Semiclassical quantization of the hydrogen atom in a generalized van der waals potential

Ganesan, K. ; Lakshmanan, M. (1992) Semiclassical quantization of the hydrogen atom in a generalized van der waals potential Physical Review A, 45 (3). pp. 1548-1555. ISSN 1050-2947

Full text not available from this repository.

Official URL: http://link.aps.org/doi/10.1103/PhysRevA.45.1548

Related URL: http://dx.doi.org/10.1103/PhysRevA.45.1548

Abstract

A semiclassical quantization of the hydrogen atom in a generalized van der Waals potential is carried out using the Kustaanheimo-Stiefel transformation and Birkhoff-Gustavson normal-form procedure, employed by Kuwata, Harada, and Hasegawa [J. Phys. A 23, 3227 (1990)] for the diamagnetic Kepler problem. We derive here the generalized approximate Solov'ev constant of motion. By using appropriate action-angle variables in the normal Hamiltonian, we derive four canonically equivalent action integrals that take an especially simple form for the three classically integrable cases and provide exact quantum numbers. For near-integrable cases the semiclassical spectrum can be generated by integrating the appropriate action integrals numerically.

Item Type:Article
Source:Copyright of this article belongs to American Physical Society.
ID Code:19539
Deposited On:22 Nov 2010 12:26
Last Modified:07 Jun 2011 07:06

Repository Staff Only: item control page