Bojowald, Martin; Hancock, Freddy Quasiclassical model of inhomogeneous cosmology. (English) Zbl 1527.83110 Classical Quantum Gravity 40, No. 15, Article ID 155012, 39 p. (2023). MSC: 83F05 11J20 81R30 83C10 81T12 83C25 81R20 70C20 81Q20 PDFBibTeX XMLCite \textit{M. Bojowald} and \textit{F. Hancock}, Classical Quantum Gravity 40, No. 15, Article ID 155012, 39 p. (2023; Zbl 1527.83110) Full Text: DOI arXiv
Ali, Riasat; Asgher, Muhammad; Sahoo, P. K. Study of tunneling radiation and thermal fluctuations of a gauge super gravity like black hole. (English) Zbl 1522.83360 Ann. Phys. 452, Article ID 169283, 18 p. (2023). MSC: 83E50 83C57 70S15 83C05 70H20 81U26 83C30 80A10 94A17 83C25 81S07 81Q20 PDFBibTeX XMLCite \textit{R. Ali} et al., Ann. Phys. 452, Article ID 169283, 18 p. (2023; Zbl 1522.83360) Full Text: DOI arXiv
Kudryashov, V. V. A nonrelativistic approximation for energy spectrum of a vector particle with anomalous magnetic moment in the Coulomb field. (English) Zbl 07749766 Nonlinear Phenom. Complex Syst., Minsk 25, No. 2, 203-206 (2022). MSC: 81R25 81V60 78A30 81Q20 14D15 70M20 35P15 PDFBibTeX XMLCite \textit{V. V. Kudryashov}, Nonlinear Phenom. Complex Syst., Minsk 25, No. 2, 203--206 (2022; Zbl 07749766) Full Text: DOI
Salvat, Francesc; Llosa, Josep; Lallena, Antonio M.; Almansa, Julio ECCPA: calculation of classical and quantum cross sections for elastic collisions of charged particles with atoms. (English) Zbl 1522.81683 Comput. Phys. Commun. 277, Article ID 108368, 22 p. (2022). MSC: 81U05 78A45 70F35 81R20 14G12 81U30 78A35 81R25 81Q05 81-01 PDFBibTeX XMLCite \textit{F. Salvat} et al., Comput. Phys. Commun. 277, Article ID 108368, 22 p. (2022; Zbl 1522.81683) Full Text: DOI
Choi, Woocheol; Hong, Younghun; Seok, Jinmyoung Semi-classical limit of quantum free energy minimizers for the gravitational Hartree equation. (English) Zbl 1456.81188 Arch. Ration. Mech. Anal. 239, No. 2, 783-829 (2021). Reviewer: Alex B. Gaina (Chisinau) MSC: 81Q20 81T20 83C47 82B30 70F15 85A05 85A15 PDFBibTeX XMLCite \textit{W. Choi} et al., Arch. Ration. Mech. Anal. 239, No. 2, 783--829 (2021; Zbl 1456.81188) Full Text: DOI arXiv
del Valle, J. C.; Turbiner, A. V. Radial anharmonic oscillator: perturbation theory, new semiclassical expansion, approximating eigenfunctions. I: Generalities, cubic anharmonicity case. (English) Zbl 1471.81019 Int. J. Mod. Phys. A 34, No. 26, Article ID 1950143, 43 p. (2019). MSC: 81Q05 81Q15 81Q20 35A15 81S40 70J35 41A58 35P15 PDFBibTeX XMLCite \textit{J. C. del Valle} and \textit{A. V. Turbiner}, Int. J. Mod. Phys. A 34, No. 26, Article ID 1950143, 43 p. (2019; Zbl 1471.81019) Full Text: DOI arXiv
Rabei, Eqab M.; Al Horani, Mohammed Quantization of fractional singular Lagrangian systems using WKB approximation. (English) Zbl 1446.70040 Int. J. Mod. Phys. A 33, No. 36, Article ID 1850222, 9 p. (2018). MSC: 70H20 81Q20 PDFBibTeX XMLCite \textit{E. M. Rabei} and \textit{M. Al Horani}, Int. J. Mod. Phys. A 33, No. 36, Article ID 1850222, 9 p. (2018; Zbl 1446.70040) Full Text: DOI
Paul, Thierry; Sauzin, David Normalization in Lie algebras via mould calculus and applications. (English) Zbl 1383.37049 Regul. Chaotic Dyn. 22, No. 6, 616-649 (2017). MSC: 37J40 81Q15 81Q20 70G65 PDFBibTeX XMLCite \textit{T. Paul} and \textit{D. Sauzin}, Regul. Chaotic Dyn. 22, No. 6, 616--649 (2017; Zbl 1383.37049) Full Text: DOI arXiv
Bastarrachea-Magnani, M. A.; Relaño, A.; Lerma-Hernández, S.; López-del-Carpio, B.; Chávez-Carlos, J.; Hirsch, J. G. Adiabatic invariants for the regular region of the Dicke model. (English) Zbl 1364.81277 J. Phys. A, Math. Theor. 50, No. 14, Article ID 144002, 38 p. (2017). MSC: 81V80 81Q20 81R12 70H11 PDFBibTeX XMLCite \textit{M. A. Bastarrachea-Magnani} et al., J. Phys. A, Math. Theor. 50, No. 14, Article ID 144002, 38 p. (2017; Zbl 1364.81277) Full Text: DOI arXiv
Altarawneh, Derar; Hasan, Eyad Quantization of a uniform gravitational field with a damping quadratic force. (English) Zbl 07809040 Chin. J. Phys., Taipei 54, No. 2, 229-236 (2016). MSC: 70-XX PDFBibTeX XMLCite \textit{D. Altarawneh} and \textit{E. Hasan}, Chin. J. Phys., Taipei 54, No. 2, 229--236 (2016; Zbl 07809040) Full Text: DOI
Jusufi, Kimet Dirac particles tunneling from black holes with topological defects. (English) Zbl 1381.83081 Gen. Relativ. Gravitation 48, No. 8, Paper No. 105, 12 p. (2016). MSC: 83C60 81Q20 54F65 83C40 83C57 83C47 81T20 83C10 70H20 PDFBibTeX XMLCite \textit{K. Jusufi}, Gen. Relativ. Gravitation 48, No. 8, Paper No. 105, 12 p. (2016; Zbl 1381.83081) Full Text: DOI arXiv
Rizwan, Muhammad; Saifullah, K. Hawking radiation from magnetized Kerr-Newman black hole. (English) Zbl 1370.83017 Gen. Relativ. Gravitation 48, No. 12, Article ID 163, 16 p. (2016). MSC: 83C22 83C57 85A25 70H20 81Q20 80A10 PDFBibTeX XMLCite \textit{M. Rizwan} and \textit{K. Saifullah}, Gen. Relativ. Gravitation 48, No. 12, Article ID 163, 16 p. (2016; Zbl 1370.83017) Full Text: DOI
Delgadillo, Ricardo; Lu, Jianfeng; Yang, Xu Gauge-invariant frozen Gaussian approximation method for the Schrödinger equation with periodic potentials. (English) Zbl 1346.81043 SIAM J. Sci. Comput. 38, No. 4, A2440-A2463 (2016). MSC: 81Q20 81Q05 82D20 70S15 81T80 81Q70 41A10 PDFBibTeX XMLCite \textit{R. Delgadillo} et al., SIAM J. Sci. Comput. 38, No. 4, A2440--A2463 (2016; Zbl 1346.81043) Full Text: DOI arXiv
Dittrich, Walter; Reuter, Martin Classical and quantum dynamics. From classical paths to path integrals. 4th ed. (English) Zbl 1330.81001 Graduate Texts in Physics. Cham: Springer (ISBN 978-3-319-21676-8/hbk; 978-3-319-21677-5/ebook). xii, 461 p. (2016). Reviewer: Gert Roepstorff (Aachen) MSC: 81-01 81P05 81S40 81Q20 81Q70 70H05 70S05 78A25 00A79 PDFBibTeX XMLCite \textit{W. Dittrich} and \textit{M. Reuter}, Classical and quantum dynamics. From classical paths to path integrals. 4th ed. Cham: Springer (2016; Zbl 1330.81001) Full Text: DOI
Duncan, Anthony; Janssen, Michel The trouble with orbits: the Stark effect in the old and the new quantum theory. (English) Zbl 1301.81056 Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 48, Part A, 68-83 (2014). MSC: 81Q05 81V45 81P05 70H20 81Q20 81-03 01A60 00A79 PDFBibTeX XMLCite \textit{A. Duncan} and \textit{M. Janssen}, Stud. Hist. Philos. Sci., Part B, Stud. Hist. Philos. Mod. Phys. 48, Part A, 68--83 (2014; Zbl 1301.81056) Full Text: DOI arXiv
Friedrich, Harald Scattering theory. (English) Zbl 1290.70001 Lecture Notes in Physics 872. Berlin: Springer (ISBN 978-3-642-38281-9/pbk; 978-3-642-38282-6/ebook). xi, 287 p. (2013). Reviewer: Vasile Marinca (Timişoara) MSC: 70-01 81Q20 81U99 81V55 PDFBibTeX XMLCite \textit{H. Friedrich}, Scattering theory. Berlin: Springer (2013; Zbl 1290.70001) Full Text: DOI
Gondran, Michel; Gondran, Alexandre The two limits of the Schrödinger equation in the semi-classical approximation: discerned and non-discerned particles in classical mechanics. (English) Zbl 1271.81078 D’Ariano, Mauro (ed.) et al., Foundations of probability and physics – 6. Proceedings of the international conference, Växjö, Sweden, June 14–16, 2011. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-1004-6/pbk). AIP Conference Proceedings 1424, 111-115 (2012). MSC: 81Q20 81Q05 70H20 PDFBibTeX XMLCite \textit{M. Gondran} and \textit{A. Gondran}, AIP Conf. Proc. 1424, 111--115 (2012; Zbl 1271.81078) Full Text: DOI arXiv
Rabei, Eqab M.; Muslih, Sami I.; Baleanu, Dumitru Quantization of fractional systems using WKB approximation. (English) Zbl 1221.81074 Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 807-811 (2010). MSC: 81Q20 26A33 45P05 70H03 70H25 PDFBibTeX XMLCite \textit{E. M. Rabei} et al., Commun. Nonlinear Sci. Numer. Simul. 15, No. 4, 807--811 (2010; Zbl 1221.81074) Full Text: DOI
Solovej, Jan Philip; Sørensen, Thomas Østergaard; Spitzer, Wolfgang Ludwig Relativistic Scott correction for atoms and molecules. (English) Zbl 1182.81065 Commun. Pure Appl. Math. 63, No. 1, 39-118 (2010). Reviewer: Eugene Kryachko (Liège) MSC: 81V45 81V55 81Q20 70H40 81R30 49S05 PDFBibTeX XMLCite \textit{J. P. Solovej} et al., Commun. Pure Appl. Math. 63, No. 1, 39--118 (2010; Zbl 1182.81065) Full Text: DOI arXiv
Marmo, Giuseppe; Morandi, Giuseppe; Mukunda, Narasimhaiengar The Hamilton-Jacobi theory and the analogy between classical and quantum mechanics. (English) Zbl 1278.70014 J. Geom. Mech. 1, No. 3, 317-355 (2009). MSC: 70H20 37J05 70H33 70H40 81Q20 PDFBibTeX XMLCite \textit{G. Marmo} et al., J. Geom. Mech. 1, No. 3, 317--355 (2009; Zbl 1278.70014) Full Text: DOI arXiv
Rabei, Eqab M.; Altarazi, Ibrahim M. A.; Muslih, Sami I.; Baleanu, Dumitru Fractional WKB approximation. (English) Zbl 1176.70014 Nonlinear Dyn. 57, No. 1-2, 171-175 (2009). MSC: 70H20 26A33 PDFBibTeX XMLCite \textit{E. M. Rabei} et al., Nonlinear Dyn. 57, No. 1--2, 171--175 (2009; Zbl 1176.70014) Full Text: DOI arXiv
El-Zalan, Hosam A. On fractional Wentzel, Kramers, Brillouin (WKB) approximation. (English) Zbl 1178.81081 Algebras Groups Geom. 26, No. 1, 93-108 (2009). MSC: 81Q20 26A33 70H05 PDFBibTeX XMLCite \textit{H. A. El-Zalan}, Algebras Groups Geom. 26, No. 1, 93--108 (2009; Zbl 1178.81081)
Belov, V. V.; Dobrokhotov, S. Yu.; Tudorovskiy, T. Ya. Operator separation of variables for adiabatic problems in quantum and wave mechanics. (English) Zbl 1110.81080 J. Eng. Math. 55, No. 1-4, 183-237 (2006). MSC: 81Q20 82D20 53D12 70H11 PDFBibTeX XMLCite \textit{V. V. Belov} et al., J. Eng. Math. 55, No. 1--4, 183--237 (2006; Zbl 1110.81080) Full Text: DOI arXiv
Kalyakin, L. A. Resonance capture in a nonlinear system. (English) Zbl 1178.34062 Theor. Math. Phys. 144, No. 1, 944-951 (2005); translation from Teor. Mat. Fiz. 144, No. 74-82 (2005). MSC: 34E05 70K28 PDFBibTeX XMLCite \textit{L. A. Kalyakin}, Theor. Math. Phys. 144, No. 1, 944--951 (2005; Zbl 1178.34062); translation from Teor. Mat. Fiz. 144, No. 74--82 (2005) Full Text: DOI
Zotov, V. V.; Shafarevich, A. I. Integrable Hamiltonian systems with invariant surfaces of an arbitrary genus and their quasiclassical quantization. (Russian) Zbl 1133.58305 Tr. Semin. Vektorn. Tenzorn. Anal. 26, 285-296 (2005). MSC: 58J50 34E20 70F10 PDFBibTeX XMLCite \textit{V. V. Zotov} and \textit{A. I. Shafarevich}, Tr. Semin. Vektorn. Tenzorn. Anal. 26, 285--296 (2005; Zbl 1133.58305)
Rabei, Eqab M.; Hassan, Eyad H.; Ghassib, Humam B.; Muslih, S. Quantization of second-order constrained Lagrangian systems using the WKB approximation. (English) Zbl 1133.81349 Int. J. Geom. Methods Mod. Phys. 2, No. 3, 485-504 (2005). MSC: 81S99 70H45 81Q20 PDFBibTeX XMLCite \textit{E. M. Rabei} et al., Int. J. Geom. Methods Mod. Phys. 2, No. 3, 485--504 (2005; Zbl 1133.81349) Full Text: DOI
Rabei, Eqab M. Quantization of Christ-Lee model using the WKB approximation. (English) Zbl 1038.81512 Int. J. Theor. Phys. 42, No. 9, 2097-2102 (2003). MSC: 81Q20 70H20 PDFBibTeX XMLCite \textit{E. M. Rabei}, Int. J. Theor. Phys. 42, No. 9, 2097--2102 (2003; Zbl 1038.81512) Full Text: DOI
Kerner, R. Approximation methods in classical and quantum theories. (English) Zbl 1041.81034 Olshanetsky, M. et al., Multiple facets of quantization and supersymmetry. Michael Marinov memorial volume. Singapore: World Scientific (ISBN 981-238-072-8/hbk). 676-696 (2002). MSC: 81Q15 81Q20 70H40 83C35 83C25 PDFBibTeX XMLCite \textit{R. Kerner}, in: Multiple facets of quantization and supersymmetry. Michael Marinov memorial volume. Singapore: World Scientific. 676--696 (2002; Zbl 1041.81034)
Hoppensteadt, Frank C. Analysis and simulation of chaotic systems. 2nd ed. (English) Zbl 0939.34001 Applied Mathematical Sciences. 94. New York, NY: Springer. xx, 315 p. (2000). Reviewer: Klaus R.Schneider (Berlin) MSC: 34-01 34C28 34C15 34A45 34D20 34C23 70K50 58-01 34C25 34C29 34E10 34E20 PDFBibTeX XMLCite \textit{F. C. Hoppensteadt}, Analysis and simulation of chaotic systems. 2nd ed. New York, NY: Springer (2000; Zbl 0939.34001) Full Text: DOI
Goodings, D. A.; Whelan, N. D. Bogomolny’s semiclassical transfer operator for rotationally invariant integrable systems. (English) Zbl 0937.70013 J. Phys. A, Math. Gen. 31, No. 37, 7521-7540 (1998). MSC: 70H06 81Q20 81V45 PDFBibTeX XMLCite \textit{D. A. Goodings} and \textit{N. D. Whelan}, J. Phys. A, Math. Gen. 31, No. 37, 7521--7540 (1998; Zbl 0937.70013) Full Text: DOI arXiv
Roy, R. Valéry Probabilistic analysis of a nonlinear pendulum. (English) Zbl 0895.70016 Acta Mech. 115, No. 1-4, 87-101 (1996). Reviewer: Á.Bosznay (Budapest) MSC: 70L05 70K40 PDFBibTeX XMLCite \textit{R. V. Roy}, Acta Mech. 115, No. 1--4, 87--101 (1996; Zbl 0895.70016) Full Text: DOI
Maslov, Victor P. Semiclassical approximation for an ergodic classical Hamiltonian flow. The derivation of the semiclassical chaos equations. The role of the self-consistent potential. (English) Zbl 0910.58026 Russ. J. Math. Phys. 4, No. 3, 377-392 (1996). MSC: 37A99 81Q20 70H05 PDFBibTeX XMLCite \textit{V. P. Maslov}, Russ. J. Math. Phys. 4, No. 3, 377--392 (1996; Zbl 0910.58026)
Fusco Girard, M. On the semiclassical propagator for the anharmonic oscillator. (English) Zbl 0755.58060 J. Phys. A, Math. Gen. 25, No. 15, 4199-4209 (1992). MSC: 58Z05 81Q30 81Q20 70H03 PDFBibTeX XMLCite \textit{M. Fusco Girard}, J. Phys. A, Math. Gen. 25, No. 15, 4199--4209 (1992; Zbl 0755.58060) Full Text: DOI
Arponen, J. S.; Bishop, R. F. Independent-cluster parametrizations of wave functions in model field theories. I: Introduction to their holomorphic representations. (English) Zbl 0816.58014 Ann. Phys. 207, No. 1, 171-217 (1991). MSC: 37J99 70H05 70G10 81T10 70F10 81R40 PDFBibTeX XMLCite \textit{J. S. Arponen} and \textit{R. F. Bishop}, Ann. Phys. 207, No. 1, 171--217 (1991; Zbl 0816.58014) Full Text: DOI Link
Meyer, Richard E. On exponential asymptotics for nonseparable wave equations. II: EBK Quantization. (English) Zbl 0755.35024 SIAM J. Appl. Math. 51, No. 6, 1602-1615 (1991). Reviewer: Wang Cun-Zheng (Chengdu) MSC: 35J10 41A60 34E20 70H20 PDFBibTeX XMLCite \textit{R. E. Meyer}, SIAM J. Appl. Math. 51, No. 6, 1602--1615 (1991; Zbl 0755.35024) Full Text: DOI
Katz, Alan R. Superspace mechanics as the classical limit of superfield theory. (English) Zbl 0627.70012 Lett. Math. Phys. 12, 329-342 (1986). Reviewer: D.J.Simms MSC: 70Sxx PDFBibTeX XMLCite \textit{A. R. Katz}, Lett. Math. Phys. 12, 329--342 (1986; Zbl 0627.70012) Full Text: DOI
Seligman, T. H. Quantum chaos. (English) Zbl 0561.58018 Group theoretical methods in physics, 13th Int. Colloq., College Park/Md. 1984, 16-25 (1984). Reviewer: G.Osipenko MSC: 37J99 81Q15 70H05 PDFBibTeX XML
Burton, T. D. On the amplitude decay of strongly nonlinear damped oscillators. (English) Zbl 0565.70028 J. Sound Vib. 87, 535-541 (1983). MSC: 70K99 PDFBibTeX XMLCite \textit{T. D. Burton}, J. Sound Vib. 87, 535--541 (1983; Zbl 0565.70028) Full Text: DOI
Hu, Zhizhai; Wei, Qin; Wu, Youshi; Shen, Zhongjun The general expansion of WKB approximation method to the propagator for arbitrary Hamiltonians. (Chinese) Zbl 0525.70019 J. East China Norm. Univ., Nat. Sci. Ed. 1983, No. 3, 45-53 (1983). MSC: 70G99 81Q30 PDFBibTeX XMLCite \textit{Z. Hu} et al., J. East China Norm. Univ., Nat. Sci. Ed. 1983, No. 3, 45--53 (1983; Zbl 0525.70019)
Ozorio de Almeida, A. M. The Wigner function of two dimensional tori: Uniform approximation and projections. (English) Zbl 0517.70020 Ann. Phys. 145, 100-115 (1983). MSC: 70G10 81Q15 37J35 37K10 58K35 81Q99 PDFBibTeX XMLCite \textit{A. M. Ozorio de Almeida}, Ann. Phys. 145, 100--115 (1983; Zbl 0517.70020) Full Text: DOI
Druehl, Kai; McIver, J. K. Charged particles in an intense, plane electromagnetic wave: limitations of the nonrelativistic theory. (English) Zbl 0509.76109 J. Math. Phys. 24, 705-711 (1983). MSC: 76X05 78A35 70H20 81Q05 81Q15 81V10 81T20 PDFBibTeX XMLCite \textit{K. Druehl} and \textit{J. K. McIver}, J. Math. Phys. 24, 705--711 (1983; Zbl 0509.76109) Full Text: DOI
Mizrahi, Maurice M. On the WKB approximation to the propagator for arbitrary Hamiltonians. (English) Zbl 0498.70024 J. Math. Phys. 22, 102-107 (1981). MSC: 70G99 81S40 81P20 81Q05 35S99 PDFBibTeX XMLCite \textit{M. M. Mizrahi}, J. Math. Phys. 22, 102--107 (1981; Zbl 0498.70024) Full Text: DOI Link
Leray, Jean The meaning of Maslov’s asymptotic method: The need of Planck’s constant in mathematics. (English) Zbl 0463.35075 Bull. Am. Math. Soc., New Ser. 5, 15-27 (1981). MSC: 35Q99 34E20 81V45 35A35 70H03 PDFBibTeX XMLCite \textit{J. Leray}, Bull. Am. Math. Soc., New Ser. 5, 15--27 (1981; Zbl 0463.35075) Full Text: DOI
Beletskiĭ, V. V. Asymptotic methods in the dynamics of a rigid body. (Russian) Zbl 0441.70007 Probl. asympt. Theory nonlin. Oscill., Acad. Sci. Ukr. SSR, Inst. Math., 42-46 (1977). MSC: 70E15 34A05 70P05 34E99 PDFBibTeX XML