Harmonic oscillator with translational degrees of freedom in a magnetic field

Autor: E. E. Bergmann, A. Holz
Rok vydání: 1972
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Zdroj: Il Nuovo Cimento B Series 11. 7:277-283
ISSN: 1826-9877
DOI: 10.1007/bf02743600
Popis: This paper describes a procedure to find exact solutions for a generalm-dimensional anisotropic harmonic oscillator in a uniform, but otherwise arbitrary magnetic field in ann-dimensional space (of dimension larger than s). In an earlier paper by the same authors exact solutions of Schrodinger’s equation were presented for the above problem when the dimension of the oscillator potential coincided with the dimension of the space (i.e. no translational degrees of freedom). Consequently this paper details only the procedure for finding a Landaulike gauge so that the Hamiltonian may be separated into two parts. One part contains all explicit reference to those linear momenta which are constants of the motion. The other part is shown to be of the form requisite to be exactly solved by the methods of the earlier paper.
Databáze: OpenAIRE
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