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Articles de revues sur le sujet « Semirelativistico »

Auteur : Grafiati
Publié le 9 mars 2023
Mis à jour le 11 mars 2023

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1

Núñez, Manuel. « On the range of validity of the semirelativistic magnetohydrodynamic equations ». Journal of Plasma Physics 80, no 5 (9 juin 2014) : 697–706. http://dx.doi.org/10.1017/s0022377814000245.

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AbstractPlasmas with moderate flow velocity and sound speed, but large Alfvén speed have been described by the semirelativistic magnetohydrodynamics (MHD) equations. While these are correct when restricted to their range of validity, they may have the undesirable effect of predicting unphysical accelerations, much faster than the ones of classical MHD. We present a family of planar models on which the Lorentz force acts more forcefully in the semirelativistic approach, yielding a flow velocity which rapidly exceeds the limits within which the equations are valid.
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2

Hall, Richard L., et Wolfgang Lucha. « Gravitating semirelativisticN-boson systems ». Journal of Physics A : Mathematical and General 39, no 37 (29 août 2006) : 11531–40. http://dx.doi.org/10.1088/0305-4470/39/37/013.

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3

IKHDAIR, SAMEER M., et RAMAZAN SEVER. « SPECTROSCOPY OF Bc MESON IN A SEMI-RELATIVISTIC QUARK MODEL USING THE SHIFTED LARGE-N EXPANSION METHOD ». International Journal of Modern Physics A 19, no 11 (30 avril 2004) : 1771–91. http://dx.doi.org/10.1142/s0217751x0401780x.

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We calculate the [Formula: see text] mass spectrum, the splitting values and some other properties in the framework of the semirelativistic equation by applying the shifted large-N expansion technique. We use seven different central potentials together with an improved QCD-motivated interquark potentials calculated to two loops in the modified minimal-subtraction [Formula: see text] scheme. The parameters of these potentials are fitted to generate the semirelativistic bound states of [Formula: see text] quarkonium system in close conformity with the experimental and the present available calculated center-of-gravity (c.o.g.) data. Calculations of the energy bound states are carried out up to third order. Our results are in excellent fit with the results of the other works.
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4

Gupta, Suraj N., Stanley F. Radford et Wayne W. Repko. « Semirelativistic potential model for charmonium ». Physical Review D 31, no 1 (1 janvier 1985) : 160–63. http://dx.doi.org/10.1103/physrevd.31.160.

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HALL, RICHARD L., WOLFGANG LUCHA et FRANZ F. SCHÖBERL. « DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS ». International Journal of Modern Physics A 18, no 15 (20 juin 2003) : 2657–80. http://dx.doi.org/10.1142/s0217751x0301406x.

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We review various attempts to localize the discrete spectra of semirelativistic Hamiltonians of the form [Formula: see text] (defined, without loss of generality but for definiteness, in three spatial dimensions) as entering, for instance, in the spinless Salpeter equation; every Hamiltonian in this class of operators consists of the relativistic kinetic energy [Formula: see text], where β > 0 allows for the possibility of more than one particles of mass m, and a spherically symmetric attractive potential V(r), r ≡ |x|. In general, accurate eigenvalues of a nonlocal Hamiltonian operator can only be found by the use of a numerical approximation procedure. Our main emphasis, however, is on the derivation of rigorous semianalytical expressions for both upper and lower bounds to the energy levels of such operators. We compare the bounds obtained within different approaches and present relationships existing between the bounds.
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6

LUCHA, WOLFGANG, et FRANZ F. SCHÖBERL. « SEMIRELATIVISTIC TREATMENT OF BOUND STATES ». International Journal of Modern Physics A 14, no 15 (20 juin 1999) : 2309–33. http://dx.doi.org/10.1142/s0217751x99001160.

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This review discusses several aspects of the semirelativistic description of bound states by the spinless Salpeter equation (which represents the simplest equation of motion incorporating relativistic effects) and, in particular, presents or recalls some very simple and elementary methods which allow us to derive rigorous statements on the corresponding solutions, that is, on energy levels as well as wave functions.
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7

FURUICHI, MIKITO, KIYOTAKA SHIMIZU et Sachiko Takeuchi. « DESCRIPTION OF SU(3) S-WAVE AND P-WAVE BARYONS ». Modern Physics Letters A 18, no 02n06 (28 février 2003) : 362–65. http://dx.doi.org/10.1142/s0217732303010491.

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We investigate the structure of the SU(3) octet and decuplet baryons employing a constituent chiral quark model. We study the ground, s-wave and p-wave excited states of the three-quark system with many range gaussian bases. The method, which we employ here, is shown to work quite well in describing the structure of the SU(3) s-wave and p-wave baryons. It is found that the mass differences between positive and negative parity states are well reproduced. It is also found that the pseudoscalar (ps) meson exchange potential plays a very important role in describing the mass of the nucleon resonance N*(1440) (roper). We also discuss how the semirelativistic approach works in the chiral quark model, and how to treat the potential terms in the semirelativistic approach.
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8

Erman, Fatih. « On the number of bound states of semirelativistic Hamiltonian with Dirac delta potentials in one dimension ». Canadian Journal of Physics 96, no 11 (novembre 2018) : 1235–41. http://dx.doi.org/10.1139/cjp-2017-0166.

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We study the bound state problem for semirelativistic N attractive Dirac δ-potentials in one dimension. We give a sufficient condition for the Hamiltonian to have N bound states and give an explicit criterion for it.
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9

HALL, RICHARD L., et WOLFGANG LUCHA. « SCHRÖDINGER SECANT LOWER BOUNDS TO SEMIRELATIVISTIC EIGENVALUES ». International Journal of Modern Physics A 22, no 10 (20 avril 2007) : 1899–904. http://dx.doi.org/10.1142/s0217751x07036312.

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It is shown that the ground-state eigenvalue of a semirelativistic Hamiltonian of the form [Formula: see text] is bounded below by the Schrödinger operator m + β p2 + V, for suitable β>0. An example is discussed.
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10

Zhang, Lijie, Jianfei Tang, Jinhua Shen, Dejin Wu et Ling Chen. « Effects of Fully Relativistic Condition on Electron Cyclotron Maser Emission ». Astrophysical Journal 944, no 1 (1 février 2023) : 37. http://dx.doi.org/10.3847/1538-4357/acaef9.

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Abstract The electron cyclotron maser (ECM) instability is a very important nonthermal radiation mechanism. It has been developed by proposing various electron distribution functions as well as the relativistic resonance condition, called the semirelativistic correction. Taking account of the relativistic effects of both the velocity distribution of energetic electrons and the resonance condition, called the fully relativistic correction, the present paper investigates the ECM instability driven by a power-law electron distribution with a low-energy cutoff. The results show that (1) both in the semirelativistic and fully relativistic cases, the growth rate and relative frequency bandwidth of ordinary (O) and extraordinary (X) modes show a positive correlation with cutoff energy E c , i.e., the peak frequency decreases with increasing E c ; (2) the peak frequency ratio (H peak/F peak) of the harmonic and fundamental waves is always ∼2; (3) compared with the semirelativistic case, the fully relativistic case has a larger growth rate (for both the O and X mode) and a smaller peak frequency (only for the O mode) for energy > 50 keV, and there is almost no difference at lower energy for the two cases; (4) the peak frequency of the X1 mode can be higher than its cutoff frequency in a strongly magnetized plasma, implying that the X1 mode emission may escape more easily for a higher E c and stronger magnetic field. These results can be helpful for us to understand better the physics of radio bursts from the Sun and other objects.
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11

GONZÁLEZ, P. « UNQUENCHED QUARK MODEL DESCRIPTION OF CHARMONIUM ». International Journal of Modern Physics : Conference Series 02 (janvier 2011) : 178–82. http://dx.doi.org/10.1142/s2010194511000778.

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We show that the charmonium spectrum may be reproduced to a good precision by means of a semirelativistic quark model approach based on a universal static potential effectively incorporating effects from sea quark-antiquark pairs. Detailed predictions for upcoming data are derived.
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12

Hall, Richard L., et Wolfgang Lucha. « Binding energy of semirelativisticN-boson systems ». Journal of Physics A : Mathematical and Theoretical 40, no 23 (22 mai 2007) : 6183–92. http://dx.doi.org/10.1088/1751-8113/40/23/012.

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13

Cho, Yonggeun, Tohru Ozawa, Hironobu Sasaki et Yongsun Shim. « Remarks on the semirelativistic Hartree equations ». Discrete & ; Continuous Dynamical Systems - A 23, no 4 (2009) : 1277–94. http://dx.doi.org/10.3934/dcds.2009.23.1277.

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14

Lucha, Wolfgang, et Franz F. Schöberl. « Semirelativistic Bound-State Equations : Trivial Considerations ». EPJ Web of Conferences 80 (2014) : 00049. http://dx.doi.org/10.1051/epjconf/20148000049.

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15

Gupta, Suraj N., Stanley F. Radford et Wayne W. Repko. « Semirelativistic potential model for heavy quarkonia ». Physical Review D 34, no 1 (1 juillet 1986) : 201–6. http://dx.doi.org/10.1103/physrevd.34.201.

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16

Lucha, Wolfgang, et Franz F. Schöberl. « Semirelativistic Hamiltonians of apparently nonrelativistic form ». Physical Review A 51, no 6 (1 juin 1995) : 4419–26. http://dx.doi.org/10.1103/physreva.51.4419.

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17

Bhattacharyya, Bijan K., D. M. Bylander et Leonard Kleinman. « Self-consistent semirelativistic energy bands ofWSi2 ». Physical Review B 31, no 4 (15 février 1985) : 2049–55. http://dx.doi.org/10.1103/physrevb.31.2049.

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18

Aki, Gonca L., Peter A. Markowich et Christof Sparber. « Classical limit for semirelativistic Hartree systems ». Journal of Mathematical Physics 49, no 10 (octobre 2008) : 102110. http://dx.doi.org/10.1063/1.3000059.

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19

Cho, Yonggeun, et Tohru Ozawa. « On the Semirelativistic Hartree‐Type Equation ». SIAM Journal on Mathematical Analysis 38, no 4 (janvier 2006) : 1060–74. http://dx.doi.org/10.1137/060653688.

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20

Hall, Richard L., et Wolfgang Lucha. « Schrödinger upper bounds to semirelativistic eigenvalues ». Journal of Physics A : Mathematical and General 38, no 37 (31 août 2005) : 7997–8002. http://dx.doi.org/10.1088/0305-4470/38/37/005.

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21

Secchi, Simone. « Existence of solutions for a semirelativistic Hartree equation with unbounded potentials ». Forum Mathematicum 30, no 1 (1 janvier 2018) : 129–40. http://dx.doi.org/10.1515/forum-2017-0006.

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Abstract We prove the existence of a solution to the semirelativistic Hartree equation \sqrt{-\Delta+m^{2}}u+V(x)u=A(x)(W*|u|^{p})|u|^{p-2}u under suitable growth assumption on the potential functions V and A. In particular, both can be unbounded from above.
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22

Cho, Yong-Geun, et Tohru Ozawa. « GLOBAL SOLUTIONS OF SEMIRELATIVISTIC HARTREE TYPE EQUATIONS ». Journal of the Korean Mathematical Society 44, no 5 (30 septembre 2007) : 1065–78. http://dx.doi.org/10.4134/jkms.2007.44.5.1065.

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23

Mourenas, D., V. V. Krasnosel'skikh et C. Beghin. « Semirelativistic maser cyclotron instabilities in multicomponent plasmas ». Journal of Geophysical Research : Space Physics 98, A4 (1 avril 1993) : 5855–63. http://dx.doi.org/10.1029/92ja02788.

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24

SILVESTRE-BRAC, BERNARD, CLAUDE SEMAY et FABIEN BUISSERET. « SEMIRELATIVISTIC HAMILTONIANS AND THE AUXILIARY FIELD METHOD ». International Journal of Modern Physics A 24, no 25n26 (20 octobre 2009) : 4695–726. http://dx.doi.org/10.1142/s0217751x09045960.

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Approximate analytical closed energy formulas for semirelativistic Hamiltonians of the form [Formula: see text] are obtained within the framework of the auxiliary field method. This method, which is equivalent to the envelope theory, has been recently proposed as a powerful tool to get approximate analytical solutions of the Schrödinger equation. Various shapes for the potential V(r) are investigated: power-law, funnel, square root, and Yukawa. A comparison with the exact results is discussed in detail.
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25

Zaheer, S., et G. Murtaza. « Weibel instability with semirelativistic Maxwellian distribution function ». Physics of Plasmas 14, no 7 (juillet 2007) : 072106. http://dx.doi.org/10.1063/1.2749254.

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26

Yang, Changhun. « Small data scattering of semirelativistic Hartree equation ». Nonlinear Analysis 178 (janvier 2019) : 41–55. http://dx.doi.org/10.1016/j.na.2018.07.003.

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27

Gombosi, Tamas I., Gábor Tóth, Darren L. De Zeeuw, Kenneth C. Hansen, Konstantin Kabin et Kenneth G. Powell. « Semirelativistic Magnetohydrodynamics and Physics-Based Convergence Acceleration ». Journal of Computational Physics 177, no 1 (mars 2002) : 176–205. http://dx.doi.org/10.1006/jcph.2002.7009.

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28

RADFORD, STANLEY F., et WAYNE W. REPKO. « DESCRIBING RECENTLY DISCOVERED NARROW STATES AS QUARKONIA USING A POTENTIAL MODEL ». International Journal of Modern Physics A 20, no 16 (30 juin 2005) : 3774–76. http://dx.doi.org/10.1142/s0217751x05027588.

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We examine to what extent several recently discovered narrow resonances can be interpreted as conventional [Formula: see text] bound states describable using a potential model. In doing so, we use a semirelativistic approach, which includes both the v2/c2 and QCD one-loop corrections to the short distance potential and a long range linear potential together with its scalar and vector v2/c2 spin-dependent terms.
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29

Sobhani, Hadi, et Hassan Hassanabadi. « Study of Time Evolution for Approximation of Two-Body Spinless Salpeter Equation in Presence of Time-Dependent Interaction ». Advances in High Energy Physics 2016 (2016) : 1–5. http://dx.doi.org/10.1155/2016/3647392.

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We approximate the two-body spinless Salpeter equation with the one which is valid in heavy quarks limit. We consider the resulting semirelativistic equation in a time-dependent formulation. We use the Lewis-Riesenfeld dynamical invariant method and series solution to obtain the solutions of the differential equation. We have also done some calculations in order to derive the time evolution operator for the considered problem.
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30

LOUIS-MARTINEZ, DOMINGO J. « A DERIVATION OF THE BREIT EQUATION FROM BARUT'S COVARIANT FORMULATION OF ELECTRODYNAMICS IN TERMS OF DIRECT INTERACTIONS ». Modern Physics Letters A 27, no 11 (10 avril 2012) : 1250064. http://dx.doi.org/10.1142/s0217732312500642.

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We study Barut's covariant equations describing the electromagnetic interactions between N spin-1/2 particles. In the covariant formulation each particle is described by a Dirac spinor. It is assumed that the interactions between the particles are not mediated by a bosonic field (direct interactions). Within this formulation, using the Lagrangian formalism, we derive the approximate (semirelativistic) Breit equation for two interacting spin-1/2 particles.
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31

HASSANABADI, S., A. A. RAJABI et S. ZARRINKAMAR. « CORNELL AND KRATZER POTENTIALS WITHIN THE SEMIRELATIVISTIC TREATMENT ». Modern Physics Letters A 27, no 10 (28 mars 2012) : 1250057. http://dx.doi.org/10.1142/s0217732312500575.

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We obtain approximate analytical solutions of the two-body Spinless Salpeter equation under both Cornell (Funnel) and Kratzer potentials and thereby provide a basis to study semirelativistic two-body systems which frequently appear in physics. Apart from the physical significance, the work is mathematically appealing as we have actually reported approximate analytical solutions of the corresponding Heun equations which appear as one of the most challenging differential equations of mathematical physics.
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32

Hall, Richard L., et Wolfgang Lucha. « SemirelativisticN-boson systems bound by attractive pair potentials ». Journal of Physics A : Mathematical and Theoretical 42, no 39 (11 septembre 2009) : 395303. http://dx.doi.org/10.1088/1751-8113/42/39/395303.

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33

Glass, J. T., J. F. McCann et D. S. F. Crothers. « Electron capture at semirelativistic energies : distorted wave models ». Journal of Physics B : Atomic, Molecular and Optical Physics 25, no 21 (14 novembre 1992) : L541—L544. http://dx.doi.org/10.1088/0953-4075/25/21/004.

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34

BHAGHYESH et K. B. VIJAYA KUMAR. « CHARMONIUM SPECTRA AND DECAYS IN A SEMIRELATIVISTIC MODEL ». International Journal of Modern Physics A 27, no 22 (30 août 2012) : 1250127. http://dx.doi.org/10.1142/s0217751x12501278.

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We investigate the spectra and decays of charmonium [Formula: see text] system in a semirelativistic potential model. The Hamiltonian of our model consists of a relativistic kinetic energy term, a vector Coulomb-like potential and a scalar confining potential. From this Hamiltonian a spinless wave equation is obtained. The wave equation is then reduced to the form of a single particle Schrödinger equation. The spin dependent potentials are introduced as a perturbation. The three-dimensional harmonic oscillator wave function is employed as a trial wave function and the [Formula: see text] mass spectra is obtained by the variational method. The model parameters and the wave function that reproduce the mass spectra of the [Formula: see text] mesons are then used to investigate some of the decay properties. The results obtained are then compared with the experimental data and with the predictions of other theoretical models. We also propose possible [Formula: see text] assignments for the recently observed charmonium or charmonium-like states.
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35

Childers, R. W. « Erratum : Two-body Dirac equation for semirelativistic quarks ». Physical Review D 32, no 12 (15 décembre 1985) : 3337. http://dx.doi.org/10.1103/physrevd.32.3337.

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36

Plessas, W., S. Boffi, L. Ya Glozman, W. Klink, M. Radici et R. F. Wagenbrunn. « Nucleon properties in a semirelativistic chiral quark model ». Nuclear Physics A 699, no 1-2 (février 2002) : 312–15. http://dx.doi.org/10.1016/s0375-9474(01)01509-3.

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37

Maksimenko, N. V., et S. M. Kuchin. « Electric polarizability of pions in semirelativistic quark model ». Physics of Particles and Nuclei Letters 9, no 2 (mars 2012) : 134–38. http://dx.doi.org/10.1134/s1547477112020112.

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Lucha, Wolfgang, et Franz F. Schöberl. « Electric polarizability of mesons in semirelativistic quark models ». Physics Letters B 544, no 3-4 (septembre 2002) : 380–88. http://dx.doi.org/10.1016/s0370-2693(02)02513-3.

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HALL, RICHARD L., WOLFGANG LUCHA et FRANZ F. SCHÖBERL. « DISCRETE SPECTRA OF SEMIRELATIVISTIC HAMILTONIANS FROM ENVELOPE THEORY ». International Journal of Modern Physics A 17, no 14 (10 juin 2002) : 1931–51. http://dx.doi.org/10.1142/s0217751x02010522.

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We analyze the (discrete) spectrum of the semirelativistic "spinless-Salpeter" Hamiltonian [Formula: see text] where V(r) is an attractive, spherically symmetric potential in three dimensions. In order to locate the eigenvalues of H, we extend the "envelope theory", originally formulated only for nonrelativistic Schrödinger operators, to the case of Hamiltonians involving the relativistic kinetic-energy operator. If V(r) is a convex transformation of the Coulomb potential -1/r and a concave transformation of the harmonic-oscillator potential r2, both upper and lower bounds on the discrete eigenvalues of H can be constructed, which may all be expressed in the form [Formula: see text] for suitable values of the numbers P here provided. At the critical point, the relative growth to the Coulomb potential h(r)=-1/r must be bounded by d V/ d h < 2β/π.
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40

Morishita, J., M. Kawaguchi et T. Morii. « Spectroscopy of atomlike mesonsQq¯in a semirelativistic theory ». Physical Review D 37, no 1 (1 janvier 1988) : 159–78. http://dx.doi.org/10.1103/physrevd.37.159.

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41

Stolzmann, W., et T. Blöcker. « A Semirelativistic Equation of State for Stellar Interiors ». Contributions to Plasma Physics 39, no 1-2 (1999) : 105–8. http://dx.doi.org/10.1002/ctpp.2150390126.

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42

Meng, Xing, Gábor Tóth, Igor V. Sokolov et Tamas I. Gombosi. « Classical and semirelativistic magnetohydrodynamics with anisotropic ion pressure ». Journal of Computational Physics 231, no 9 (mai 2012) : 3610–22. http://dx.doi.org/10.1016/j.jcp.2011.12.042.

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43

Lucha, Wolfgang. « Bethe–Salpeter Bound-State Solutions : Examining Semirelativistic Approaches ». EPJ Web of Conferences 274 (2022) : 04008. http://dx.doi.org/10.1051/epjconf/202227404008.

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Within the formalism of relativistic quantum field theory an adequate framework for the description of two-particle bound states, such as, for instance, all conventional (i.e., non-exotic) mesons, is provided by the Poincaré-covariant homogeneous Bethe–Salpeter equation. In applications, however, this approach usually proves to be rather involved, whence it is not always quite easy to extract the predictions sought. In view of this, a coarse idea of the bound-state spectrum to be expected might be gained by adhering to some simplifying approximations – which constitutes an entirely legitimate first step. The reliability of the insights inferred from the arising simpler bound-state equation may be straightforwardly examined by taking into account a couple of rigorous constraints on the obtained discrete spectrum. Application of these tools is illustrated for popular potentials.
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44

Lucha, Wolfgang, et Franz F. Schöberl. « The spinless relativistic Yukawa problem ». International Journal of Modern Physics A 29, no 31 (20 décembre 2014) : 1450195. http://dx.doi.org/10.1142/s0217751x14501954.

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Noticing renewed or increasing interest in the possibility to describe semirelativistic bound states (of either spin-zero constituents or, upon confining oneself to spin-averaged features, constituents with nonzero spin) by means of the spinless Salpeter equation generalizing the Schrödinger equation toward incorporation of effects caused by relativistic kinematics, we revisit this problem for interactions between bound-state constituents of Yukawa shape, by recalling and applying several well-known tools enabling to constrain the resulting spectra.
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45

Willes, A. J., et P. A. Robinson. « Electron-Cyclotron maser emission from streaming distributions ». Journal of Plasma Physics 51, no 1 (février 1994) : 75–93. http://dx.doi.org/10.1017/s0022377800017402.

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Motivated by the need to explain observed elliptically polarized emission from Jupiter, the mechanism of electron-cyclotron maser emission is considered for drifting electron distributions, where the electrons stream with a non-zero mean velocity parallel to the magnetic field lines. An analytical expression for the semirelativistic growth rate is derived and its properties analysed in detail for waves generated in the magneto-ionic modes. The main features of the growth rate are discussed, on the basis of a geometric analysis using resonant ellipses.
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46

Bieganowski, Bartosz, et Simone Secchi. « The semirelativistic Choquard equation with a local nonlinear term ». Discrete & ; Continuous Dynamical Systems - A 39, no 7 (2019) : 4279–302. http://dx.doi.org/10.3934/dcds.2019173.

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47

Ceuleneer, R., et C. Semay. « Semirelativistic resonating group method calculations of pion-pion scattering ». Physical Review C 59, no 2 (1 février 1999) : 1081–89. http://dx.doi.org/10.1103/physrevc.59.1081.

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48

Fulcher, Lewis P. « Structure of light meson multiplets and a semirelativistic model ». Physical Review D 34, no 9 (1 novembre 1986) : 2857–66. http://dx.doi.org/10.1103/physrevd.34.2857.

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49

Sartor, R., et Fl Stancu. « Strong decay of hadrons in a semirelativistic quark model ». Physical Review D 34, no 11 (1 décembre 1986) : 3405–13. http://dx.doi.org/10.1103/physrevd.34.3405.

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50

BARAKAT, T. « THE SEMIRELATIVISTIC EQUATION VIA THE SHIFTED-l EXPANSION TECHNIQUE ». International Journal of Modern Physics A 16, no 12 (10 mai 2001) : 2195–204. http://dx.doi.org/10.1142/s0217751x01003688.

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Résumé :
The semirelativistic wave equation which appears in the theory of relativistic quark–antiquark bound states, is cast into a constituent second order Schrödinger-like equation with the inclusion of relativistic corrections up to order (v/c)2 in the quarks speeds. The resulting equation is solved via the Shifted-l expansion technique (SLET), which has been recently developed to get eigenvalues and wave functions of relativistic and nonrelativistic wave equations. The Coulomb, Oscillator, and the Coulomb-plus-linear potentials used in [Formula: see text] phenomenology are tested. It is observed that, the energy eigenvalues can be explained well upon the more commonly used nonrelativistic models, when such a dynamical relativistic corrections are introduced. In particular, it provides a remarkable accurate and simple analytic expression for the Coulomb ground-state energy problem, a result which is in the right direction at least to serve as a test of this approach.
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