Journal article
Energy spectra of the hydrogen atom and the harmonic oscillator in two dimensions from Bogomolny's semiclassical transfer operator
Abstract
The semiclassical quantization scheme formulated by Bogomolny [E.B. Bogomolny, Nonlinearity 5, 805 (1992); Chaos 2, 5 (1992)], employing a suitably chosen Poincaré surface of section, has been used to calculate the energy eigenvalues of the hydrogen atom in one and two dimensions and the anisotropic harmonic oscillator in two dimensions. For the two-dimensional systems it was found to be advantageous to decompose Bogomolny's transfer operator …
Authors
Biechele P; Goodings DA; Lefebvre JH
Journal
Physical Review E, Vol. 53, No. 4, pp. 3198–3208
Publisher
American Physical Society (APS)
Publication Date
April 1996
DOI
10.1103/physreve.53.3198
ISSN
2470-0045