Acosta-Humánez, Primitivo B.; Blázquez-Sanz, David; Venegas-Gómez, Henock Liouvillian solutions for second order linear differential equations with Laurent polynomial coefficient. (English) Zbl 1532.34023 São Paulo J. Math. Sci. 17, No. 2, 638-670 (2023). MSC: 34A30 34A05 12H05 33C47 34C15 34A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Shengping; Zhang, Jiacheng; Yang, Jianhua; Liu, Houguang; Sanjuán, Miguel A. F. Logical vibrational resonance in a symmetric bistable system: numerical and experimental studies. (English) Zbl 1515.34038 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107123, 15 p. (2023). MSC: 34C15 34C23 70K40 34F05 34C25 34C14 70K30 × Cite Format Result Cite Review PDF Full Text: DOI
Chatzakou, Marianna; Delgado, Julio; Ruzhansky, Michael On a class of anharmonic oscillators. II: General case. (English) Zbl 1498.35373 Bull. Sci. Math. 180, Article ID 103196, 22 p. (2022). MSC: 35P20 35A27 35Q41 35R11 47B10 47G30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bernardi, Enrico; Lanconelli, Alberto Stochastic perturbation of a cubic anharmonic oscillator. (English) Zbl 1490.60140 Discrete Contin. Dyn. Syst., Ser. B 27, No. 5, 2563-2585 (2022). MSC: 60H10 34C15 34F05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Moghimi-Araghi, Saman; Loran, Farhang Anharmonic oscillator: a playground to get insight into renormalization. (English) Zbl 1527.81059 Eur. J. Phys. 42, No. 5, Article ID 055802, 23 p. (2021). MSC: 81Q15 34C15 81T17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Sumei; Wu, Yunqi; Chen, Aixi The stationary optomechanical entanglement between an optical cavity field and a cubic anharmonic oscillator. (English) Zbl 1483.81068 Int. J. Theor. Phys. 60, No. 10, 3961-3972 (2021). MSC: 81Q10 81Q15 81Q05 81-04 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Mandrysz, Michał; Dybiec, Bartłomiej Energy partition for anharmonic, undamped, classical oscillators. (English) Zbl 1514.81186 J. Phys. A, Math. Theor. 53, No. 19, Article ID 195001, 9 p. (2020). MSC: 81S30 34C15 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fring, Andreas; Tenney, Rebecca Spectrally equivalent time-dependent double wells and unstable anharmonic oscillators. (English) Zbl 1448.81345 Phys. Lett., A 384, No. 21, Article ID 126530, 3 p. (2020). MSC: 81Q65 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mutuk, Halil Energy levels of one-dimensional anharmonic oscillator via neural networks. (English) Zbl 1411.81032 Mod. Phys. Lett. A 34, No. 12, Article ID 1950088, 11 p. (2019). MSC: 81-08 81Q05 92B20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gusso, André; Pimentel, Jéssica D. Approximate fully analytical Fourier series solution to the forced and damped Helmholtz-Duffing oscillator. (English) Zbl 1465.34015 Appl. Math. Modelling 61, 593-603 (2018). MSC: 34A25 34C15 37C60 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Codesido, Santiago; Mariño, Marcos Holomorphic anomaly and quantum mechanics. (English) Zbl 1387.81283 J. Phys. A, Math. Theor. 51, No. 5, Article ID 055402, 30 p. (2018). MSC: 81T30 81T45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Makarov, V. L. Exact solutions of spectral problems for the Schrödinger operator on \((-\infty,\infty)\) with polynomial potential obtained via the FD-method. (Ukrainian. English summary) Zbl 1374.65191 Dopov. Nats. Akad. Nauk Ukr., Mat. Pryr. Tekh. Nauky 2017, No. 2, 10-15 (2017). MSC: 65N25 35J10 35P15 × Cite Format Result Cite Review PDF Full Text: DOI
Mityagin, Boris; Siegl, Petr; Viola, Joe Differential operators admitting various rates of spectral projection growth. (English) Zbl 1545.47031 J. Funct. Anal. 272, No. 8, 3129-3175 (2017). MSC: 47A55 34L10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Truong, T. T. Quartic anharmonic oscillator integral properties via the 2D-quantum free fall problem. (English) Zbl 1360.81160 Far East J. Appl. Math. 94, No. 6, 455-490 (2016). MSC: 81Q10 33E99 45H05 81R05 17B81 × Cite Format Result Cite Review PDF
Fernández, Francisco M.; Garcia, Javier Unitary transformations of a family of two-dimensional anharmonic oscillators. (English) Zbl 1345.35004 J. Math. Chem. 54, No. 6, 1321-1326 (2016). MSC: 35A30 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaudreau, Philippe J.; Slevinsky, Richard M.; Safouhi, Hassan Computing energy eigenvalues of anharmonic oscillators using the double exponential sinc collocation method. (English) Zbl 1360.65197 Ann. Phys. 360, 520-538 (2015). MSC: 65L10 65L20 34C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gaddah, Wajdi A. A higher-order finite-difference approximation with Richardson’s extrapolation to the energy eigenvalues of the quartic, sextic and octic anharmonic oscillators. (English) Zbl 1326.81062 Eur. J. Phys. 36, No. 3, Article ID 035025, 26 p. (2015). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Bernardin, Cédric; Huveneers, François; Lebowitz, Joel L.; Liverani, Carlangelo; Olla, Stefano Green-Kubo formula for weakly coupled systems with noise. (English) Zbl 1311.82038 Commun. Math. Phys. 334, No. 3, 1377-1412 (2015). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82C70 60F17 80A20 60G09 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Sandev, Trifce; Petreska, Irina; Lenzi, Ervin K. Harmonic and anharmonic quantum-mechanical oscillators in noninteger dimensions. (English) Zbl 1396.81106 Phys. Lett., A 378, No. 3, 109-116 (2014). MSC: 81Q65 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Masoero, Davide Painlevé I, coverings of the sphere and Belyi functions. (English) Zbl 1322.34100 Constr. Approx. 39, No. 1, 43-74 (2014). Reviewer: Shun Shimomura (Yokohama) MSC: 34M55 11G32 30E10 34M50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Olla, Stefano; Sasada, Makiko Macroscopic energy diffusion for a chain of anharmonic oscillators. (English) Zbl 1307.82022 Probab. Theory Relat. Fields 157, No. 3-4, 721-775 (2013). Reviewer: Gen Qi Xu (Tianjin) MSC: 82C70 60K35 82C22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Tahir-Kheli, Raza General and statistical thermodynamics. (English) Zbl 1236.82001 Graduate Texts in Physics. Berlin: Springer (ISBN 978-3-642-21480-6/hbk). xxix, 677 p. (2012). Reviewer: Claudia-Veronika Meister (Darmstadt) MSC: 82-01 82B40 82B30 82B05 82B10 82B35 80A22 × Cite Format Result Cite Review PDF
Macías-Díaz, J. E. A computational technique with multiple properties of consistency in the study of modified \(\beta \)-Fermi-Pasta-Ulam chains. (English) Zbl 1222.37080 Commun. Nonlinear Sci. Numer. Simul. 15, No. 7, 1740-1753 (2010). MSC: 37K60 34A33 34C15 65L12 82C05 × Cite Format Result Cite Review PDF Full Text: DOI
Liverani, C.; Olla, S. Heat equation from microscopic dynamics: a weak coupling approach. (English) Zbl 1203.80001 Exner, Pavel (ed.), XVIth international congress on mathematical physics, Prague, Czech Republic, August 3–8, 2009. With DVD. Hackensack, NJ: World Scientific (ISBN 978-981-4304-62-7/hbk). 397-400 (2010). MSC: 80A05 80A20 82C35 × Cite Format Result Cite Review PDF
Jentschura, Ulrich D.; Zinn-Justin, Jean Calculation of the characteristic functions of anharmonic oscillators. (English) Zbl 1203.65278 Appl. Numer. Math. 60, No. 12, 1332-1341 (2010). MSC: 65P10 81P68 81Q20 81S10 37M15 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Masoero, Davide Y-system and deformed thermodynamic Bethe Ansatz. (English) Zbl 1210.34129 Lett. Math. Phys. 94, No. 2, 151-164 (2010). Reviewer: Galina Filipuk (Warszawa) MSC: 34M35 34M55 34M50 82B23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shin, Kwang C. Anharmonic oscillators with infinitely many real eigenvalues and \(\mathcal{PT}\)-symmetry. (English) Zbl 1201.34135 SIGMA, Symmetry Integrability Geom. Methods Appl. 6, Paper 015, 9 p. (2010). MSC: 34M03 34L20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv EuDML EMIS
Macías-Díaz, J. E.; Medina-Ramírez, I. E. An implicit four-step computational method in the study on the effects of damping in a modified Fermi-Pasta-Ulam medium. (English) Zbl 1221.82094 Commun. Nonlinear Sci. Numer. Simul. 14, No. 7, 3200-3212 (2009). MSC: 82C80 37L60 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Macías-Díaz, J. E.; Medina-Ramírez, I. E.; Puri, A. On the generation of localized nonlinear modes in a linear array of anharmonic oscillators. (English) Zbl 1179.82087 Int. J. Mod. Phys. C 20, No. 8, 1187-1198 (2009). MSC: 82C20 34C15 82-08 × Cite Format Result Cite Review PDF Full Text: DOI
Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri; Röckner, Michael The statistical mechanics of quantum lattice systems. A path integral approach. (English) Zbl 1178.82001 EMS Tracts in Mathematics 8. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-070-8/hbk). xiii, 379 p. (2009). Reviewer: Hiroshi Tamura (Kanazawa) MSC: 82-02 81-02 × Cite Format Result Cite Review PDF Full Text: DOI
Voroshilova, Yu. N.; Rydalevskaya, M. A. Effect of vibrational excitation of molecules on the velocity of sound in a high-temperature diatomic gas. (English. Russian original) Zbl 1271.76312 J. Appl. Mech. Tech. Phys. 49, No. 3, 369-374 (2008); translation from Prikl. Mekh. Tekh. Fiz. 49, No. 3, 28-34 (2008). MSC: 76Q05 82B40 × Cite Format Result Cite Review PDF Full Text: DOI
De Freitas, A.; Martín, P.; Castro, E.; Paz, J. L. Eigenvalues and eigenfunctions for the ground state of polynomial potentials. (English) Zbl 1197.81117 Phys. Lett., A 362, No. 5-6, 371-376 (2007). MSC: 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Katatbeh, Qutaibeh D.; Hall, Richard L.; Saad, Nasser Eigenvalue bounds for polynomial central potentials in \(d\) dimensions. (English) Zbl 1131.81011 J. Phys. A, Math. Theor. 40, No. 44, 13431-13442 (2007). Reviewer: Anatoly N. Kochubei (Kyïv) MSC: 81Q10 81Q05 34C15 47N50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishikawa, Hideaki Numerical methods for the eigenvalue determination of second-order ordinary differential equations. (English) Zbl 1122.65068 J. Comput. Appl. Math. 208, No. 2, 404-424 (2007). MSC: 65L15 34L16 65L06 × Cite Format Result Cite Review PDF Full Text: DOI
Johansson, Magnus Discrete nonlinear Schrödinger approximation of a mixed Klein-Gordon/Fermi-Pasta-Ulam chain: modulational instability and a statistical condition for creation of thermodynamic breathers. (English) Zbl 1138.34320 Physica D 216, No. 1, 62-70 (2006). MSC: 34C15 82C20 35Q55 35Q53 82B20 34B45 37K60 × Cite Format Result Cite Review PDF Full Text: DOI
Antunes, A. C. B.; Antunes, L. J. Matricial solutions of quantum systems with anharmonic oscillator, singular and non-symmetrical potentials. (English) Zbl 1078.81519 Hadronic J. 28, No. 3, 319-336 (2005). MSC: 81Q05 81R15 × Cite Format Result Cite Review PDF
Mahapatra, B. P.; Santi, N.; Pradhan, N. B. A new general approximation scheme in quantum theory: application to the anharmonic and the double well oscillators. (English) Zbl 1070.81054 Int. J. Mod. Phys. A 20, No. 12, 2687-2714 (2005). MSC: 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mandal, Swapan The approximate solution of a classical quartic anharmonic oscillator with periodic force: a simple analytical approach. (English) Zbl 1062.34503 Commun. Nonlinear Sci. Numer. Simul. 10, No. 3, 341-352 (2005). MSC: 34A45 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Kazantseva, Elena V. The description of extremely short pulses in non-resonant media in frame of Maxwell-Duffing-type models. (English) Zbl 1099.35539 Abdullaev, Fatkhulla Kh. (ed.) et al., Nonlinear waves: Classical and quantum aspects. Proceedings of the NATO advanced research workshop, Estoril, Portugal, July 13-17, 2003. Dordrecht: Kluwer Academic Publishers (ISBN 1-4020-2189-5/pbk; 1-4020-2188-7/hbk). NATO Science Series II: Mathematics, Physics and Chemistry 153, 361-372 (2004). MSC: 35Q60 78A60 × Cite Format Result Cite Review PDF
Albeverio, Sergio; Kondratiev, Yuri; Kozak, Agnieszka; Kozitsky, Yuri A hierarchical model of quantum anharmonic oscillators: critical point convergence. (English) Zbl 1093.82014 Commun. Math. Phys. 251, No. 1, 1-25 (2004). Reviewer: J. Kaupužs (Riga) MSC: 82C21 82C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Maimistov, Andrei I.; Caputo, Jean-Guy Propagation of extremely short pulses in nonresonant media: the total Maxwell–Duffing model. (English) Zbl 1050.78003 Physica D 189, No. 1-2, 107-114 (2004). MSC: 78A40 35Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Voroshilova, Yu. N.; Rydalevskaya, M. A. Direct shocks in a vibrationally nonequilibrium gas. (Russian, English) Zbl 1048.82005 Prikl. Mekh. Tekh. Fiz. 45, No. 5, 26-31 (2004); translation in J. Appl. Mech. Tech. Phys. 45, No. 5, 634-638 (2004). Reviewer: V. I. Pinchukov (Novosibirsk) MSC: 82C40 76P05 80A20 76L05 × Cite Format Result Cite Review PDF
Daumont, Isabelle; Peyrard, Michel One-dimensional “turbulence” in a discrete lattice. (English) Zbl 1080.76536 Chaos 13, No. 2, 624-636 (2003). MSC: 76F99 76F55 76M28 × Cite Format Result Cite Review PDF Full Text: DOI
Aoki, Ken-Ichi; Horikoshi, Atsushi; Taniguchi, Masaki; Terao, Haruhiko Nonperturbative renormalization group analysis in quantum mechanics. (English) Zbl 1022.81043 Prog. Theor. Phys. 108, No. 3, 571-590 (2002). Reviewer: Akira Asada (Takarazuka) MSC: 81T17 81Q50 81-04 81R40 35Q40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kosevich, Yuriy A.; Corso, G. Temporal Fourier spectra of stationary and slowly moving breathers in Fermi-Pasta-Ulam anharmonic lattice. (English) Zbl 1098.70537 Physica D 170, No. 1, 1-12 (2002). MSC: 70K75 × Cite Format Result Cite Review PDF Full Text: DOI
Morgante, Anna Maria; Johansson, Magnus; Kopidakis, Georgios; Aubry, Serge Standing wave instabilities in a chain of nonlinear coupled oscillators. (English) Zbl 1005.70020 Physica D 162, No. 1-2, 53-94 (2002). MSC: 70K50 74J30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Piazza, F.; Lepri, S.; Livi, R. Slow energy relaxation and localization in 1D lattices. (English) Zbl 0993.82031 J. Phys. A, Math. Gen. 34, No. 46, 9803-9814 (2001). MSC: 82C05 82C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gómez, F. J.; Sesma, J. Bound states and “resonances” in quantum anharmonic oscillators. (English) Zbl 1115.81333 Phys. Lett., A 270, No. 1-2, 20-26 (2000). MSC: 81Q05 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Eckmann, J.-P.; Hairer, M. Non-equilibrium statistical mechanics of strongly anharmonic chains of oscillators. (English) Zbl 1044.82008 Commun. Math. Phys. 212, No. 1, 105-164 (2000). Reviewer: David Jou (Bellaterra) MSC: 82C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kouomou, Y. C.; Woafo, P. Stability and chaos control in electrostatic transducers. (English) Zbl 1097.37511 Phys. Scr. 62, No. 4, 255-260 (2000). MSC: 37N20 37N35 × Cite Format Result Cite Review PDF Full Text: DOI
Martín, P.; Velasco, A. Numerical calculation of the frequency of an oscillatory problem. (English) Zbl 0974.65071 Appl. Math. Lett. 13, No. 2, 91-96 (2000). Reviewer: Werner M.Seiler (Mannheim) MSC: 65L05 34C10 × Cite Format Result Cite Review PDF Full Text: DOI
Slavyanov, S. Yu. Recurrent calculations of multipole matrix elements. (English. Russian original) Zbl 0967.81009 Theor. Math. Phys. 120, No. 3, 1213-1219 (1999); translation from Teor. Mat. Fiz. 120, No. 3, 473-481 (1999). MSC: 81Q05 34L40 × Cite Format Result Cite Review PDF Full Text: DOI
Kahn, Peter B.; Zarmi, Yair Time dependence of operators in anharmonic quantum oscillators: Explicit perturbative analysis. (English) Zbl 0969.81020 J. Math. Phys. 40, No. 10, 4658-4663 (1999). MSC: 81Q15 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Skála, L.; Čížek, J.; Zamastil, J. Strong coupling perturbation expansions for anharmonic oscillators. Numerical results. (English) Zbl 0976.81007 J. Phys. A, Math. Gen. 32, No. 30, 5715-5734 (1999). Reviewer: Miloslav Znojil (Řež) MSC: 81Q15 47A55 47N50 65B10 34L15 34L40 81T15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Faris, William G.; Minlos, Robert A. A quantum crystal with multidimensional anharmonic oscillators. (English) Zbl 0958.82004 J. Stat. Phys. 94, No. 3-4, 365-387 (1999). MSC: 82B10 82D25 82B20 × Cite Format Result Cite Review PDF Full Text: DOI
Kopidakis, G.; Aubry, S. Intraband discrete breathers in disordered nonlinear systems. I: Delocalization. (English) Zbl 0943.70016 Physica D 130, No. 3-4, 155-186 (1999). MSC: 70L05 70K99 82D30 × Cite Format Result Cite Review PDF Full Text: DOI
Skála, L.; Čížek, J.; Zamastil, J. Large-order behaviour of the strong coupling perturbation expansion for anharmonic oscillators. (English) Zbl 0928.34071 J. Phys. A, Math. Gen. 32, No. 9, L123-L127 (1999). MSC: 34L40 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Chebotarev, L. V. On the nature of energy levels of anharmonic oscillators. (English) Zbl 0930.34075 Ann. Phys. 273, No. 1, 114-145 (1999). MSC: 34L40 81U05 34L25 37N20 34C60 34E20 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Bambusi, Dario Some stability properties of breathers in Hamiltonian networks of oscillators. (English) Zbl 0988.37080 Physica D 119, No. 1-2, 47-55 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37K05 70H15 70K99 × Cite Format Result Cite Review PDF Full Text: DOI
Steeb, W.-H.; van Wyk, M. A.; Stoop, R. Chaotic maps, control parameter, and Liapunov exponent. (English) Zbl 0944.37016 Int. J. Theor. Phys. 37, No. 10, 2653-2655 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37D45 37E05 37D25 × Cite Format Result Cite Review PDF Full Text: DOI
Albeverio, Sergio; Kondratiev, Yuri; Kozitsky, Yuri Suppression of critical fluctuations by strong quantum effects in quantum lattice systems. (English) Zbl 0930.60088 Commun. Math. Phys. 194, No. 3, 493-512 (1998). Reviewer: Rolando Rebolledo Berroe (Santiago de Chile) MSC: 60K35 81T25 × Cite Format Result Cite Review PDF Full Text: DOI
Kasperkovitz, P.; Peev, M. Semi-classical mechanics in one dimension. II: Approximate matrix elements. (English) Zbl 0919.70008 J. Phys. A, Math. Gen. 31, No. 9, 2227-2239 (1998). Reviewer: Paninjukunnath Achuthan (Madras) MSC: 70G10 81Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Euler, Norbert Transformation properties of \(\ddot x+f_1(t)\dot x+f_2(t)x+f_3(t)x^n=0\). (English) Zbl 0949.34028 J. Nonlinear Math. Phys. 4, No. 3-4, 310-337 (1997). MSC: 34C14 34C20 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, F. M.; Guardiola, R. The strong coupling expansion for anharmonic oscillators. (English) Zbl 0936.70023 J. Phys. A, Math. Gen. 30, No. 20, 7187-7192 (1997). MSC: 70K60 70-08 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Ping, Jialun; Chen, Jinquan Partial dynamical symmetry in molecules. (English) Zbl 0918.22016 Ann. Phys. 255, No. 1, 75-96 (1997). MSC: 22E70 81R05 81V55 × Cite Format Result Cite Review PDF Full Text: DOI
Znojil, Miloslav \(r^ D\) oscillators with arbitrary \(D>0\) and perturbation expansions with Sturmians. (English) Zbl 0889.47038 J. Math. Phys. 38, No. 10, 5087-5097 (1997). MSC: 47N50 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Allen, T.; Anastassiou, C.; Klink, W. H. The quartic anharmonic oscillator and its associated nonconstant magnetic field. (English) Zbl 0887.22026 J. Math. Phys. 38, No. 10, 4887-4899 (1997). MSC: 22E70 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Voros, André Exact anharmonic quantization condition (in one dimension). (English) Zbl 0887.35137 Rauch, Jeffrey (ed.) et al., Quasiclassical methods. Proceedings based on talks given at the IMA workshop, Minneapolis, MN, USA, May 22–26, 1995. New York, NY: Springer. IMA Vol. Math. Appl. 95, 189-224 (1997). MSC: 35Q40 81S10 35P05 × Cite Format Result Cite Review PDF
Albeverio, S.; Kondratiev, Yu. G.; Kozitsky, Yu. V. Absence of critical points for a class of quantum hierarchical models. (English) Zbl 0878.46046 Commun. Math. Phys. 187, No. 1, 1-18 (1997). MSC: 46L60 81T10 × Cite Format Result Cite Review PDF Full Text: DOI
Grothaus, Martin; Khandekar, Dinkar C.; da Silva, José L.; Streit, Ludwig The Feynman integral for time-dependent anharmonic oscillators. (English) Zbl 0878.58011 J. Math. Phys. 38, No. 6, 3278-3299 (1997). MSC: 58D30 81S40 × Cite Format Result Cite Review PDF Full Text: DOI Link
Handy, Carlos R.; Maweu, John; Atterberry, Leticia Soto Variational formulation of a moment problem quantization method. (English) Zbl 0869.65076 J. Math. Phys. 37, No. 3, 1182-1196 (1996). Reviewer: E.Lanckau (Chemnitz) MSC: 65Z05 65N25 35Q40 81Q05 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Gueron, Shay; Shalloway, David Spatial interpolation methods for integrating Newton’s equation. (English) Zbl 0866.65046 J. Comput. Phys. 129, No. 1, 87-100 (1996). Reviewer: M.Calvo (Zaragoza) MSC: 65L05 34A34 70F25 70K40 65Y20 × Cite Format Result Cite Review PDF Full Text: DOI
Santagata, Carlo Classical foundations of quantum postulates. (English) Zbl 0873.70001 J. Inf. Optim. Sci. 17, No. 1, 97-126 (1996). Reviewer: Oliviu Gherman (Bucureşti) MSC: 70-XX 81V45 82D20 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Caliceti, E.; Grecchi, V.; Maioli, M. Perturbation theory, Borel summability, and asymptotics. (English) Zbl 0866.35076 St. Petersbg. Math. J. 8, No. 1, 111-122 (1997); translation from Algebra Anal. 8, No. 1, 145-159 (1996). MSC: 35P05 35B20 × Cite Format Result Cite Review PDF
Caliceti, E.; Grecchi, V.; Maioli, M. Perturbation theory, Borel summability, and asymptotics. (English) Zbl 0849.35083 Algebra Anal. 8, No. 1, 145-159 (1996). MSC: 35P05 35B20 × Cite Format Result Cite Review PDF
Albeverio, S.; Kondratiev, Yu. G.; Kozitskyj, Yu. V. Quantum hierarchical models. (English) Zbl 0931.28012 Methods Funct. Anal. Topol. 2, No. 3-4, 1-35 (1996). Reviewer: G.F.Us (Kyïv) MSC: 28C20 82B10 82B20 × Cite Format Result Cite Review PDF
Bambusi, Dario Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators. (English) Zbl 0925.70230 Nonlinearity 9, No. 2, 433-457 (1996). MSC: 70K20 70H99 × Cite Format Result Cite Review PDF Full Text: DOI
Christie, J. R.; Gopalsamy, K. Chaos in an anharmonic oscillator. (English) Zbl 0853.34040 J. Aust. Math. Soc., Ser. B 37, No. 2, 186-207 (1995). Reviewer: P.Garbaczewski (Wrocław) MSC: 34C28 34C15 34C37 37D15 × Cite Format Result Cite Review PDF Full Text: DOI
Witwit, M. R. M. Some inner product techniques for computing eigenvalues for three-dimensional anharmonic oscillators with quartic and sextic perturbations. (English) Zbl 0857.65112 J. Comput. Appl. Math. 62, No. 3, 285-299 (1995). Reviewer: W.Velte (Würzburg) MSC: 65N25 35P30 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, Francisco M. Renormalized perturbation series and the semiclassical limit of quantum mechanics. (English) Zbl 0843.34082 J. Math. Phys. 36, No. 8, 3922-3930 (1995). MSC: 34L40 81Q05 × Cite Format Result Cite Review PDF Full Text: DOI
Lemus, R.; Frank, A. Algebraic approach to the vibrational excitations in tetrahedral molecules. (English) Zbl 0899.22031 Arima, A. (ed.) et al., Yamada conference XL. Proceedings of the XXth international colloquium on group theoretical methods in physics, Toyonaka, Japan, July 4-9, 1994. Singapore: World Scientific. 295-298 (1995). MSC: 22E70 81V55 × Cite Format Result Cite Review PDF
Eleonskij, V. M.; Korolev, V. G. On bifurcations in the Schrödinger problem admitting of an existence of nonlinear shift operators. (English) Zbl 0887.34075 Int. J. Bifurcation Chaos Appl. Sci. Eng. 5, No. 6, 1727-1740 (1995). MSC: 34L40 81Q10 × Cite Format Result Cite Review PDF Full Text: DOI
Saied, Faisal; Sarin, Vivek The spectral Lanczos method applied to the time-independent Schrödinger equation. (English) Zbl 0819.65114 Lewis, John G. (ed.), Applied linear algebra. Proceedings of the 5th SIAM conference, held in Snowbird, UT, USA, June 15-18, 1994. Philadelphia, PA: SIAM. 331-335 (1994). MSC: 65L15 65L60 34L40 34L15 × Cite Format Result Cite Review PDF
Usher, J. R. Observations on a useful general nonlinear equation. (English) Zbl 0808.65075 Comput. Math. Appl. 28, No. 4, 99-105 (1994). Reviewer: A.Marciniak (Poznań) MSC: 65L05 34C15 34C25 34A34 × Cite Format Result Cite Review PDF Full Text: DOI
Fernández, Francisco M.; Guardiola, R. Accurate eigenvalues and eigenfunctions for quantum-mechanical anharmonic oscillators. (English) Zbl 0822.34075 J. Phys. A, Math. Gen. 26, No. 23, 7169-7180 (1993). MSC: 34L40 81Q05 34L15 × Cite Format Result Cite Review PDF Full Text: DOI
Pérez M., Gustavo A. Delamotte approximation. (English) Zbl 0818.34020 Cienc. Tecnol. 17, No. 1, 53-68 (1993). MSC: 34C15 70K05 34C05 34A45 33C45 × Cite Format Result Cite Review PDF
Barbulyak, V. S.; Kondrat’ev, Yu. G. Periodic Gibbs states. (English. Russian original) Zbl 0799.60094 Ukr. Math. J. 45, No. 4, 481-489 (1993); translation from Ukr. Mat. Zh. 45, No. 4, 451-458 (1993). MSC: 60K35 82B40 × Cite Format Result Cite Review PDF Full Text: DOI
Weniger, Ernst Joachim; Čížek, Jiří; Vinette, Francine The summation of the ordinary and renormalized perturbation series for the ground state energy of the quartic, sextic, and octic anharmonic oscillators using nonlinear sequence transformations. (English) Zbl 0794.34045 J. Math. Phys. 34, No. 2, 571-609 (1993). MSC: 34E10 81Q15 34C15 × Cite Format Result Cite Review PDF Full Text: DOI
Guardiola, R.; Ros, J. The anharmonic oscillator \(- d^ 2/dx^ 2 + x^ 2 + b/x^ 4 + c/x^ 6\) for extreme values of the anharmonicity constants. (English) Zbl 0748.34018 J. Phys. A, Math. Gen. 25, No. 5, 1351-1372 (1992). MSC: 34C15 34D10 × Cite Format Result Cite Review PDF Full Text: DOI
Weniger, Ernst Joachim Interpolation between sequence transformations. (English) Zbl 0794.65004 Numer. Algorithms 3, No. 1-4, 477-486 (1992). Reviewer: J.L.Fernández Muñiz (La Habana) MSC: 65B05 × Cite Format Result Cite Review PDF Full Text: DOI
Howland, James S. Stability of quantum oscillators. (English) Zbl 0764.58039 J. Phys. A, Math. Gen. 25, No. 19, 5177-5181 (1992). MSC: 58Z05 82C10 × Cite Format Result Cite Review PDF Full Text: DOI
Huber, H.; Büttner, H. On a classical constrained system and its quantum mechanical counterpart. (English) Zbl 0767.70011 J. Phys. A, Math. Gen. 25, No. 18, L1111-L1118 (1992). MSC: 70F99 81S10 × Cite Format Result Cite Review PDF Full Text: DOI
McRae, S. M.; Vrscay, E. R. Canonical perturbation expansions to large order from classical hypervirial and Hellmann-Feynman theorems. (English) Zbl 0765.70013 J. Math. Phys. 33, No. 9, 3004-3024 (1992). MSC: 70H99 70F05 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Dangelmayr, Gerhard; Kirby, Michael On diffusively coupled oscillators. (English) Zbl 0769.34025 Bifurcation and symmetry. Cross influence between mathematics and applications, Proc. Workshop, Marburg/Ger. 1991, ISNM 104, 85-97 (1992). Reviewer: A.Cañada (Granada) MSC: 34C15 34C29 34D10 37G15 × Cite Format Result Cite Review PDF
Exton, Harold A generalised confluent hypergeometric equation and an application to a class of anharmonic oscillators. (English) Zbl 0746.34015 J. Indian Acad. Math. 13, No. 1, 6-11 (1991). MSC: 34A30 33C15 34A25 34C25 34E05 × Cite Format Result Cite Review PDF
Gompa, Raghu R. Time-dependent normal form theory and Schrödinger initial value problems. (English) Zbl 0747.47049 J. Math. Phys. 32, No. 4, 959-966 (1991). MSC: 47N50 81Q05 35J10 81Q15 × Cite Format Result Cite Review PDF Full Text: DOI
Friedlander, Leonid Creation and annihilation operators for anharmonic oscillators. (English) Zbl 0776.47023 Proc. Am. Math. Soc. 113, No. 2, 425-433 (1991). MSC: 47G30 47E05 47A10 37A30 × Cite Format Result Cite Review PDF Full Text: DOI
Lindenberg, Katja; West, Bruce J. The nonequilibrium statistical mechanics of open and closed systems. (English) Zbl 0706.60105 New York etc.: VCH Publishers; 0-89573-347-1. xi, 448 p. (1990). Reviewer: V.Zagrebnov MSC: 60K40 82C05 82C10 60-02 × Cite Format Result Cite Review PDF
Duarte, L. G. S.; Euler, N.; Moreira, I. C.; Steeb, W.-H. Invertible point transformations, Painlevé analysis and anharmonic oscillators. (English) Zbl 0721.34033 J. Phys. A, Math. Gen. 23, No. 8, 1457-1463 (1990). MSC: 34C20 34C15 34A25 × Cite Format Result Cite Review PDF Full Text: DOI
Fritz, J. On the diffusive nature of entropy flow in infinite systems: Remarks to a paper by Guo-Papanicolau-Varadhan. (English) Zbl 0719.60122 Commun. Math. Phys. 133, No. 2, 331-352 (1990). MSC: 60K35 81P20 81V99 × Cite Format Result Cite Review PDF Full Text: DOI