Comment on "Wave functions of a time-dependent harmonic oscillator in a static magnetic field"

Abstract

References (13)

Citing Articles

Download: PDF (54 kB) or Buy this Article (US$25) (Use Article Pack)

M. Maamache
Laboratoire de Physique Quantique et Systèmes Dynamiques, Département de Physique, Faculté des Sciences, Université Ferhat Abbas de Setif, Sétif 19000, Algeria

A. Bounames and N. Ferkous
Laboratoire de Physique Théorique, Département de Physique, Faculté des Sciences, Université de Jijel, Boîte Postale 98, Ouled Aissa, Jijel 18000, Algeria

Received 26 September 2004; published 24 January 2006

Weshow that the procedure used by Ferreira et al. [Phys. Rev.A 66, 024103 (2002)] is not correct for the followingreasons: (i) the invariant I(t) they derived does not satisfythe Liouville–Von Neuman equation. (ii) They found that the eigenvaluesof I(t) are time dependent which should not be thecase according to the Lewis-Riesenfeld theory. We give a correctprocedure to find the solution of the system they considered,i.e., the Schrödinger equation for a two-dimensional harmonic oscillator withtime-dependent mass and frequency in the presence of a staticmagnetic field.

URL:	http://link.aps.org/doi/10.1103/PhysRevA.73.016101
DOI:	10.1103/PhysRevA.73.016101
PACS:	03.65.Fd; 03.65.Ca; 03.65.Ge; 05.30.-d 03.65.Fd Algebraic methods in quantum mechanics 03.65.Ca Formalism in quantum mechanics 03.65.Ge Solutions of wave equations: bound states in quantum mechanics 05.30.-d Quantum statistical mechanics YEAR: 2006
KEYWORDS:	Schrodinger equation, harmonic oscillators, wave functions

REFERENCES (13)

View in Separate Window/Tab

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.

I. A. Pedrosa, G. P. Serra, and I. Guedes, Phys. Rev. A 56, 4300 (1997).
M. Maamache, K. Bencheikh, and H. Hachemi, Phys. Rev. A 59, 3124 (1999).
M. Maamache, J. P. Provost, and G. Vallée, Phys. Rev. A 59, 1777 (1999).
M. S. Abdalla, Phys. Rev. A 37, 4026 (1988).
H. R. Lewis, Jr. and W. B. Riesenfeld, J. Math. Phys. 10, 1458 (1969).
B. Baseia, S. S. Mizrahi, and M. H. Y. Moussa, Phys. Rev. A 46, 5885 (1992).
C. A. S. Ferreira, P. T. S. Alencar, and J. M. F. Bassalo, Phys. Rev. A 66, 024103 (2002).