Phys. Rev. A 66, 024103 (2002) [4 pages]Wave functions of a time-dependent harmonic oscillator in a static magnetic fieldReceived 5 September 2001; published 13 August 2002 In this paper, we solve for the exact wave functions of a two-dimensional harmonic oscillator under the influence of a static magnetic field. This is done through the use of the so-called Ermakov invariants, similarity transformed so as to obtain a time-independent Schrödinger equation. In the same manner, time-dependent eigenvalues are also computed. It is shown that previous results for the invariants are particular cases for the ones found in this work. © 2002 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.024103
DOI:
10.1103/PhysRevA.66.024103
PACS:
03.65.Fd, 05.30.-d
See AlsoComment: M. Maamache, A. Bounames, and N. Ferkous, Comment on “Wave functions of a time-dependent harmonic oscillator in a static magnetic field”, Phys. Rev. A 73, 016101 (2006). |
|
About | Terms and Conditions | Subscriptions | Search | Help
Use of the American Physical Society websites and journals implies that the user has read and agrees to our Terms and Conditions and any applicable Subscription Agreement. Physical Review®, Physical Review Letters®, Reviews of Modern Physics®, and Physical Review Special Topics® are trademarks of the American Physical Society.