skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
; ;  [1]
  1. Laboratoire de Physique Quantique et Systemes Dynamiques, Departement de Physique, Faculte des Sciences, Universite Ferhat Abbas de Setif, Setif 19000 (Algeria)
Publication Date:
OSTI Identifier:
20786807
Resource Type:
Journal Article
Journal Name:
Physical Review. A
Additional Journal Information:
Journal Volume: 73; Journal Issue: 1; Other Information: DOI: 10.1103/PhysRevA.73.016101; (c) 2006 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 1050-2947
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; EIGENVALUES; HARMONIC OSCILLATORS; MAGNETIC FIELDS; MATHEMATICAL SOLUTIONS; SCHROEDINGER EQUATION; TIME DEPENDENCE; TWO-DIMENSIONAL CALCULATIONS; WAVE FUNCTIONS

Citation Formats

Maamache, M, Bounames, A, Ferkous, N, and Laboratoire de Physique Theorique, Departement de Physique, Faculte des Sciences, Universite de Jijel, Boite Postale 98, Ouled Aissa, Jijel 18000. Comment on 'Wave functions of a time-dependent harmonic oscillator in a static magnetic field'. United States: N. p., 2006. Web. doi:10.1103/PHYSREVA.73.0.
Maamache, M, Bounames, A, Ferkous, N, & Laboratoire de Physique Theorique, Departement de Physique, Faculte des Sciences, Universite de Jijel, Boite Postale 98, Ouled Aissa, Jijel 18000. Comment on 'Wave functions of a time-dependent harmonic oscillator in a static magnetic field'. United States. https://doi.org/10.1103/PHYSREVA.73.0
Maamache, M, Bounames, A, Ferkous, N, and Laboratoire de Physique Theorique, Departement de Physique, Faculte des Sciences, Universite de Jijel, Boite Postale 98, Ouled Aissa, Jijel 18000. 2006. "Comment on 'Wave functions of a time-dependent harmonic oscillator in a static magnetic field'". United States. https://doi.org/10.1103/PHYSREVA.73.0.
@article{osti_20786807,
title = {Comment on 'Wave functions of a time-dependent harmonic oscillator in a static magnetic field'},
author = {Maamache, M and Bounames, A and Ferkous, N and Laboratoire de Physique Theorique, Departement de Physique, Faculte des Sciences, Universite de Jijel, Boite Postale 98, Ouled Aissa, Jijel 18000},
abstractNote = {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.},
doi = {10.1103/PHYSREVA.73.0},
url = {https://www.osti.gov/biblio/20786807}, journal = {Physical Review. A},
issn = {1050-2947},
number = 1,
volume = 73,
place = {United States},
year = {Sun Jan 15 00:00:00 EST 2006},
month = {Sun Jan 15 00:00:00 EST 2006}
}