Semiclassical quantization via adiabatic switching. II. Choice of tori and initial conditions for multidimensional systems

Subhash Saini; Jakub Zakrzewski; Howard S. Taylor

doi:10.1103/PhysRevA.38.3900

Semiclassical quantization via adiabatic switching. II. Choice of tori and initial conditions for multidimensional systems

Subhash Saini, Jakub Zakrzewski, and Howard S. Taylor

Phys. Rev. A 38, 3900 – Published 1 October 1988

Abstract

The formulation of a general strategy for implementing semiclassical quantization using the adiabatic-switching method, presented in the preceding paper for two-dimensional systems, is generalized to multidimensional systems. The method is shown to produce accurate semiclassical eigenvalues for the realistic polynomial potential describing ${SO}_{2}$ as well as for model potentials for other multidimensional systems. The results are compared with semiclassical results obtained with use of other methods.

Received 24 March 1988

DOI:https://doi.org/10.1103/PhysRevA.38.3900

Authors & Affiliations

Subhash Saini

Theoretical Atomic and Molecular Physics Group (L-417), Department of Physics, Lawrence Livermore National Laboratory, University of California, P.O. Box 808, Livermore, California 94550

Jakub Zakrzewski and Howard S. Taylor

Department of Chemistry, University of Southern California, Los Angeles, California 90089-0482

Semiclassical quantization via adiabatic switching. I. Choice of tori and initial conditions for two-dimensional systems

Jakub Zakrzewski, Subhash Saini, and Howard S. Taylor

Phys. Rev. A 38, 3877 (1988)

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Vol. 38, Iss. 8 — October 1988

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Physical Review A

covering atomic, molecular, and optical physics and quantum information