Metastable diffusions with degenerate drifts

Authors: Assal, Marouane, Bony, Jean-François, Michel, Laurent

Source: Annales de l'Institut Fourier. 75:1-33

Subject Terms: Asymptotic distributions of eigenvalues in context of PDEs, Probability (math.PR), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 01 natural sciences, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, Schrödinger operator, Schrödinger equation, Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics, FOS: Mathematics, spectral asymptotic, Witten Laplacian, 0101 mathematics, overdamped Langevin dynamics, Spectral Theory (math.SP), Mathematics - Probability, semiclassical analysis, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2202.02208
https://zbmath.org/7983030
https://doi.org/10.5802/aif.3636

Uniform Formulas for the Asymptotic Solution near the Leading Front for Maxwell’s Equations with Temporal Dispersion and Localized Initial Data: Uniform formulas for the asymptotic solution near the leading front for Maxwell's equations with temporal dispersion and localized initial data

Authors: Dobrokhotov, S. Yu., Tolchennikov, A. A.

Source: Mathematical Notes. 116:458-464

Subject Terms: Maxwell equations, Maxwell's equations, localized initial data, Electromagnetic theory (general), Asymptotic behavior of solutions to PDEs, Maslov canonical operator, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory

File Description: application/xml

Real diffusion with complex spectral gap

Authors: Jean-François Bony, Laurent Michel

Source: Journal of Spectral Theory. 14:1383-1407

Subject Terms: scattering theory, Asymptotic distributions of eigenvalues in context of PDEs, resonances, Probability (math.PR), Transition functions, generators and resolvents, FOS: Physical sciences, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, Schrödinger operator, Schrödinger equation, microlocal analysis, FOS: Mathematics, Spectrum, resolvent, Schrödinger operators, semiclassical asymptotics, Spectral Theory (math.SP), Mathematical Physics, Mathematics - Probability, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/abs/2310.04203

Frozen Gaussian sampling for scalar wave equations

Authors: Lihui Chai, Ye Feng, Zhennan Zhou

Source: ESAIM: Mathematical Modelling and Numerical Analysis. 58:1615-1649

Subject Terms: Asymptotic behavior of solutions to PDEs, frozen Gaussian approximation, Monte Carlo methods, Numerical Analysis (math.NA), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 01 natural sciences, Monte Carlo method, Error bounds for initial value and initial-boundary value problems involving PDEs, FOS: Mathematics, Wave equation, wave equation, Mathematics - Numerical Analysis, frozen Gaussian sampling, 0101 mathematics, Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems, 65C05, 65M15 (Secondary), 65M75 (Primary), 35B40, 0105 earth and related environmental sciences

File Description: application/xml

Access URL: http://arxiv.org/abs/2211.04829
https://zbmath.org/7957221
https://doi.org/10.1051/m2an/2024029

Pathological set with loss of regularity for nonlinear Schrödinger equations

Authors: Carles, Rémi, Gassot, Louise

Contributors: Carles, Rémi, Institut de Recherche Mathématique de Rennes (IRMAR), Université de Rennes (UR)-Institut National des Sciences Appliquées - Rennes (INSA Rennes), Institut National des Sciences Appliquées (INSA)-Institut National des Sciences Appliquées (INSA)-École normale supérieure - Rennes (ENS Rennes)-Université de Rennes 2 (UR2)-Centre National de la Recherche Scientifique (CNRS)-Institut Agro Rennes Angers, Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)-Institut national d'enseignement supérieur pour l'agriculture, l'alimentation et l'environnement (Institut Agro)

Source: Annales de l'Institut Henri Poincaré C, Analyse non linéaire. 42:715-753

Subject Terms: Cauchy problem, NLS equations (nonlinear Schrödinger equations), Smoothness and regularity of solutions to PDEs, Analysis of PDEs, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Euler equations, Critical exponents in context of PDEs, FOS: Mathematics, [MATH.MATH-AP]Mathematics [math]/Analysis of PDEs [math.AP], supercritical case, [MATH.MATH-AP] Mathematics [math]/Analysis of PDEs [math.AP], nonlinear Schrödinger equation, semiclassical analysis, Analysis of PDEs (math.AP)

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Access URL: http://arxiv.org/abs/2304.10958

Semi- quantum Designated Verifier Signature Scheme: Semi-quantum designated verifier signature scheme

Authors: Zhang, Ling, Zhang, Jia-Hao, Xin, Xiang-Jun, Huang, Min, Li, Chao-Yang

Source: International Journal of Theoretical Physics. 62

Subject Terms: designated verifier signature, semi-quantum, Computer security, Quantum measurement theory, state operations, state preparations, security, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Signatures and data streams, Authentication, digital signatures and secret sharing

File Description: application/xml

Access URL: https://zbmath.org/7798702
https://doi.org/10.1007/s10773-023-05509-3

Applications of Resonance Theory Without Analyticity Assumption: Applications of resonance theory without analyticity assumption

Authors: Jean-François Bony, Laurent Michel, Thierry Ramond

Source: Annales Henri Poincaré. 22:3641-3697

Subject Terms: 35B34, 35P25, 81Q20, 35J10, 35S05, 47A10, Pseudodifferential operators as generalizations of partial differential operators, FOS: Physical sciences, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 01 natural sciences, non-analytic potentials, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, Schrödinger operator, Schrödinger equation, 0103 physical sciences, Scattering theory for PDEs, FOS: Mathematics, Resonance in context of PDEs, Spectrum, resolvent, 0101 mathematics, Spectral Theory (math.SP), Mathematical Physics, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: http://arxiv.org/pdf/1912.02091
http://arxiv.org/abs/1912.02091
https://zbmath.org/7432936
https://doi.org/10.1007/s00023-021-01065-w
http://ui.adsabs.harvard.edu/abs/2019arXiv191202091B/abstract
https://www.arxiv-vanity.com/papers/1912.02091/
https://link.springer.com/article/10.1007/s00023-021-01065-w

Sharp spectral asymptotics for nonreversible metastable diffusion processes

Authors: Laurent Michel, Dorian Le Peutrec

Source: Probability and Mathematical Physics. 1:3-53

Subject Terms: FOS: Physical sciences, Estimates of eigenvalues in context of PDEs, spectral theory, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 01 natural sciences, Nonselfadjoint operator theory in quantum theory including creation and destruction operators, metastability, Mathematics - Spectral Theory, Mathematics - Analysis of PDEs, nonreversible overdamped Langevin dynamics, FOS: Mathematics, Eyring-Kramers formulas, 0101 mathematics, Diffusion processes, Spectral Theory (math.SP), Mathematical Physics, PDEs in connection with statistical mechanics, semiclassical analysis, Analysis of PDEs (math.AP)

File Description: application/xml

Access URL: https://msp.org/pmp/2020/1-1/pmp-v1-n1-p02-s.pdf
http://arxiv.org/abs/1907.09166
http://export.arxiv.org/pdf/1907.09166
https://ui.adsabs.harvard.edu/abs/2019arXiv190709166L/abstract
https://arxiv.org/pdf/1907.09166
https://arxiv.org/abs/1907.09166
https://hal.archives-ouvertes.fr/hal-02189630/document
https://msp.org/pmp/2020/1-1/pmp-v1-n1-p02-s.pdf
https://msp.org/pmp/2020/1-1/p02.xhtml
https://hal.archives-ouvertes.fr/hal-02189630

The Classical Limit as an Approximation: The classical limit as an approximation

Authors: Benjamin H. Feintzeig

Source: Philosophy of Science. 87:612-639

Subject Terms: 0103 physical sciences, General and philosophical questions in quantum theory, 06 humanities and the arts, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 0603 philosophy, ethics and religion, 01 natural sciences

File Description: application/xml

Access URL: http://philsci-archive.pitt.edu/16359/7/Feintzeig_Classicallimitapprox.pdf
https://zbmath.org/8019022
https://doi.org/10.1086/709731
https://www.journals.uchicago.edu/doi/full/10.1086/709731
http://philsci-archive.pitt.edu/16359/
https://philpapers.org/rec/FEITCL-2

A Decoherence-Based Approach to the Classical Limit in Bohm’s Theory: A decoherence-based approach to the classical limit in Bohm's theory

Authors: Romano Davide

Source: Foundations of Physics. 53

Subject Terms: Quantum Physics, Quantum state spaces, operational and probabilistic concepts, Open systems, reduced dynamics, master equations, decoherence, Physics - History and Philosophy of Physics, FOS: Physical sciences, Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Bohm's theory, decoherence theory, History and Philosophy of Physics (physics.hist-ph), Coherent states, Differential geometric methods, including holonomy, Berry and Hannay phases, Aharonov-Bohm effect, etc. in quantum theory, Quantum Physics (quant-ph), Classical limit, decoherence theory, Bohm's theory, classical limit

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/abs/2304.03423

The groupoidal picture of quantum mechanics

Authors: Ciaglia, F.M., Di Cosmo, F., Ibort, A., Marmo, G.

Contributors: European Commission, Agencia Estatal de Investigación (España), Comunidad de Madrid

Source: e-Archivo. Repositorio Institucional de la Universidad Carlos III de Madrid
Universidad Carlos III de Madrid (UC3M)
Journal of Geometry and Physics

Subject Terms: Operator algebra methods applied to problems in quantum theory, Feynman's propagator, von Neumann algebras, Matemáticas, General theory of von Neumann algebras, quantum mechanics, Física, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Quantum mechanics, von Neumann algebra, Feynman's sum, G-paths, Groupoids, General questions in astronomy and astrophysics, Groupoids, semigroupoids, semigroups, groups (viewed as categories), measure groupoids

File Description: application/pdf; application/xml

Access URL: https://hdl.handle.net/10016/47215
https://zbmath.org/7799738
https://doi.org/10.1016/j.geomphys.2023.105095

Quantum Techniques for Reaction Networks: Quantum techniques for reaction networks

Authors: John C. Baez

Contributors: CENTRE FOR QUANTUM TECHNOLOGIES

Source: Advances in Mathematical Physics, Vol 2018 (2018)

Subject Terms: Quantum Physics, Physics, QC1-999, Open systems, reduced dynamics, master equations, decoherence, Probability (math.PR), FOS: Physical sciences, Model quantum field theories, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 16. Peace & justice, 01 natural sciences, Stochastic methods applied to problems in equilibrium statistical mechanics, 60G05, 81R30, 82B31, Statistical thermodynamics, 0103 physical sciences, FOS: Mathematics, Molecular physics, Quantum Physics (quant-ph), Mathematical Physics, Mathematics - Probability

File Description: application/xml; text/xhtml

Access URL: https://downloads.hindawi.com/journals/amp/2018/7676309.pdf
http://arxiv.org/abs/1306.3451
https://zbmath.org/6992020
https://doi.org/10.1155/2018/7676309
https://doaj.org/article/c291ad744e5c47ce8cb6c638fa0a9340
http://math.ucr.edu/home//baez/reaction.pdf
https://www.hindawi.com/journals/amp/2018/7676309/
https://downloads.hindawi.com/journals/amp/2018/7676309.pdf

Existence of semiclassical solutions for some critical Dirac equation

Authors: Yanheng Ding, Qi Guo, Yuanyang Yu

Source: Journal of Mathematical Physics. 62

Subject Terms: Clifford algebras, spinors, Variational methods applied to PDEs, Covariant wave equations in quantum theory, relativistic quantum mechanics, 0103 physical sciences, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Existence problems for PDEs: global existence, local existence, non-existence, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://aip.scitation.org/doi/10.1063/5.0024707
http://ui.adsabs.harvard.edu/abs/2021JMP....62a1501D/abstract

Splitting strings and chains

Authors: Peeters, K., Plefka, J., Zamaklar, M.

Source: Fortschritte der Physik

Subject Terms: High Energy Physics - Theory, High Energy Physics - Theory (hep-th), 0103 physical sciences, FOS: Physical sciences, String and superstring theories, other extended objects (e.g., branes) in quantum field theory, Quantum field theory on curved space or space-time backgrounds, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 01 natural sciences, Yang-Mills and other gauge theories in quantum field theory

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/pdf/hep-th/0501165
http://arxiv.org/abs/hep-th/0501165
https://arxiv.org/abs/hep-th/0501165
https://arxiv.org/pdf/hep-th/0501165.pdf
https://pure.mpg.de/pubman/item/item_151114_1/component/file_151113/0501165.pdf
https://pure.mpg.de/pubman/faces/ViewItemOverviewPage.jsp?itemId=item_151114
http://ui.adsabs.harvard.edu/abs/2005ForPh..53..640P/abstract
https://core.ac.uk/display/2526491
http://pubman.mpdl.mpg.de/pubman/item/escidoc:151114
http://hdl.handle.net/11858/00-001M-0000-0013-4EBD-6
http://hdl.handle.net/11858/00-001M-0000-0013-4EBC-8

Prime Correlations and Fluctuations: Prime correlations and fluctuations

Authors: P. Leboeuf

Source: International Conference on Theoretical Physics ISBN: 9783034896184

Subject Terms: Distribution of primes, \(\zeta (s)\) and \(L(s, \chi)\), 0103 physical sciences, Miscellaneous applications of number theory, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 0101 mathematics, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/chapter/10.1007%2F978-3-0348-7907-1_58
https://link.springer.com/content/pdf/10.1007%2F978-3-0348-7907-1_58.pdf
https://link.springer.com/content/pdf/10.1007/s00023-003-0958-2.pdf
http://ui.adsabs.harvard.edu/abs/2003AnHP....4S.727L/abstract
https://rd.springer.com/chapter/10.1007/978-3-0348-7907-1_58

Lattice Chiral Symmetry, CP-Violation and Majorana Fermions: Lattice chiral symmetry, CP-violation and Majorana fermions

Authors: Kazuo Fujikawa

Source: International Conference on Theoretical Physics ISBN: 9783034896184

Subject Terms: High Energy Physics - Theory, High Energy Physics - Lattice, High Energy Physics - Theory (hep-th), Many-body theory, quantum Hall effect, High Energy Physics - Lattice (hep-lat), 0103 physical sciences, Other elementary particle theory in quantum theory, FOS: Physical sciences, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 01 natural sciences, Quantum field theory on lattices, Yang-Mills and other gauge theories in quantum field theory

File Description: application/xml

Access URL: http://arxiv.org/pdf/hep-lat/0301026
http://arxiv.org/abs/hep-lat/0301026
https://zbmath.org/2182692
https://doi.org/10.1007/s00023-003-0970-6
https://arxiv.org/abs/hep-lat/0301026
http://arxiv.org/pdf/hep-lat/0301026.pdf
https://core.ac.uk/display/2451489
https://ui.adsabs.harvard.edu/abs/2003AnHP....4S.905F/abstract
https://link.springer.com/content/pdf/10.1007/s00023-003-0970-6.pdf
https://www.arxiv-vanity.com/papers/hep-lat/0301026/
https://rd.springer.com/chapter/10.1007/978-3-0348-7907-1_70
https://link.springer.com/article/10.1007%2Fs00023-003-0970-6

Semiclassical properties and chaos degree for the quantum Baker's map: Semiclassical properties and chaos degree for the quantum baker's map.

Authors: Masanori Ohya, Igor Volovich, Kei Inoue

Source: Selected Papers of M Ohya ISBN: 9789812794192

Subject Terms: High Energy Physics - Theory, Quantum Physics, Dynamical systems in other branches of physics (quantum mechanics, general relativity, laser physics), FOS: Physical sciences, Hyperbolic systems with singularities (billiards, etc.), Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, Nonlinear Sciences - Chaotic Dynamics, 01 natural sciences, High Energy Physics - Theory (hep-th), 0103 physical sciences, Chaotic Dynamics (nlin.CD), Quantum Physics (quant-ph), Quantum chaos, Mathematical Physics

File Description: application/xml

Access URL: http://arxiv.org/pdf/quant-ph/0110135
http://arxiv.org/abs/quant-ph/0110135
https://arxiv.org/abs/quant-ph/0110135
http://scitation.aip.org/content/aip/journal/jmp/43/2/10.1063/1.1420743
https://www.arxiv-vanity.com/papers/quant-ph/0110135/
https://aip.scitation.org/doi/full/10.1063/1.1420743
http://ui.adsabs.harvard.edu/abs/2002JMP....43..734I/abstract

Semiclassical Results in the Linear Response Theory: Semiclassical results in the linear response theory.

Authors: Combescure, Monique, Robert, Didier

Contributors: Robert, Didier, Laboratoire de Physique Théorique d'Orsay Orsay (LPT), Université Paris-Sud - Paris 11 (UP11)-Centre National de la Recherche Scientifique (CNRS), Institut de Physique Nucléaire de Lyon (IPNL), Université Claude Bernard Lyon 1 (UCBL), Université de Lyon-Université de Lyon-Institut National de Physique Nucléaire et de Physique des Particules du CNRS (IN2P3)-Centre National de la Recherche Scientifique (CNRS), Laboratoire de Mathématiques Jean Leray (LMJL), Université de Nantes - UFR des Sciences et des Techniques (UN UFR ST), Université de Nantes (UN)-Université de Nantes (UN)-Centre National de la Recherche Scientifique (CNRS)

Source: European Congress of Mathematics ISBN: 9783034894968

Subject Terms: semiclassical limit, FOS: Physical sciences, Mathematical Physics (math-ph), Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, low temperature, 01 natural sciences, trace formula, linear response, [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph], 0103 physical sciences, Quantum dynamics and nonequilibrium statistical mechanics (general), [MATH.MATH-MP] Mathematics [math]/Mathematical Physics [math-ph], 0101 mathematics, Mathematical Physics

File Description: application/pdf; application/xml

Access URL: http://arxiv.org/pdf/math-ph/0211053
http://arxiv.org/abs/math-ph/0211053
https://hal.science/hal-00000067v1/document
https://doi.org/10.1016/s0003-4916(03)00041-1
https://hal.science/hal-00000067v1
https://arxiv.org/abs/math-ph/0211053
https://link.springer.com/chapter/10.1007/978-3-0348-8266-8_35
https://hal.archives-ouvertes.fr/hal-00000067
https://rd.springer.com/chapter/10.1007/978-3-0348-8266-8_35
https://www.ma.utexas.edu/mp_arc/c/02/02-330.pdf
https://ui.adsabs.harvard.edu/abs/2003AnPhy.305...45C/abstract
https://www.sciencedirect.com/science/article/abs/pii/S0003491603000411

Static properties of nuclear matter within the Boson Loop Expansion: Static properties of nuclear matter within the Boson loop expansion

Authors: ALBERICO, Wanda Maria, R. Cenni, GARBARINO, GIANNI, M. R. Quaglia

Source: Annals of Physics. 323:2073-2105

Subject Terms: Nuclear Theory (nucl-th), Boson loop expansion, Nuclear Theory, nuclear matter, 0103 physical sciences, Nuclear physics, functional methods, FOS: Physical sciences, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 01 natural sciences, semiclassical approximation

File Description: application/xml; application/pdf

Access URL: http://arxiv.org/pdf/nucl-th/0701026
http://arxiv.org/abs/nucl-th/0701026
https://zbmath.org/5306514
https://doi.org/10.1016/j.aop.2008.02.003
https://www.sciencedirect.com/science/article/pii/S0003491608000316
https://iris.unito.it/handle/2318/134210
http://ui.adsabs.harvard.edu/abs/2008AnPhy.323.2073A/abstract
https://arxiv.org/abs/nucl-th/0701026v2
https://hdl.handle.net/2318/134210
https://doi.org/10.1016/j.aop.2008.02.003

Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials

Authors: Juncheng Wei, Yanheng Ding

Source: Journal of Functional Analysis. 251:546-572

Subject Terms: superlinear, NLS equations (nonlinear Schrödinger equations), Superlinear, Supercritical growth, existence and multiplicity of semiclassical bound states, Nonlinear Schrödinger equation, Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics, Sign-changing potential, Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory, 0101 mathematics, supercritical growth, 01 natural sciences, Analysis

File Description: application/xml

Access URL: https://zbmath.org/5214694
https://doi.org/10.1016/j.jfa.2007.07.005
https://core.ac.uk/display/82676893
https://www.sciencedirect.com/science/article/pii/S0022123607002765
http://www.sciencedirect.com/science/article/pii/S0022123607002765