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Volumn 43, Issue 13, 1998, Pages 1066-1071

Exact solution of the Schrödinger equation for the time-dependent harmonic oscillator

Author keywords

Lax equation; Recursion operator; Schr dinger equation; Time dependent harmonic oscillator

Indexed keywords


EID: 0542393114     PISSN: 10016538     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02883074     Document Type: Article
Times cited : (2)

References (12)
  • 1
    • 36749021775 scopus 로고
    • An exact quantum theory for time-dependent harmonic oscillator and of a charged particle in a time-dependennt electromagnetic fields
    • Lewis, H. R., Riesenfeld, W, B., An exact quantum theory for time-dependent harmonic oscillator and of a charged particle in a time-dependennt electromagnetic fields, J. Math. Phys., 1969, 10: 1458.
    • (1969) J. Math. Phys. , vol.10 , pp. 1458
    • Lewis, H.R.1    Riesenfeld, W.B.2
  • 2
    • 0542392192 scopus 로고
    • Time-dependent invariant for the quadratic Hamiltonian and the stable squeezed states
    • Fan, H. Y., Zaidi, H. R., Time-dependent invariant for the quadratic Hamiltonian and the stable squeezed states, Can. J. Phys., 1987, 65: 525.
    • (1987) Can. J. Phys. , vol.65 , pp. 525
    • Fan, H.Y.1    Zaidi, H.R.2
  • 3
    • 0000370318 scopus 로고
    • Correspondence between Berry's phase and Lewis's phase for quadratic Hamiltonians
    • Morales, D. A., Correspondence between Berry's phase and Lewis's phase for quadratic Hamiltonians, J. Phys., 1988, A21: L889.
    • (1988) J. Phys. , vol.A21
    • Morales, D.A.1
  • 4
    • 0001392707 scopus 로고
    • The geometrical phase: An approach through the use of invariants
    • Mizrahi, S. S., The geometrical phase: An approach through the use of invariants, Phys. Lett., 1989, A138: 465.
    • (1989) Phys. Lett. , vol.A138 , pp. 465
    • Mizrahi, S.S.1
  • 5
    • 4244194670 scopus 로고
    • Geometric phase and the generalized invariant formulation
    • Gao, X. C., Xu, J. B., Qian, T. Z., Geometric phase and the generalized invariant formulation, Phys. Rev., 1991, A44: 7016.
    • (1991) Phys. Rev. , vol.A44 , pp. 7016
    • Gao, X.C.1    Xu, J.B.2    Qian, T.Z.3
  • 6
    • 0542415867 scopus 로고    scopus 로고
    • Connection between the Berry phase and the Lewis phase
    • Zeng, J. Y., Lei, Y. A., Connection between the Berry phase and the Lewis phase. Phys. Lett., 1996, A215: 239.
    • (1996) Phys. Lett. , vol.A215 , pp. 239
    • Zeng, J.Y.1    Lei, Y.A.2
  • 7
    • 0039219978 scopus 로고
    • Electromagnetic traps for charged and neutral particles
    • Paul, W., Electromagnetic traps for charged and neutral particles, Rev. Mod. Phys., 1992, 62: 531.
    • (1992) Rev. Mod. Phys. , vol.62 , pp. 531
    • Paul, W.1
  • 8
    • 33747423197 scopus 로고
    • Exact solution for the motion of a particle in a Paul trap
    • Feng. M., Wang, K. L., Exact solution for the motion of a particle in a Paul trap, Phys. Lett., 1995, A197: 135.
    • (1995) Phys. Lett. , vol.A197 , pp. 135
    • Feng, M.1    Wang, K.L.2
  • 9
    • 0004216411 scopus 로고
    • Berlin: Springer-Verlag
    • Eilenberger, G., Solitons, Berlin: Springer-Verlag, 1981.
    • (1981) Solitons
    • Eilenberger, G.1
  • 10
    • 0001693585 scopus 로고
    • Invariants for nonlinear equations of motion
    • Ray, R. J., Invariants for nonlinear equations of motion. Prog. Theor. Phys., 1982, 65: 877.
    • (1982) Prog. Theor. Phys. , vol.65 , pp. 877
    • Ray, R.J.1
  • 12
    • 0004216411 scopus 로고
    • Berlin: Springer-Verlag
    • Eilenberger, G., Solitons, Berlin: Springer-Verlag, 1981.
    • (1981) Solitons
    • Eilenberger, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.