Journal articles: 'BOUND STATE'

1

Miyazawa, H., and K. Tanaka. "Relativistic Bound-State Problem." Progress of Theoretical Physics 87, no. 6 (June 1, 1992): 1457–66. http://dx.doi.org/10.1143/ptp/87.6.1457.

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2

Inoue, J., and K. Ohtaka. "Photon virtual bound state." Journal of Luminescence 108, no. 1-4 (June 2004): 251–54. http://dx.doi.org/10.1016/j.jlumin.2004.01.053.

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3

Filikhin, I., and B. Vlahovic. "Lower Bound for ppK– Quasi-Bound State Energy." Physics of Particles and Nuclei 51, no. 5 (September 2020): 979–87. http://dx.doi.org/10.1134/s1063779620050032.

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4

Ashbaugh, Mark S., and Pavel Exner. "Lower bounds to bound state energies in bent tubes." Physics Letters A 150, no. 3-4 (November 1990): 183–86. http://dx.doi.org/10.1016/0375-9601(90)90118-8.

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5

Ng, Timothy, David Rappaport, and Kai Salomaa. "State Complexity of Suffix Distance." International Journal of Foundations of Computer Science 30, no. 06n07 (September 2019): 1197–216. http://dx.doi.org/10.1142/s0129054119400355.

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The neighbourhood of a regular language with respect to the prefix, suffix and subword distance is always regular and a tight bound for the state complexity of prefix distance neighbourhoods is known. We give upper bounds for the state complexity of the neighbourhood of radius [Formula: see text] of an [Formula: see text]-state deterministic finite automaton language with respect to the suffix distance and the subword distance, respectively. For restricted values of [Formula: see text] and [Formula: see text] we give a matching lower bound for the state complexity of suffix distance neighbourhoods.

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6

Chuang, C. H., D. N. Wu, and Q. Wang. "LQR for State-Bounded Structural Control." Journal of Dynamic Systems, Measurement, and Control 118, no. 1 (March 1, 1996): 113–19. http://dx.doi.org/10.1115/1.2801130.

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In order to prevent structural damages, it is more important to bound the vibration amplitude than to reduce the vibration energy. However, in the performance index for linear quadratic regulator (LQR), the instantaneous amplitude of vibration is not minimized. An ordinary LQR may have an unacceptable amplitude at some time instant but still have a good performance. In this paper, we have developed an LQR with adjustable gains to guarantee bounds on the vibration amplitude. For scalar systems, the weighting for control is switched between two values which give a low-gain control when the amplitude is inside the bound and a high-gain control when the amplitude is going to violate the given bound. For multivariable systems, by assuming a matching condition, a similar controller structure has been obtained. This controller is favored for application since the main structure of a common LQR is not changed; the additional high-gain control is required only if the vibration amplitude fails to stay inside the bound. We have applied this controller to a five-story building with active tendon controllers. The results show that the largest oscillation at the first story stays within a given bound when the building is subject to earthquake excitation.

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7

SOLDATOV, A. V. "CONTINUOUS UPPER BOUND ON THE GROUND-STATE ENERGY OF THE FRÖHLICH POLARON." Modern Physics Letters B 08, no. 08n09 (April 20, 1994): 553–60. http://dx.doi.org/10.1142/s0217984994000595.

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The upper bound on the ground-state energy for the Fröhlich polaron is derived by means of a new version of variational principle based on the Wick symbols formalism and the coherent states theory. The bound is continuous in some respect, i.e. it is valid for all values of coupling parameter including the intermediate regions. Asymptotic behavior of the bound for the weak coupling limit and for the strong coupling limit provides, in general, lower values than well-known existing bounds. The bound can be readily generalized for the case of nonzero magnetic field.

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8

Crater, H. C., and C. Y. Wong. "Possible New Positronium Bound State." Journal of Physics: Conference Series 548 (November 24, 2014): 012004. http://dx.doi.org/10.1088/1742-6596/548/1/012004.

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9

Shevchenko, N. V., J. Mareš, and A. Gal. "Search for a bound state." Nuclear Physics A 790, no. 1-4 (June 2007): 659c—662c. http://dx.doi.org/10.1016/j.nuclphysa.2007.03.112.

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10

Babič, A., D. Štefánik, M. I. Krivoruchenko, and F. Šimkovic. "Bound-state double-beta decay." Journal of Physics: Conference Series 1056 (July 2018): 012002. http://dx.doi.org/10.1088/1742-6596/1056/1/012002.

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11

Meguro, Wakafumi, Yan-Rui Liu, and Makoto Oka. "Possible ΛcΛc molecular bound state." Physics Letters B 704, no. 5 (October 2011): 547–50. http://dx.doi.org/10.1016/j.physletb.2011.09.088.

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12

Yamazaki, Toshimitsu. "Hadron-nucleus bound-state spectroscopy." Nuclear Physics A 721 (June 2003): C50—C57. http://dx.doi.org/10.1016/s0375-9474(03)01016-9.

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13

Adkins, Gregory S., and Richard N. Fell. "Bound-state formalism for positronium." Physical Review A 60, no. 6 (December 1, 1999): 4461–75. http://dx.doi.org/10.1103/physreva.60.4461.

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14

Mota, R. D., A. Valcarce, F. Fernández, and H. Garcilazo. "Bound-state problem of theNΔandNΔΔsystems." Physical Review C 59, no. 1 (January 1, 1999): 46–52. http://dx.doi.org/10.1103/physrevc.59.46.

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15

Knudson, S. K., J. B. Delos, and D. W. Noid. "Bound state semiclassical wave functions." Journal of Chemical Physics 84, no. 12 (June 15, 1986): 6886–94. http://dx.doi.org/10.1063/1.450693.

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16

DESFRANÇOIS, CHARLES, HASSAN ABDOUL-CARIME, and JEAN-PIERRE SCHERMANN. "GROUND-STATE DIPOLE-BOUND ANIONS." International Journal of Modern Physics B 10, no. 12 (May 30, 1996): 1339–95. http://dx.doi.org/10.1142/s0217979296000520.

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Ground-state dipole-bound anions are fragile molecular species which excess electrons are almost entirely located in a very diffuse orbital outside the molecular frame. They can be created by attachment of very low energy electrons to polar molecules or small clusters which dipole moments are larger than a practical critical value of 2.5 D. They present analogies with Rydberg atoms and their geometrical structures are nearly identical to those of their neutral parents. Experimentally, dipole-binding of electrons to polar systems is a non-perturbative and reversible ionization process, in contrast with conventional valence-binding. Examples of applications such as mass-spectrometric isomer selection of clusters or determination of electron attachment properties of isolated nucleic acid bases are given.

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17

Staronski, R., and S. Wycech. "The puzzle ofKα bound state." Czechoslovak Journal of Physics 36, no. 8 (August 1986): 903–6. http://dx.doi.org/10.1007/bf01797496.

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18

Park, Jiyong. "Estimating Non-Gaussianity of a Quantum State by Measuring Orthogonal Quadratures." Entropy 24, no. 2 (February 18, 2022): 289. http://dx.doi.org/10.3390/e24020289.

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We derive the lower bounds for a non-Gaussianity measure based on quantum relative entropy (QRE). Our approach draws on the observation that the QRE-based non-Gaussianity measure of a single-mode quantum state is lower bounded by a function of the negentropies for quadrature distributions with maximum and minimum variances. We demonstrate that the lower bound can outperform the previously proposed bound by the negentropy of a quadrature distribution. Furthermore, we extend our method to establish lower bounds for the QRE-based non-Gaussianity measure of a multimode quantum state that can be measured by homodyne detection, with or without leveraging a Gaussian unitary operation. Finally, we explore how our lower bound finds application in non-Gaussian entanglement detection.

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19

Ma, Li, Qian Wang, and Ulf-G. Meißner. "Double heavy tri-hadron bound state via delocalized π bond." Chinese Physics C 43, no. 1 (January 2019): 014102. http://dx.doi.org/10.1088/1674-1137/43/1/014102.

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20

Imura, Keiichiro, Shinkichi Kanematsu, Kazuyuki Matsubayashi, Hiroyuki S. Suzuki, Kazuhiko Deguchi, and Noriaki K. Sato. "Discontinuous Transition from a Real Bound State to Virtual Bound State in a Mixed-Valence State of SmS." Journal of the Physical Society of Japan 80, no. 11 (November 15, 2011): 113704. http://dx.doi.org/10.1143/jpsj.80.113704.

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21

FANNES, M. "MULTI-STATE CORRELATIONS AND FIDELITIES." International Journal of Geometric Methods in Modern Physics 09, no. 02 (March 2012): 1260021. http://dx.doi.org/10.1142/s0219887812600213.

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Correlations between states in a general quantum ensemble can be encoded in a Gram matrix that depends on a prescribed joint purification. This allows to establish an upper bound for the Holevo quantity χ. Optimizing over joint purifications is a hard problem. For small ensembles the connection with matrices of fidelities is investigated. General bounds are obtained for a linearized version of χ.

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22

Lin, Lin, and Yu Tong. "Near-optimal ground state preparation." Quantum 4 (December 14, 2020): 372. http://dx.doi.org/10.22331/q-2020-12-14-372.

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Preparing the ground state of a given Hamiltonian and estimating its ground energy are important but computationally hard tasks. However, given some additional information, these problems can be solved efficiently on a quantum computer. We assume that an initial state with non-trivial overlap with the ground state can be efficiently prepared, and the spectral gap between the ground energy and the first excited energy is bounded from below. With these assumptions we design an algorithm that prepares the ground state when an upper bound of the ground energy is known, whose runtime has a logarithmic dependence on the inverse error. When such an upper bound is not known, we propose a hybrid quantum-classical algorithm to estimate the ground energy, where the dependence of the number of queries to the initial state on the desired precision is exponentially improved compared to the current state-of-the-art algorithm proposed in [Ge et al. 2019]. These two algorithms can then be combined to prepare a ground state without knowing an upper bound of the ground energy. We also prove that our algorithms reach the complexity lower bounds by applying it to the unstructured search problem and the quantum approximate counting problem.

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23

Gögtas, Fahrettin, A. Kadir Yildiz, and Gabriel G. Balint-Kurti. "The Filterization Method to Calculate Eigenstates." International Journal of Modern Physics B 11, no. 03 (January 30, 1997): 295–302. http://dx.doi.org/10.1142/s0217979297000320.

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We have proposed a new method to calculate low lying eigenstates of Hamiltonian operator for triatomic molecules. The method is a grid method based on continuously pumping flux onto the potential energy surface and gives the wave function overlapping with prechosen energy of interest. This energy may correspond to a bound state, a resonance or a continuum state. We have calculated several low lying bound state energies and corresponding bound state wave functions for HOCl with HO bond fixed at its equilibrium value.

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24

Hashimoto, Kazunari, and Chikako Uchiyama. "Effect of Quantum Coherence on Landauer’s Principle." Entropy 24, no. 4 (April 13, 2022): 548. http://dx.doi.org/10.3390/e24040548.

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Landauer’s principle provides a fundamental lower bound for energy dissipation occurring with information erasure in the quantum regime. While most studies have related the entropy reduction incorporated with the erasure to the lower bound (entropic bound), recent efforts have also provided another lower bound associated with the thermal fluctuation of the dissipated energy (thermodynamic bound). The coexistence of the two bounds has stimulated comparative studies of their properties; however, these studies were performed for systems where the time-evolution of diagonal (population) and off-diagonal (coherence) elements of the density matrix are decoupled. In this paper, we aimed to broaden the comparative study to include the influence of quantum coherence induced by the tilted system–reservoir interaction direction. By examining their dependence on the initial state of the information-bearing system, we find that the following properties of the bounds are generically held regardless of whether the influence of the coherence is present or not: the entropic bound serves as the tighter bound for a sufficiently mixed initial state, while the thermodynamic bound is tighter when the purity of the initial state is sufficiently high. The exception is the case where the system dynamics involve only phase relaxation; in this case, the two bounds coincide when the initial coherence is zero; otherwise, the thermodynamic bound serves the tighter bound. We also find the quantum information erasure inevitably accompanies constant energy dissipation caused by the creation of system–reservoir correlation, which may cause an additional source of energetic cost for the erasure.

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25

Eom, Hae-Sung, Yo-Sub Han, and Kai Salomaa. "State Complexity of k-Union and k-Intersection for Prefix-Free Regular Languages." International Journal of Foundations of Computer Science 26, no. 02 (February 2015): 211–27. http://dx.doi.org/10.1142/s0129054115500124.

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We investigate the state complexity of multiple unions and of multiple intersections for prefix-free regular languages. Prefix-free deterministic finite automata have their own unique structural properties that are crucial for obtaining state complexity upper bounds that are improved from those for general regular languages. We present a tight lower bound construction for k-union using an alphabet of size k + 1 and for k-intersection using a binary alphabet. We prove that the state complexity upper bound for k-union cannot be reached by languages over an alphabet with less than k symbols. We also give a lower bound construction for k-union using a binary alphabet that is within a constant factor of the upper bound.

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26

Park, HaJeung, Jacqueline L. Hilsenbeck, Hak Jun Kim, Wendy A. Shuttleworth, Yong Ho Park, Jeremy N. Evans, and ChulHee Kang. "Structural studies of Streptococcus pneumoniae EPSP synthase in unliganded state, tetrahedral intermediate-bound state and S3P-GLP-bound state." Molecular Microbiology 51, no. 4 (December 22, 2003): 963–71. http://dx.doi.org/10.1046/j.1365-2958.2003.03885.x.

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27

Jarner, Søren F., and Wai Kong Yuen. "Conductance bounds on the L2 convergence rate of Metropolis algorithms on unbounded state spaces." Advances in Applied Probability 36, no. 1 (March 2004): 243–66. http://dx.doi.org/10.1239/aap/1077134472.

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In this paper we derive bounds on the conductance and hence on the spectral gap of a Metropolis algorithm with a monotone, log-concave target density on an interval of ℝ. We show that the minimal conductance set has measure ½ and we use this characterization to bound the conductance in terms of the conductance of the algorithm restricted to a smaller domain. Whereas previous work on conductance has resulted in good bounds for Markov chains on bounded domains, this is the first conductance bound applicable to unbounded domains. We then show how this result can be combined with the state-decomposition theorem of Madras and Randall (2002) to bound the spectral gap of Metropolis algorithms with target distributions with monotone, log-concave tails on ℝ.

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28

Garcilazo, H., A. Valcarce, and J. Vijande. "${ \Xi^- t} $ quasibound state instead of ΛΛnn bound state." Chinese Physics C 44, no. 2 (January 28, 2020): 024102. http://dx.doi.org/10.1088/1674-1137/44/2/024102.

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29

Dikshtein, Michael, Ruchen Duan, Yingbin Liang, and Shlomo Shamai (Shitz). "MIMO Gaussian State-Dependent Channels with a State-Cognitive Helper." Entropy 21, no. 3 (March 12, 2019): 273. http://dx.doi.org/10.3390/e21030273.

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We consider the problem of channel coding over multiterminal state-dependent channels in which neither transmitters nor receivers but only a helper node has a non-causal knowledge of the state. Such channel models arise in many emerging communication schemes. We start by investigating the parallel state-dependent channel with the same but differently scaled state corrupting the receivers. A cognitive helper knows the state in a non-causal manner and wishes to mitigate the interference that impacts the transmission between two transmit–receive pairs. Outer and inner bounds are derived. In our analysis, the channel parameters are partitioned into various cases, and segments on the capacity region boundary are characterized for each case. Furthermore, we show that for a particular set of channel parameters, the capacity region is entirely characterized. In the second part of this work, we address a similar scenario, but now each channel is corrupted by an independent state. We derive an inner bound using a coding scheme that integrates single-bin Gel’fand–Pinsker coding and Marton’s coding for the broadcast channel. We also derive an outer bound and further partition the channel parameters into several cases for which parts of the capacity region boundary are characterized.

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30

Lee, Kiyoung, and Warren Siegel. "Bound-state gravity from higher derivatives." Nuclear Physics B 665 (August 2003): 179–88. http://dx.doi.org/10.1016/s0550-3213(03)00488-7.

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31

Klar, Hubert. "Exact asymptotic helium bound-state wavefunctions." Journal of Physics B: Atomic, Molecular and Optical Physics 34, no. 13 (June 25, 2001): 2725–30. http://dx.doi.org/10.1088/0953-4075/34/13/314.

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32

Harada, Masayasu, Francesco Sannino, Joseph Schechter, and Herbert Weigel. "Generalization of the bound state model." Physical Review D 56, no. 7 (October 1, 1997): 4098–114. http://dx.doi.org/10.1103/physrevd.56.4098.

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33

Streltsov, Alexander. "Quantum state merging with bound entanglement." New Journal of Physics 22, no. 2 (February 26, 2020): 023032. http://dx.doi.org/10.1088/1367-2630/ab70d7.

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34

Oo, H. H., K. S. Myint, H. Kamada, and W. Glockle. "Does - - Form a Quasi-Bound State?" Progress of Theoretical Physics 113, no. 4 (April 1, 2005): 809–20. http://dx.doi.org/10.1143/ptp.113.809.

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35

Ortega, Pablo G., and Enrique Ruiz Arriola. "Is X(3872) a bound state?" Chinese Physics C 43, no. 12 (November 22, 2019): 124107. http://dx.doi.org/10.1088/1674-1137/43/12/124107.

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36

Carlson, C. E., and J. Milana. "Bound-state effects inB→K*γ." Physical Review D 51, no. 9 (May 1, 1995): 4950–54. http://dx.doi.org/10.1103/physrevd.51.4950.

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37

Filikhin, I., V. M. Suslov, and B. Vlahovic. "Bound state of the αΛΛΞ0 system." Journal of Physics G: Nuclear and Particle Physics 35, no. 3 (January 25, 2008): 035103. http://dx.doi.org/10.1088/0954-3899/35/3/035103.

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38

Fuchs, N. H., and M. D. Scadron. "Wavefunctions for the bound-state pion." Journal of Physics G: Nuclear Physics 11, no. 3 (March 1985): 299–307. http://dx.doi.org/10.1088/0305-4616/11/3/008.

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39

Lucha, Wolfgang, and 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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40

Landau, R. H., and Beato Cheng. "Comparison ofK−p bound state calculations." Physical Review C 33, no. 2 (February 1, 1986): 734–35. http://dx.doi.org/10.1103/physrevc.33.734.

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41

Park, Byung-Yoon, Min Dong-Pil, and Mannque Rho. "Chiral hyperbag: (II). Bound-state approach." Nuclear Physics A 551, no. 4 (January 1993): 657–86. http://dx.doi.org/10.1016/0375-9474(93)90271-x.

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42

Kerenskaya, Galina, Udo Schnupf, Michael C. Heaven, and Ad van der Avoird. "Bound state spectroscopy of NH–He." Journal of Chemical Physics 121, no. 16 (2004): 7549. http://dx.doi.org/10.1063/1.1808416.

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43

Fernández, Francisco M. "Bound-state eigenvalues for polynomial potentials." Physical Review A 44, no. 5 (September 1, 1991): 3336–39. http://dx.doi.org/10.1103/physreva.44.3336.

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44

Thakur, Snigdha, and Raymond Kapral. "Self-propelled nanodimer bound state pairs." Journal of Chemical Physics 133, no. 20 (November 28, 2010): 204505. http://dx.doi.org/10.1063/1.3506859.

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45

THAYYULLATHIL, RAMESH BABU. "COVARIANT TWO-BODY BOUND STATE EQUATION." Modern Physics Letters A 06, no. 13 (April 30, 1991): 1219–24. http://dx.doi.org/10.1142/s0217732391001299.

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We present a fully covariant equation for the bound state problem in field theory. As an example the bound state equation for positronium is analyzed and compared with the one-body Dirac equation. Difficulties with the covariant bound state equation with unequal masses are pointed out.

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46

Jones, R. R., D. W. Schumacher, T. F. Gallagher, and P. H. Bucksbaum. "Bound-state interferometry using incoherent light." Journal of Physics B: Atomic, Molecular and Optical Physics 28, no. 13 (July 14, 1995): L405—L411. http://dx.doi.org/10.1088/0953-4075/28/13/001.

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47

Rodrigues, Hercules B., Daniel T. da Silva, and Dimiter Hadjimichef. "Bound State Correction in CP Violation." International Journal of Modern Physics: Conference Series 45 (January 2017): 1760073. http://dx.doi.org/10.1142/s2010194517600734.

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We study hadronic weak decays using an approach which consists in a mapping technique, the Fock-Tani formalism, in order to obtain an effective weak Hamiltonian starting from a contact microscopic interaction. An additional effect is manifest in this formalism associated to the extended nature of mesons: bound-state corrections which can be related to CP violation parameters.

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48

Garland, Gregory E., and James W. Dufty. "Bound state contributions to transport coefficients." Journal of Chemical Physics 95, no. 4 (August 15, 1991): 2702–16. http://dx.doi.org/10.1063/1.460922.

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49

Moulopoulos, K. "Bound-state transition: an analytical model." Journal of Physics: Condensed Matter 12, no. 7 (February 3, 2000): 1285–96. http://dx.doi.org/10.1088/0953-8984/12/7/312.

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50

Barger, V., and W. Y. Keung. "Technipionium bound state formation and decays." Physics Letters B 185, no. 3-4 (February 1987): 431–34. http://dx.doi.org/10.1016/0370-2693(87)91030-6.

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Journal articles on the topic 'BOUND STATE'

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