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Journal articles on the topic 'Modal nondegeneracy'

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Author: Grafiati

Published: 1 June 2024

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1

Erman, Fatih, Berkin Malkoç, and O. Teoman Turgut. "Nondegeneracy of the ground state for nonrelativistic Lee model." Journal of Mathematical Physics 55, no. 8 (August 2014): 083522. http://dx.doi.org/10.1063/1.4892763.

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2

JÜNGEL, ANSGAR. "ON THE EXISTENCE AND UNIQUENESS OF TRANSIENT SOLUTIONS OF A DEGENERATE NONLINEAR DRIFT-DIFFUSION MODEL FOR SEMICONDUCTORS." Mathematical Models and Methods in Applied Sciences 04, no. 05 (October 1994): 677–703. http://dx.doi.org/10.1142/s0218202594000388.

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We analyze the degenerate transient multi-dimensional quasi-hydrodynamic model for semiconductors with general recombination rate. We present existence results for general nonlinear diffusivities for the nondegenerate and the degenerate Dirichlet-Neumann mixed boundary value problem. Uniqueness of solutions of the nondegenerate system can be proved in the Dirichlet boundary case. Concerning the degenerate problem uniqueness can only be shown under some conditions on the initial and boundary data or on the electric field.

3

Beloshapka, V. K. "Cubic Model CR-Manifolds without the Assumption of Complete Nondegeneracy." Russian Journal of Mathematical Physics 25, no. 2 (April 2018): 148–57. http://dx.doi.org/10.1134/s1061920818020024.

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4

Sabzevari, Masoud. "On the maximum conjecture." Forum Mathematicum 30, no. 6 (November 1, 2018): 1599–608. http://dx.doi.org/10.1515/forum-2017-0195.

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Abstract We verify the maximum conjecture on the rigidity of totally nondegenerate model CR manifolds in the following two cases: (i) for all models of CR dimension one, (ii) for the so-called full-models, namely those in which their associated symbol algebras are free CR. In particular, we discover that in each arbitrary CR dimension and length {\geq 3} , there exists at least one totally nondegenerate model, enjoying this conjecture. Our proofs rely upon some recent results in the Tanaka theory of transitive prolongation of fundamental algebras.

5

Bashkirov, E. K., and M. S. Mastyugin. "ENTANGLEMENT IN NONDEGENERATE TWO-PHOTON TAVIS - CUMMINGS MODEL." Vestnik of Samara University. Natural Science Series 17, no. 5 (June 14, 2017): 109–14. http://dx.doi.org/10.18287/2541-7525-2011-17-5-109-114.

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The influence of dipole-dipole interaction on the entanglement between twoatoms with different initial W-like states in Tavis Cummings model withdegenerate two-photon transitions has been investigated. The results show thatthe dipole-dipole interaction leads to the stabilization of atomic entanglement.

6

Davids, P. S., A. Saxena, and D. L. Smith. "Nondegenerate continuum model for polymer light‐emitting diodes." Journal of Applied Physics 78, no. 6 (September 15, 1995): 4244–52. http://dx.doi.org/10.1063/1.359886.

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7

Chiu, Charles B., S. Nandi, and U. Sarkar. "Unitarity Constraints on the Nondegenerate-Majorana-Neutrino Model." Physical Review Letters 55, no. 19 (November 4, 1985): 2089. http://dx.doi.org/10.1103/physrevlett.55.2089.

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8

Barbero G., J. Fernando, Alfredo Tiemblo, and Romualdo Tresguerres. "Husain-Kuchař model: Time variables and nondegenerate metrics." Physical Review D 57, no. 10 (May 15, 1998): 6104–12. http://dx.doi.org/10.1103/physrevd.57.6104.

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9

Sabzevari, Masoud. "Biholomorphic equivalence to totally nondegenerate model CR manifolds." Annali di Matematica Pura ed Applicata (1923 -) 198, no. 4 (December 1, 2018): 1121–63. http://dx.doi.org/10.1007/s10231-018-0812-2.

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10

Usman, Muhammad, and Asghar Qadir. "Dark energy from nondegenerate Higgs-vacuum." International Journal of Modern Physics D 28, no. 16 (October 11, 2019): 2040008. http://dx.doi.org/10.1142/s0218271820400088.

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Scalar fields are favorite among the possible candidates for the dark energy. Most frequently discussed are those with degenerate minima at [Formula: see text]. In this paper, a slightly modified two-Higgs doublet model is taken to contain the Higgs field(s) as the dark energy candidate(s). The model considered has two nondegenerate minima at [Formula: see text], instead of one degenerate minimum at [Formula: see text]. The component fields of one SU(2) doublet ([Formula: see text]) act as the standard model (SM) Higgs, while the component fields of the second doublet ([Formula: see text]) are taken to be the dark energy candidates (lying in the true vacuum). It is found that one can arrange for late time acceleration (dark energy) by using an SU(2) Higgs doublet, whose vacuum expectation value is zero, in the quintessential regime.

11

FREIRE, E., L. PIZARRO, A. J. RODRÍGUEZ-LUIS, and F. FERNÁNDEZ-SÁNCHEZ. "MULTIPARAMETRIC BIFURCATIONS IN AN ENZYME-CATALYZED REACTION MODEL." International Journal of Bifurcation and Chaos 15, no. 03 (March 2005): 905–47. http://dx.doi.org/10.1142/s0218127405012521.

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An exhaustive analysis of local and global bifurcations in an enzyme-catalyzed reaction model is carried out. The model, given by a planar five-parameter system of autonomous ordinary differential equations, presents a great richness of bifurcations. This enzyme-catalyzed model has been considered previously by several authors, but they only detected a minimal part of the dynamical and bifurcation behavior exhibited by the system. First, we study local bifurcations of equilibria up to codimension-three (saddle-node, cusps, nondegenerate and degenerate Hopf bifurcations, and nondegenerate and degenerate Bogdanov–Takens bifurcations) by using analytical and numerical techniques. The numerical continuation of curves of global bifurcations allows to improve the results provided by the study of local bifurcations of equilibria and to detect new homoclinic connections of codimension-three. Our analysis shows that such a system exhibits up to sixteen different kinds of homoclinic orbits and thirty different configurations of equilibria and periodic orbits. The coexistence of up to five periodic orbits is also pointed out. Several bifurcation sets are sketched in order to show the dynamical behavior the system exhibits. The different codimension-one and -two bifurcations are organized around five codimension-three degeneracies.

12

Merker, Joël. "On Propagation of Sphericity of Real Analytic Hypersurfaces across Levi Degenerate Loci." Journal of Complex Analysis 2017 (March 28, 2017): 1–8. http://dx.doi.org/10.1155/2017/1314874.

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A connected real analytic hypersurface M⊂Cn+1 whose Levi form is nondegenerate in at least one point—hence at every point of some Zariski-dense open subset—is locally biholomorphic to the model Heisenberg quadric pseudosphere of signature (k,n-k) in one point if and only if, at every other Levi nondegenerate point, it is also locally biholomorphic to some Heisenberg pseudosphere, possibly having a different signature (l,n-l). Up to signature, pseudosphericity then jumps across the Levi degenerate locus and in particular across the nonminimal locus, if there exists any.

13

D'SOUZA, RICHARD, and ARUNDHATI S. JAYARAO. "DYNAMICS OF A NONDEGENERATE TWO-PHOTON JAYNES–CUMMINGS MODEL." Modern Physics Letters B 09, no. 11n12 (May 20, 1995): 665–83. http://dx.doi.org/10.1142/s0217984995000619.

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A generalized Jaynes–Cummings model including the Stark shifts is investigated where the transition is mediated by two different modes of photons. For two different types of correlated field states, the pair coherent states and two-mode SU(1, 1) coherent states, the effect of including the Stark shift on the dynamical behavior of atomic inversion, atomic squeezing parameters, second order coherence function, and photon number distribution is investigated. Our results indicate significant changes in the behavior of these quantities for large and small average photon number <n> in the presence and absence of Stark shift and depending on the type of correlated field involved.

14

Hassan, Asif, MD Faruque Hossain, MD Sohel Rana, and Abbas Z. Kouzani. "Theoretical study of quantum capacitance and associated delay in armchair-edge graphene nanoribbons." International Journal of Computational Materials Science and Engineering 04, no. 03 (September 2015): 1550019. http://dx.doi.org/10.1142/s2047684115500190.

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This work presents a comprehensive investigation of the quantum capacitance and the associated effects on the carrier transit delay in armchair-edge graphene nanoribbons (A-GNRs) based on semi-analytical method. We emphasize on the realistic analysis of bandgap with taking edge effects into account by means of modified tight binding (TB) model. The results show that the edge effects have significant influence in defining the bandgap which is a necessary input in the accurate analyses of capacitance. The quantum capacitance is discussed in both nondegenerate (low gate voltage) and degenerate (high gate voltage) regimes. We observe that the classical capacitance limits the total gate (external) capacitance in the degenerate regime, whereas, quantum capacitance limits the external gate capacitance in the nondegenerate regime. The influence of gate capacitances on the gate delay is studied extensively to demonstrate the optimization of switching time. Moreover, the high-field behavior of a GNR is studied in the degenerate and nondegenerate regimes. We find that a smaller intrinsic capacitance appears in the channel due to high velocity carrier, which limits the quantum capacitance and thus limit the gate delay. Such detail analysis of GNRs considering a realistic model would be useful for the optimized design of GNR-based nanoelectronic devices.

15

Hachuła, Piotr, Magdalena Nockowska-Rosiak, and Ewa Schmeidel. "Neimark-Sacker Bifurcation in Demand-Inventory Model with Stock-Level-Dependent Demand." Discrete Dynamics in Nature and Society 2017 (2017): 1–10. http://dx.doi.org/10.1155/2017/8162865.

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An analysis of dynamics of demand-inventory model with stock-level-dependent demand formulated as a three-dimensional system of difference equations with four parameters is considered. By reducing the model to the planar system with five parameters, an analysis of one-parameter bifurcation of equilibrium points is presented. By the analytical method, we prove that nondegeneracy conditions for the existence of Neimark-Sacker bifurcation for the planar system are fulfilled. To check the sign of the first Lyapunov coefficient of Neimark-Sacker bifurcation, we use numerical simulations. We give phase portraits of the planar system to confirm the previous analytical results and show new interesting complex dynamical behaviours emerging in it. Finally, the economical interpretation of the system is given.

16

Lim, Gu, Myungshin Im, Gregory S. H. Paek, Sung-Chul Yoon, Changsu Choi, Sophia Kim, J. Craig Wheeler, et al. "The Early Light Curve of the Type Ia Supernova 2021hpr in NGC 3147: Progenitor Constraints with the Companion Interaction Model." Astrophysical Journal 949, no. 1 (May 1, 2023): 33. http://dx.doi.org/10.3847/1538-4357/acc10c.

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Abstract The progenitor system of Type Ia supernovae (SNe Ia) is expected to be a close binary system consisting of a carbon/oxygen white dwarf (WD) and a nondegenerate star or another WD. Here, we present results from high-cadence monitoring observations of SN 2021hpr in a spiral galaxy, NGC 3147, and constraints on the progenitor system based on its early multicolor light-curve data. First, we classify SN 2021hpr as a normal SN Ia from its long-term photometric and spectroscopic data. More interestingly, we found a significant “early excess” in the light curve over a simple power-law ∼t 2 evolution. The early light curve evolves from blue to red to blue during the first week. To explain this, we fitted the early part of the BVRI-band light curves with a two-component model consisting of ejecta–companion interaction and a simple power-law model. The early excess and its color can be explained by shock-cooling emission due to a companion star having a radius of 8.84 ± 0.58 R ⊙. We also examined Hubble Space Telescope preexplosion images, finding no detection of a progenitor candidate, consistent with the above result. However, we could not detect signs of a significant amount of stripped mass from a nondegenerate companion star (≲0.003 M ⊙ for Hα emission). The early excess light in the multiband light curve supports a nondegenerate companion in the progenitor system of SN 2021hpr. At the same time, the nondetection of emission lines opens the door for other methods to explain this event.

17

Xu, Huantian, Shu Chen, Kaijun Mu, Junqiao Wang, Yongzhi Tian, Shilei Su, Yanchao Mao, and Erjun Liang. "Investigation of nondegenerate two-photon absorption in common fluorescent dyes." Journal of Nonlinear Optical Physics & Materials 27, no. 03 (September 2018): 1850027. http://dx.doi.org/10.1142/s0218863518500273.

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The nondegenerate two-photon excited fluorescence (ND-TPEF) and nondegenerate two-photon absorption (ND-TPA) cross-sections of two common fluorescent dyes were investigated using the femtosecond pump-probe technique at several wavelength combinations. Time-resolved and laser intensity dependent fluorescence revealed that the fluorescence was originated from the ND-TPA effect. Experimental ND-TPA cross-section exhibited larger values than corresponding degenerate two-photon absorption case. Additionally, an improved essential-state model involving multiple TPA excited states was proposed to evaluate the TPA cross-section of organic molecules, which showed good agreement with experimental results. This study indicates that the investigated fluorescent dyes would play important roles in multicolor two-photon imaging.

18

Jacod, Jean, and Mark Podolskij. "On the minimal number of driving Lévy motions in a multivariate price model." Journal of Applied Probability 55, no. 3 (September 2018): 823–33. http://dx.doi.org/10.1017/jpr.2018.52.

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Abstract In this paper we consider the factor analysis for Lévy-driven multivariate price models with stochastic volatility. Our main aim is to provide conditions on the volatility process under which we can possibly reduce the dimension of the driving Lévy motion. We find that these conditions depend on a particular form of the multivariate Lévy process. In some settings we concentrate on nondegenerate symmetric α-stable Lévy motions.

19

Chebotarev, Alexander Yu, Andrey E. Kovtanyuk, Gleb V. Grenkin, Nikolai D. Botkin, and Karl-Heinz Hoffmann. "Nondegeneracy of optimality conditions in control problems for a radiative–conductive heat transfer model." Applied Mathematics and Computation 289 (October 2016): 371–80. http://dx.doi.org/10.1016/j.amc.2016.05.036.

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20

Ashraf, M. M. "Cavity field spectra of the nondegenerate two-photon Jaynes-Cummings model." Physical Review A 50, no. 6 (December 1, 1994): 5116–21. http://dx.doi.org/10.1103/physreva.50.5116.

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21

Kam, Timothy, and Junsang Lee. "On stationary recursive equilibria and nondegenerate state spaces: The Huggett model." Journal of Mathematical Economics 50 (January 2014): 156–59. http://dx.doi.org/10.1016/j.jmateco.2013.09.009.

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22

She, Gaoyang, and Fengqi Yi. "Dynamics and Bifurcations in a Nondegenerate Homogeneous Diffusive SIR Rabies Model." SIAM Journal on Applied Mathematics 84, no. 2 (April 9, 2024): 632–60. http://dx.doi.org/10.1137/23m159055x.

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23

Geller, William, and Michał Misiurewicz. "Farey–Lorenz Permutations for Interval Maps." International Journal of Bifurcation and Chaos 28, no. 02 (February 2018): 1850021. http://dx.doi.org/10.1142/s0218127418500219.

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Lorenz-like maps arise in models of neuron activity, among other places. Motivated by questions about the pattern of neuron firing in such a model, we study periodic orbits and their itineraries for Lorenz-like maps with nondegenerate rotation intervals. We characterize such orbits for the simplest such case and gain substantial information about the general case.

24

Yuan, Xiao-Tong, and Shuicheng Yan. "Nondegenerate Piecewise Linear Systems: A Finite Newton Algorithm and Applications in Machine Learning." Neural Computation 24, no. 4 (April 2012): 1047–84. http://dx.doi.org/10.1162/neco_a_00241.

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We investigate Newton-type optimization methods for solving piecewise linear systems (PLSs) with nondegenerate coefficient matrix. Such systems arise, for example, from the numerical solution of linear complementarity problem, which is useful to model several learning and optimization problems. In this letter, we propose an effective damped Newton method, PLS-DN, to find the exact (up to machine precision) solution of nondegenerate PLSs. PLS-DN exhibits provable semiiterative property, that is, the algorithm converges globally to the exact solution in a finite number of iterations. The rate of convergence is shown to be at least linear before termination. We emphasize the applications of our method in modeling, from a novel perspective of PLSs, some statistical learning problems such as box-constrained least squares, elitist Lasso (Kowalski & Torreesani, 2008 ), and support vector machines (Cortes & Vapnik, 1995 ). Numerical results on synthetic and benchmark data sets are presented to demonstrate the effectiveness and efficiency of PLS-DN on these problems.

25

Naderi, M. H. "Intrinsic decoherence effects on quantum dynamics of the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation." Canadian Journal of Physics 85, no. 10 (October 1, 2007): 1071–96. http://dx.doi.org/10.1139/p07-097.

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In this paper, we study the influence of the intrinsic decoherence on quantum statistical properties of a generalized nonlinear interacting atom–field system, i.e., the nondegenerate two-photon f-deformed Jaynes–Cummings model governed by the Milburn equation. The model contains the nonlinearities of both the cavity–field and the atom–field coupling. Until now, very few exact solutions of nonlinear systems that include a form of decoherence have been presented. The main achievement of the present work is to find exact analytical solutions for the quantum dynamics of the nonlinear model under consideration in the presence of intrinsic decoherence. With the help of a supersymmetric transformation, we first put the model Hamiltonian into an appropriate form for treating the intrinsic decoherence. Then, by applying the superoperator technique, we find an exact solution of the Milburn equation for a nondegenerate two-photon f-deformed Jaynes–Cummings model. We use this solution to investigate the effects of the intrinsic decoherence on temporal evolution of various nonclassical properties of the system, i.e., atomic population inversion, atomic dipole squeezing, atom–field entanglement, sub-Poissonian photon statistics, cross correlation between the two modes and quadrature squeezing of the cavity field. Particularly, we compare the numerical results for three different cases of two-mode deformed, one-mode deformed, and nondeformed Jaynes–Cummings models. PACS Nos.: 42.50.Ct, 42.50.Dv, 03.65.Yz

26

Levin, George A., and Khandker F. Quader. "Scaling in spin susceptibility of high-Tccuprates: A model with nondegenerate fermions." Physical Review B 53, no. 2 (January 1, 1996): R530—R533. http://dx.doi.org/10.1103/physrevb.53.r530.

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27

Sai-Yun, Ye. "Measurement Induced Enhancement of Squeezing in Nondegenerate Two-Photon Jaynes–Cummings Model." Communications in Theoretical Physics 46, no. 6 (December 2006): 1065–68. http://dx.doi.org/10.1088/0253-6102/46/6/020.

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28

Ahmadi, Mohammad Taghi, Zaharah Johari, N. Aziziah Amin, Amir Hossein Fallahpour, and Razali Ismail. "Graphene Nanoribbon Conductance Model in Parabolic Band Structure." Journal of Nanomaterials 2010 (2010): 1–4. http://dx.doi.org/10.1155/2010/753738.

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Many experimental measurements have been done on GNR conductance. In this paper, analytical model of GNR conductance is presented. Moreover, comparison with published data which illustrates good agreement between them is studied. Conductance of GNR as a one-dimensional device channel with parabolic band structures near the charge neutrality point is improved. Based on quantum confinement effect, the conductance of GNR in parabolic part of the band structure, also the temperature-dependent conductance which displays minimum conductance near the charge neutrality point are calculated. Graphene nanoribbon (GNR) with parabolic band structure near the minimum band energy terminates Fermi-Dirac integral base method on band structure study. While band structure is parabola, semiconducting GNRs conductance is a function of Fermi-Dirac integral which is based on Maxwell approximation in nondegenerate limit especially for a long channel.

29

Vimala, P. "Modeling of Quasi-Ballistic Silicon Cylindrical Gate-all-Around MOSFETs." Journal of Nano Research 32 (May 2015): 51–59. http://dx.doi.org/10.4028/www.scientific.net/jnanor.32.51.

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A compact model for the quasi-ballistic cylindrical gate-all-around MOSFET was developed by supplementing the ballistic framework previously disclosed by us with an original energy quantization model. The ballistic mobility is calculated for both degenerate and nondegenerate conditions under collision-free transport. The conventional device electric current showed a remarkable decrease compared with the quasi-ballistic current. The results so obtained have been compared with those obtained from Sentarus device simulator and are found to be in good agreement.

30

Zivot, Eric. "A Bayesian Analysis Of The Unit Root Hypothesis Within An Unobserved Components Model." Econometric Theory 10, no. 3-4 (August 1994): 552–78. http://dx.doi.org/10.1017/s0266466600008665.

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In this paper we extend some of Phillips's [4] results to nonlinear unobserved components models and develop a posterior odds ratio test of the unit root hypothesis based on flat and Jeffreys priors. In contrast to the analysis presented by Schotman and van Dijk [9], we utilize a nondegenerate structural representation of the components model that allows us to determine well-behaved Jeffreys priors, posterior densities under flat priors and Jeffreys priors, and posterior odds ratios for the unit root hypothesis without a proper prior for the level parameter. The analysis highlights the importance of the treatment of initial values for inference concerning stationarity and unit roots.

31

Hosseinzadeh, Griffin, David J. Sand, Peter Lundqvist, Jennifer E. Andrews, K. Azalee Bostroem, Yize Dong, Daryl Janzen, et al. "Constraining the Progenitor System of the Type Ia Supernova 2021aefx." Astrophysical Journal Letters 933, no. 2 (July 1, 2022): L45. http://dx.doi.org/10.3847/2041-8213/ac7cef.

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Abstract We present high-cadence optical and ultraviolet light curves of the normal Type Ia supernova (SN) 2021aefx, which shows an early bump during the first two days of observation. This bump may be a signature of interaction between the exploding white dwarf and a nondegenerate binary companion, or it may be intrinsic to the white dwarf explosion mechanism. In the case of the former, the short duration of the bump implies a relatively compact main-sequence companion star, although this conclusion is viewing-angle dependent. Our best-fit companion-shocking and double-detonation models both overpredict the UV luminosity during the bump, and existing nickel-shell models do not match the strength and timescale of the bump. We also present nebular spectra of SN 2021aefx, which do not show the hydrogen or helium emission expected from a nondegenerate companion, as well as a radio nondetection that rules out all symbiotic progenitor systems and most accretion disk winds. Our analysis places strong but conflicting constraints on the progenitor of SN 2021aefx; no current model can explain all of our observations.

32

SINGH, NAVINDER. "TWO-TEMPERATURE MODEL OF NONEQUILIBRIUM ELECTRON RELAXATION: A REVIEW." International Journal of Modern Physics B 24, no. 09 (April 10, 2010): 1141–58. http://dx.doi.org/10.1142/s0217979210055366.

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The present paper is a review of the phenomena related to nonequilibrium electron relaxation in bulk and nano-scale metallic samples. The workable Two-Temperature Model (TTM) based on Boltzmann–Bloch–Peierls kinetic equation has been applied to study the ultra-fast (femto-second) electronic relaxation in various metallic systems. The advent of new ultra-fast (femto-second) laser technology and pump-probe spectroscopy has produced wealth of new results for micro- and nano-scale electronic technology. The aim of this paper is to clarify the TTM, conditions of its validity and nonvalidity, its modifications for nano-systems, to sum-up the progress, and to point out open problems in this field. We also give a phenomenological integro-differential equation for the kinetics of nondegenerate electrons that goes beyond the TTM.

33

Najar, Hatem. "Internal Lifshitz tails for discrete Schrödinger operators." International Journal of Mathematics and Mathematical Sciences 2006 (2006): 1–8. http://dx.doi.org/10.1155/ijmms/2006/91865.

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We consider random Schrödinger operatorsHωacting onl2(ℤd). We adapt the technique of the periodic approximations used in (2003) for the present model to prove that the integrated density of states ofHωhas a Lifshitz behavior at the edges of internal spectral gaps if and only if the integrated density of states of a well-chosen periodic operator is nondegenerate at the same edges. A possible application of the result to get Anderson localization is given.

34

Bashkirov, E. K. "Dynamics of the two-atom Jaynes-Cummings model with nondegenerate two-photon transitions." Laser Physics 16, no. 8 (August 2006): 1218–26. http://dx.doi.org/10.1134/s1054660x0608010x.

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35

Bava, G. P., P. Debernardi, and G. Osella. "Density matrix model for highly nondegenerate four-wave mixing in semiconductor laser devices." IEE Proceedings - Optoelectronics 141, no. 2 (April 1, 1994): 119–25. http://dx.doi.org/10.1049/ip-opt:19949991.

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36

Shiroky, I. B., and O. V. Gendelman. "Propagation of transition front in bi-stable nondegenerate chains: Model dependence and universality." Journal of the Mechanics and Physics of Solids 104 (July 2017): 144–56. http://dx.doi.org/10.1016/j.jmps.2017.04.011.

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37

Kuznetsova I. A. and Savenko O. V. "Interaction of an electromagnetic H-wave with a semiconductor nanolayer." Semiconductors 56, no. 8 (2022): 570. http://dx.doi.org/10.21883/sc.2022.08.54116.33.

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A theoretical model of the electromagnetic H-wave interaction with a semiconductor nanolayer, the thickness of which can be comparable to or less than charge carrier de Broglie wavelength is constructed. We assume the frequency range of the electromagnetic wave to be much less than the plasma frequency. Analytical expressions are derived for optical coefficients as the functions of the dimensionless thickness, electromagnetic wave frequency and incidence angle, chemical potential, and surface roughness parameters. The results derived for the limiting cases of degenerate and nondegenerate electron gas are analyzed. Keywords: nanolayer, Liouville equation, de Broglie wavelength, Soffer model, optical coefficients.

38

LECHTENFELD, OLAF, RASHMI RAY, and ARUP RAY. "PHASE DIAGRAM AND ORTHOGONAL POLYNOMIALS IN MULTIPLE-WELL MATRIX MODELS." International Journal of Modern Physics A 06, no. 25 (October 20, 1991): 4491–515. http://dx.doi.org/10.1142/s0217751x91002148.

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We investigate a zero-dimensional Hermitian one-matrix model in a triple-well potential. Its tree-level phase structure is analyzed semiclassically as well as in the framework of orthogonal polynomials. Some multiple-arc eigenvalue distributions in the first method correspond to quasiperiodic large-N behavior of recursion coefficients for the second. We further establish this connection between the two approaches by finding three-arc saddle points from orthogonal polynomials. The latter require a modification for nondegenerate potential minima; we propose weighing the average over potential wells.

39

Bendahmane, Mostafa, Fahd Karami, Elmahdi Erraji, Abdelghafour Atlas, and Lekbir Afraites. "Optimal control for a two-sidedly degenerate aggregation equation." Nonlinear Analysis: Modelling and Control 28 (June 4, 2023): 1–24. http://dx.doi.org/10.15388/namc.2023.28.32395.

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In this paper, we are concerned with the study of the mathematical analysis for an optimal control of a nonlocal degenerate aggregation model. This model describes the aggregation of organisms such as pedestrian movements, chemotaxis, animal swarming. We establish the wellposedness (existence and uniqueness) for the weak solution of the direct problem by means of an auxiliary nondegenerate aggregation equation, the Faedo–Galerkin method (for the existence result) and duality method (for the uniqueness). Moreover, for the adjoint problem, we prove the existence result of minimizers and first-order necessary conditions. The main novelty of this work concerns the presence of a control to our nonlocal degenerate aggregation model. Our results are complemented with some numerical simulations.

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Liao, Zhipeng, and Xiaoxia Shi. "A nondegenerate Vuong test and post selection confidence intervals for semi/nonparametric models." Quantitative Economics 11, no. 3 (2020): 983–1017. http://dx.doi.org/10.3982/qe1312.

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This paper proposes a new model selection test for the statistical comparison of semi/non‐parametric models based on a general quasi‐likelihood ratio criterion. An important feature of the new test is its uniformly exact asymptotic size in the overlapping nonnested case, as well as in the easier nested and strictly nonnested cases. The uniform size control is achieved without using pretesting, sample‐splitting, or simulated critical values. We also show that the test has nontrivial power against all n ‐local alternatives and against some local alternatives that converge to the null faster than n . Finally, we provide a framework for conducting uniformly valid post model selection inference for model parameters. The finite sample performance of the nondegenerate test and that of the post model selection inference procedure are illustrated in a mean‐regression example by Monte Carlo.

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Rubab, N., and G. Jaffer. "Quantum Treatment of Kinetic Alfvén Waves Instability in a Dusty Plasma: Magnetized Ions." Advances in High Energy Physics 2016 (2016): 1–6. http://dx.doi.org/10.1155/2016/6793572.

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Kinetic Alfvén wave instability is examined rigorously in a uniform nondegenerate quantum dusty plasma. A linear dispersion relation of kinetic Alfvén wave in inertial regime is derived by incorporating Bohm potential in the linearized Vlasov model. It is found that the quantum correctionCQappears due to the insertion of Bohm potential in Vlasov model and causes the suppression in the Alfvén wave frequency and the growth rates of instability. A number of analytical expressions for various modes of propagation are derived. It is also found that the system parameters, that is, streaming velocity, dust charge, number density, and quantum correction, significantly influence the dispersion relation and the growth rate of instability.

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Li Yue-Ke, Zhang Gui-Ming, and Gao Yun-Feng. "Quantum interference in the cavity field spectra of nondegenerate two-photon Jaynes-Cummings model." Acta Physica Sinica 59, no. 3 (2010): 1786. http://dx.doi.org/10.7498/aps.59.1786.

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Bashkirov, E. K., and M. S. Rusakova. "Atom-field entanglement in two-atom Jaynes–Cummings model with nondegenerate two-photon transitions." Optics Communications 281, no. 17 (September 2008): 4380–86. http://dx.doi.org/10.1016/j.optcom.2008.04.060.

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Ashraf, M. M., and M. S. K. Razmi. "Atomic-dipole squeezing and emission spectra of the nondegenerate two-photon Jaynes-Cummings model." Physical Review A 45, no. 11 (June 1, 1992): 8121–28. http://dx.doi.org/10.1103/physreva.45.8121.

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Bidaux, R., N. Boccara, and G. Forg�cs. "Three-spin interaction Ising model with a nondegenerate ground state at zero applied field." Journal of Statistical Physics 45, no. 1-2 (October 1986): 113–34. http://dx.doi.org/10.1007/bf01033081.

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Miękisz, Jacek. "Classical lattice gas model with a unique nondegenerate but unstable periodic ground state configuration." Communications in Mathematical Physics 111, no. 4 (December 1987): 533–38. http://dx.doi.org/10.1007/bf01219072.

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Кузнецова, И. А., and О. В. Савенко. "Взаимодействие электромагнитной H-волны с полупроводниковым нанослоем." Физика и техника полупроводников 56, no. 8 (2022): 794. http://dx.doi.org/10.21883/ftp.2022.08.53147.33.

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A theoretical model of the electromagnetic H-wave interaction with a semiconductor nanolayer, the thickness of which can be comparable to or less than charge carrier de Broglie wavelength is constructed. We assume the frequency range of the electromagnetic wave to be much less than the plasma frequency. Analytical expressions are derived for optical coefficients as the functions of the dimensionless thickness, electromagnetic wave frequency and incidence angle, chemical potential, and surface roughness parameters. The results derived for the limiting cases of degenerate and nondegenerate electron gas are analyzed.

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Babanli, A. M. "Compensation points in the lattice of semiconductor nanotubes." Low Temperature Physics 48, no. 9 (September 2022): 716–20. http://dx.doi.org/10.1063/10.0013296.

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In the present work, we investigated the thermodynamic properties of the lattice formed by noninteracting nanotubes using a single-walled nanotube model in a longitudinal magnetic field. We show that the specific heat of nondegenerate electron gas in semiconductor nanotubes changes from kB/2 to kB as temperature increases. Magnetization has a “saw-tooth” form as a function of the magnetic field. For the lattice of nanotubes with two different radii, we found ordinary compensation points, points at which the magnetization vanishes at fixed values of the magnetic field strength.

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Carette, Jacques, Chris Heunen, Robin Kaarsgaard, and Amr Sabry. "With a Few Square Roots, Quantum Computing Is as Easy as Pi." Proceedings of the ACM on Programming Languages 8, POPL (January 5, 2024): 546–74. http://dx.doi.org/10.1145/3632861.

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Rig groupoids provide a semantic model of Π, a universal classical reversible programming language over finite types. We prove that extending rig groupoids with just two maps and three equations about them results in a model of quantum computing that is computationally universal and equationally sound and complete for a variety of gate sets. The first map corresponds to an 8th root of the identity morphism on the unit 1. The second map corresponds to a square root of the symmetry on 1+1. As square roots are generally not unique and can sometimes even be trivial, the maps are constrained to satisfy a nondegeneracy axiom, which we relate to the Euler decomposition of the Hadamard gate. The semantic construction is turned into an extension of Π, called √Π, that is a computationally universal quantum programming language equipped with an equational theory that is sound and complete with respect to the Clifford gate set, the standard gate set of Clifford+T restricted to ≤2 qubits, and the computationally universal Gaussian Clifford+T gate set.

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GARIEPY, R. F., M. SHILLOR, and X. XU. "Existence of generalized weak solutions to a model for in situ vitrification." European Journal of Applied Mathematics 9, no. 6 (December 1998): 543–59. http://dx.doi.org/10.1017/s0956792598003593.

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We prove the existence of generalized weak solutions of a new model for the process of in situ vitrification. The model describes the steady process of vitrification of soil, i.e. the melting of soil by means of electrical current and subsequent solidification as a rock. This is the core of a new technology developed to treat buried low-level radioactive or toxic waste. It is a free boundary problem consisting of a degenerate elliptic equation for the electric potential coupled with a stationary Stefan problem for melting the soil, which results from the Joule heating. The degeneracy reflects the smallness of the ratio of the electrical conductivity of the soil to that of the molten rock. The existence result is proved by considering a sequence of approximate nondegenerate problems, obtaining the necessary a priori estimates and passing to the limit. We also establish a sufficient condition for the solution to exhibit a molten region.