Ma, Shao-Qiang; Zheng, Xiao; Zhang, Guo-Feng Phase anti-synchronization dynamics between mechanical oscillator and atomic ensemble within a Fabry-Perot cavity. (English) Zbl 1508.81863 Quantum Inf. Process. 19, No. 5, Paper No. 152, 15 p. (2020). MSC: 81Q80 PDF BibTeX XML Cite \textit{S.-Q. Ma} et al., Quantum Inf. Process. 19, No. 5, Paper No. 152, 15 p. (2020; Zbl 1508.81863) Full Text: DOI arXiv
Bruschi, David Edward Time evolution of two harmonic oscillators with cross-Kerr interactions. (English) Zbl 1439.81100 J. Math. Phys. 61, No. 3, 032102, 13 p. (2020). MSC: 81V80 81P17 81Q05 35Q55 82D20 81U15 PDF BibTeX XML Cite \textit{D. E. Bruschi}, J. Math. Phys. 61, No. 3, 032102, 13 p. (2020; Zbl 1439.81100) Full Text: DOI arXiv
Zarmi, Yair A classical limit-cycle system that mimics the quantum-mechanical harmonic oscillator. (English) Zbl 1378.34063 Physica D 359, 21-28 (2017). MSC: 34C15 34C05 PDF BibTeX XML Cite \textit{Y. Zarmi}, Physica D 359, 21--28 (2017; Zbl 1378.34063) Full Text: DOI
Sharma, Navneet; Rawat, Tarun Kumar; Parthasarathy, Harish; Gautam, Kumar Realization of a quantum gate using gravitational search algorithm by perturbing three-dimensional harmonic oscillator with an electromagnetic field. (English) Zbl 1348.81180 Quantum Inf. Process. 15, No. 6, 2275-2302 (2016). MSC: 81P68 81Q93 81Q05 81Q10 PDF BibTeX XML Cite \textit{N. Sharma} et al., Quantum Inf. Process. 15, No. 6, 2275--2302 (2016; Zbl 1348.81180) Full Text: DOI
Ibeh, G. J.; Mshelia, E. D. Energy dissipation in a model of coupled three-dimensional harmonic oscillators. (English) Zbl 1368.70031 Far East J. Math. Sci. (FJMS) 88, No. 1, 107-136 (2014). MSC: 70J10 81V35 PDF BibTeX XML Cite \textit{G. J. Ibeh} and \textit{E. D. Mshelia}, Far East J. Math. Sci. (FJMS) 88, No. 1, 107--136 (2014; Zbl 1368.70031) Full Text: Link
Taşeli, H.; Alıcı, H. The Laguerre pseudospectral method for the reflection symmetric Hamiltonians on the real line. (English) Zbl 1124.65067 J. Math. Chem. 41, No. 4, 407-416 (2007). MSC: 65L15 65L60 34L16 PDF BibTeX XML Cite \textit{H. Taşeli} and \textit{H. Alıcı}, J. Math. Chem. 41, No. 4, 407--416 (2007; Zbl 1124.65067) Full Text: DOI
Taşeli, H.; Alıcı, H. The scaled Hermite-Weber basis in the spectral and pseudospectral pictures. (English) Zbl 1217.65153 J. Math. Chem. 38, No. 3, 367-378 (2005). MSC: 65L15 81Q05 34L40 42C10 PDF BibTeX XML Cite \textit{H. Taşeli} and \textit{H. Alıcı}, J. Math. Chem. 38, No. 3, 367--378 (2005; Zbl 1217.65153) Full Text: DOI
Pang, Qianjun Application of intermediate entangled state representation on solving coupled oscillator. (English) Zbl 1078.81512 Mod. Phys. Lett. B 19, No. 27, 1397-1402 (2005). MSC: 81P15 PDF BibTeX XML Cite \textit{Q. Pang}, Mod. Phys. Lett. B 19, No. 27, 1397--1402 (2005; Zbl 1078.81512) Full Text: DOI
Taşeli, H.; Erseçen, M. Bahar The scaled Hermite–Weber basis still highly competitive. (English) Zbl 1037.81041 J. Math. Chem. 34, No. 3-4, 177-187 (2003). MSC: 81Q10 33C45 PDF BibTeX XML Cite \textit{H. Taşeli} and \textit{M. B. Erseçen}, J. Math. Chem. 34, No. 3--4, 177--187 (2003; Zbl 1037.81041) Full Text: DOI
De Souza Dutra, Alvaro On the quantum mechanical propagator for driven coupled harmonic oscillators. (English) Zbl 0755.58057 J. Phys. A, Math. Gen. 25, No. 15, 4189-4198 (1992). MSC: 58Z05 70H03 81Q30 PDF BibTeX XML Cite \textit{A. De Souza Dutra}, J. Phys. A, Math. Gen. 25, No. 15, 4189--4198 (1992; Zbl 0755.58057) Full Text: DOI
Exton, Harold On a q-deformed harmonic oscillator with variable linear momentum. (English) Zbl 0790.34037 Collect. Math. 43, No. 3, 187-190 (1992). MSC: 34C15 34L40 81Q05 33C45 PDF BibTeX XML Cite \textit{H. Exton}, Collect. Math. 43, No. 3, 187--190 (1992; Zbl 0790.34037) Full Text: EuDML
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 PDF BibTeX XML Cite \textit{S. M. McRae} and \textit{E. R. Vrscay}, J. Math. Phys. 33, No. 9, 3004--3024 (1992; Zbl 0765.70013) Full Text: DOI
Peskin, Charles S. Analysis of the backward-Euler/Langevin method for molecular dynamics. (English) Zbl 0723.60103 Commun. Pure Appl. Math. 43, No. 5, 599-645 (1990). MSC: 60J70 65C99 60K40 81S99 81V99 PDF BibTeX XML Cite \textit{C. S. Peskin}, Commun. Pure Appl. Math. 43, No. 5, 599--645 (1990; Zbl 0723.60103) Full Text: DOI
Deenen, J. Solvable potentials generated by SL(2,\({\mathbb{R}})\). (English) Zbl 0711.22009 J. Phys. A, Math. Gen. 23, No. 2, 133-146 (1990). Reviewer: G.Roepstorff MSC: 22E70 81S05 17B81 PDF BibTeX XML Cite \textit{J. Deenen}, J. Phys. A, Math. Gen. 23, No. 2, 133--146 (1990; Zbl 0711.22009) Full Text: DOI
Beckers, J.; Debergh, N. On the quantum harmonic oscillator and its coherent states with maximal symmetry. (English) Zbl 0682.46048 Bull. Soc. R. Sci. Liège 58, No. 2, 91-98 (1989). MSC: 46N99 81S05 81R30 PDF BibTeX XML Cite \textit{J. Beckers} and \textit{N. Debergh}, Bull. Soc. R. Sci. Liège 58, No. 2, 91--98 (1989; Zbl 0682.46048)
Peskin, Charles S.; Schlick, Tamar Molecular dynamics by the backward-Euler method. (English) Zbl 0681.92003 Commun. Pure Appl. Math. 42, No. 7, 1001-1031 (1989). MSC: 92C05 92-08 65L99 81Q99 PDF BibTeX XML Cite \textit{C. S. Peskin} and \textit{T. Schlick}, Commun. Pure Appl. Math. 42, No. 7, 1001--1031 (1989; Zbl 0681.92003) Full Text: DOI
Giler, S. Generalized WKBJ formulae. (English) Zbl 0665.34041 J. Phys. A 21, No. 4, 909-930 (1988). Reviewer: J.H.Tian MSC: 34C15 81Q05 81Q15 PDF BibTeX XML Cite \textit{S. Giler}, J. Phys. A, Math. Gen. 21, No. 4, 909--930 (1988; Zbl 0665.34041) Full Text: DOI
Dendy, R. O. Resonant interval action transfer between coupled harmonic oscillators. (English) Zbl 0655.70016 J. Math. Phys. 29, No. 10, 2202-2204 (1988). MSC: 70H99 70J99 81Q99 PDF BibTeX XML Cite \textit{R. O. Dendy}, J. Math. Phys. 29, No. 10, 2202--2204 (1988; Zbl 0655.70016) Full Text: DOI
Kummer, Martin; Gompa, Raghuramaiah Nonlinearly coupled oscillators in quantum mechanics: A normal form approach. (English) Zbl 0651.46074 J. Math. Phys. 29, No. 6, 1405-1416 (1988). Reviewer: M.Kummer MSC: 46N99 81Q05 46E20 47B25 PDF BibTeX XML Cite \textit{M. Kummer} and \textit{R. Gompa}, J. Math. Phys. 29, No. 6, 1405--1416 (1988; Zbl 0651.46074) Full Text: DOI
Fröhlich, J.; Martinelli, F.; Scoppola, E.; Spencer, T. Constructive proof of localization in the Anderson tight binding model. (English) Zbl 0573.60096 Commun. Math. Phys. 101, 21-46 (1985). MSC: 82B44 47A10 47B80 47N55 60K35 PDF BibTeX XML Cite \textit{J. Fröhlich} et al., Commun. Math. Phys. 101, 21--46 (1985; Zbl 0573.60096) Full Text: DOI
Fichtner, Karl-Heinz; Freudenberg, Wolfgang On a probabilistic model of quantum mechanical particle systems. (English) Zbl 0478.70016 Wiss. Sitz. Stochastik, Akad. Wiss. DDR, Inst. Math. WSS-O1/82, 55 p. (1982). MSC: 70G99 81P20 PDF BibTeX XML
Marcus, R. A. Molecular behavior in the quasi-periodic and stochastic regimes. (English) Zbl 0501.70029 Nonlinear dynamics, int. Conf., New York 1979, Ann. N.Y. Acad. Sci. 357, 169-182 (1980). MSC: 70K99 34C15 81Q05 PDF BibTeX XML