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Journal articles on the topic 'BOUND STATE'

Author: Grafiati

Published: 4 June 2021

Last updated: 26 July 2025

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1

Ng, Timothy, David Rappaport, and Kai Salomaa. "State Complexity of Suffix Distance." International Journal of Foundations of Computer Science 30, no. 06n07 (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 neighbourh

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2

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 (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 ampli

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3

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

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4

SOLDATOV, A. V. "CONTINUOUS UPPER BOUND ON THE GROUND-STATE ENERGY OF THE FRÖHLICH POLARON." Modern Physics Letters B 08, no. 08n09 (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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5

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

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6

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

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7

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

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8

Park, Jiyong. "Estimating Non-Gaussianity of a Quantum State by Measuring Orthogonal Quadratures." Entropy 24, no. 2 (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 me

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9

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 (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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10

Hashimoto, Kazunari, and Chikako Uchiyama. "Effect of Quantum Coherence on Landauer’s Principle." Entropy 24, no. 4 (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-di

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11

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 (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 a

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12

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 (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-decompo

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13

FANNES, M. "MULTI-STATE CORRELATIONS AND FIDELITIES." International Journal of Geometric Methods in Modern Physics 09, no. 02 (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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14

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 logarith

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15

Harrow, Aram W., and Ashley Montanaro. "Extremal eigenvalues of local Hamiltonians." Quantum 1 (April 25, 2017): 6. http://dx.doi.org/10.22331/q-2017-04-25-6.

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We apply classical algorithms for approximately solving constraint satisfaction problems to find bounds on extremal eigenvalues of local Hamiltonians. We consider spin Hamiltonians for which we have an upper bound on the number of terms in which each spin participates, and find extensive bounds for the operator norm and ground-state energy of such Hamiltonians under this constraint. In each case the bound is achieved by a product state which can be found efficiently using a classical algorithm.

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16

Kuo, T. K., and Taekoon Lee. "Rapidity Gap of Weakly Coupled Leptoquark Production in ep Collider." Modern Physics Letters A 12, no. 31 (1997): 2367–71. http://dx.doi.org/10.1142/s0217732397002454.

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We show that the current bounds on the leptoquark couplings imply that if leptoquarks are produced in ep collisions, a significant fraction of them could form a leptoquark–quark bound state. The decay of the bound state has a distinct event shape with rapidity gap. A possible application of this observation in the leptoquark search at HERA is discussed.

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17

Jarner, Søren F., and Wai Kong Yuen. "Conductance bounds on the L 2 convergence rate of Metropolis algorithms on unbounded state spaces." Advances in Applied Probability 36, no. 01 (2004): 243–66. http://dx.doi.org/10.1017/s0001867800012957.

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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-decompo

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18

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

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19

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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20

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

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21

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

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22

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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23

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

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24

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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25

DESFRANÇOIS, CHARLES, HASSAN ABDOUL-CARIME, and JEAN-PIERRE SCHERMANN. "GROUND-STATE DIPOLE-BOUND ANIONS." International Journal of Modern Physics B 10, no. 12 (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 contr

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26

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

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27

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

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28

Huber, Markus Q., Christian S. Fischer, and Hèlios Sanchis-Alepuz. "Glueballs from bound state equations." EPJ Web of Conferences 274 (2022): 03016. http://dx.doi.org/10.1051/epjconf/202227403016.

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Glueballs are bound states in the spectrum of quantum chromodynamics which consist only of gluons. They belong to the group of exotic hadrons which are widely studied experimentally and theoretically. We summarize how to calculate glueballs in a functional framework and discuss results for pure Yang-Mills theory. Our setup is totally self-contained with the scale being the only external input. We enumerate a range of tests that provide evidence of the stability of the results. This illustrates the potential of functional equations as a continuum first-principles method complementary to lattice

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29

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

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30

Stout, Brian, Isam Ben Soltane, and Nicolas Bonod. "Resonant State Spectral expansions including bound-state contributions." EPJ Web of Conferences 287 (2023): 04023. http://dx.doi.org/10.1051/epjconf/202328704023.

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Extensions of the Resonant State or (Quasi-normal mode) formalism are shown to permit unified descriptions of the true ’bound’ states within the framework of the ’leaky’ mode formulation of basis sets. We review recent progress in the famed ’normalization/regularization’ problems of the QNMs modes as well as the necessity of including ’background’ contributions whose expressions can be determined through response function sum-rules.

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31

Soldatova, Natalia S., Pavel S. Postnikov, Vitalii V. Suslonov та ін. "Diaryliodonium as a double σ-hole donor: the dichotomy of thiocyanate halogen bonding provides divergent solid state arylation by diaryliodonium cations". Organic Chemistry Frontiers 7, № 16 (2020): 2230–42. http://dx.doi.org/10.1039/d0qo00678e.

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The reactivity of [Ar<sup>1</sup>Ar<sup>2</sup>I](SCN) toward the solid-state arylation depends on the preorganization of halogen bond (XB)-bound SCN<sup>−</sup>: N-XB-bound thiocyanates, which, in contrast to N,S-XB-bound, undergoes the extremely rare N-arylation of SCN<sup>−</sup>.

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32

Dikshtein, Michael, Ruchen Duan, Yingbin Liang, and Shlomo Shamai (Shitz). "MIMO Gaussian State-Dependent Channels with a State-Cognitive Helper." Entropy 21, no. 3 (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 a

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33

K.M, Kavya, Dr Upendra N., Shuchika D. Biligere, and Krishnaveni S. "Investigation of Phe-tRNA interaction with EF-Tu in GDP/GTP nucleotide bound states: a molecular dynamics simulation study." Brazilian Journal of Development 10, no. 3 (2024): e68332. http://dx.doi.org/10.34117/bjdv10n3-060.

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Elongation factor Tu (EF-Tu) is an important class of translational GTPases (trGTPases) involved in the elongation process. EF-Tu functions by forming the tight complex with the aminoacyl-tRNA (aa-tRNA: transfer RNA carrying an amino acid) in the GTP-bound active state and subsequently transports the aa-tRNA to the A-site (aminoacyl-site) of the ribosome. The correct interaction between mRNA's codon and aa-tRNA anticodon triggers GTP hydrolysis, resulting in the transition of EF-Tu from the active state to the inactive state (EF-Tu bound to GDP). This, in turn, results in the dissociation of E

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34

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 (2011): 113704. http://dx.doi.org/10.1143/jpsj.80.113704.

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35

JIRÁSEK, JOZEF, GALINA JIRÁSKOVÁ, and ALEXANDER SZABARI. "STATE COMPLEXITY OF CONCATENATION AND COMPLEMENTATION." International Journal of Foundations of Computer Science 16, no. 03 (2005): 511–29. http://dx.doi.org/10.1142/s0129054105003133.

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We investigate the state complexity of concatenation and the nondeterministic state complexity of complementation of regular languages. We show that the upper bounds on the state complexity of concatenation are also tight in the case that the first automaton has more than one accepting state. In the case of nondeterministic state complexity of complementation, we show that the entire range of complexities, up to the known upper bound can be produced.

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36

THAYYULLATHIL, RAMESH BABU. "COVARIANT TWO-BODY BOUND STATE EQUATION." Modern Physics Letters A 06, no. 13 (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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37

Dijk, Nico M. Van. "An Error-Bound Theorem for Approximate Markov Chains." Probability in the Engineering and Informational Sciences 6, no. 3 (1992): 413–24. http://dx.doi.org/10.1017/s026996480000262x.

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Recently an error-bound theorem was reported to conclude analytic error bounds for approximate Markov chains. The theorem required a uniform bound for marginal expectations of the approximate model. This note will relax this bound to steady state rather than marginal expectations as of practical interest(i) to simplify verification and/or(ii) to obtain a more accurate error bound.A communication model is studied in detail to support the results.

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38

Masoumi, Ali. "State of matter at high density and entropy bounds." International Journal of Modern Physics D 24, no. 12 (2015): 1544016. http://dx.doi.org/10.1142/s0218271815440162.

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Entropy of all systems that we understand well is proportional to their volumes except for black holes given by their horizon area. This makes the microstates of any quantum theory of gravity drastically different from the ordinary matter. Because of the assumption that black holes are the maximum entropy states, there have been many conjectures that put the area, defined one way or another, as a bound on the entropy in a given region of spacetime. Here, we construct a simple model with entropy proportional to volume which exceeds the entropy of a single black hole. We show that a homogeneous

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39

Park, HaJeung, Jacqueline L. Hilsenbeck, Hak Jun Kim, et al. "Structural studies of Streptococcus pneumoniae EPSP synthase in unliganded state, tetrahedral intermediate-bound state and S3P-GLP-bound state." Molecular Microbiology 51, no. 4 (2003): 963–71. http://dx.doi.org/10.1046/j.1365-2958.2003.03885.x.

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40

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

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41

Goyal, Keshav, and Han Mao Kiah. "Evaluating the Gilbert–Varshamov Bound for Constrained Systems." Entropy 26, no. 4 (2024): 346. http://dx.doi.org/10.3390/e26040346.

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We revisit the well-known Gilbert–Varshamov (GV) bound for constrained systems. In 1991, Kolesnik and Krachkovsky showed that the GV bound can be determined via the solution of an optimization problem. Later, in 1992, Marcus and Roth modified the optimization problem and improved the GV bound in many instances. In this work, we provide explicit numerical procedures to solve these two optimization problems and, hence, compute the bounds. We then show that the procedures can be further simplified when we plot the respective curves. In the case where the graph presentation comprises a single stat

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42

Alem, Mamaru Bitew, and Yilkal Bezie Ayele. "Modeling the Transition State Structures of the Reductive-Half Reaction Active Site of Xanthine Oxidase Bound to Guanine Analogues: A Density Functional Theory Approach." International Journal of Chemistry 10, no. 1 (2018): 137. http://dx.doi.org/10.5539/ijc.v10n1p137.

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Modeling and characterization the transition state structure of enzyme catalyzed reactions is essential. A DFT method employing B3LYP level of theory with 6-31G (d',p') basis set for non-metals and LanL2DZ basis set for molybdenum have been used. The bond orders of chemical fragments were calculated using AOmix softaware. The effect of chalcogen replacement, amine group and methyl group in the parent structure of xanthine bound to xanthine oxidase active site were compared. The transition state structure of model substrates (2AX, 2A6TP, 2A6SP and 2A6MP) bound to the truncated form of XO active

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43

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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44

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

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45

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 (1995): L405—L411. http://dx.doi.org/10.1088/0953-4075/28/13/001.

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46

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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47

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

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48

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

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49

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

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50

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

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