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

Journal Article · Sun Jan 15 00:00:00 EST 2006 · Physical Review. A

DOI:https://doi.org/10.1103/PHYSREVA.73.0· OSTI ID:20786807

Maamache, M; Bounames, A; Ferkous, N ^[1]

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1. Laboratoire de Physique Quantique et Systemes Dynamiques, Departement de Physique, Faculte des Sciences, Universite Ferhat Abbas de Setif, Setif 19000 (Algeria)

We show that the procedure used by Ferreira et al. [Phys. Rev. A 66, 024103 (2002)] is not correct for the following reasons: (i) the invariant I(t) they derived does not satisfy the Liouville-Von Neuman equation. (ii) They found that the eigenvalues of I(t) are time dependent which should not be the case according to the Lewis-Riesenfeld theory. We give a correct procedure to find the solution of the system they considered, i.e., the Schroedinger equation for a two-dimensional harmonic oscillator with time-dependent mass and frequency in the presence of a static magnetic field.

• OSTI ID: 20786807
• Journal Information: Physical Review. A, Vol. 73, Issue 1; Other Information: DOI: 10.1103/PhysRevA.73.016101; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
EIGENVALUES
HARMONIC OSCILLATORS
MAGNETIC FIELDS
MATHEMATICAL SOLUTIONS
SCHROEDINGER EQUATION
TIME DEPENDENCE
TWO-DIMENSIONAL CALCULATIONS
WAVE FUNCTIONS