Calculations for double-well potentials of perturbed oscillator type in three-dimensional systems using the Hill-determinant approach

Witwit, M.R.M.; Gordon, N.A.

Abstract

A determination of the eigenvalues for a three-dimensional system is made by expanding the potential functionV(x,y,z;Z2, λ,β)= ?Z2[x2+y2+z2]+λ {x4+y4+z4+2β[x2y2+x2z2+y2z2]}, around its minimum. In this paper the results of extensive numerical calculations using this expansion and the Hill-determinant approach are reported for a large class of potential functions and for various values of the perturbation parametersZ2, λ, and β. PACS No.:03.65

• Journal Article Type: Article
• Publication Date: 1998
• Journal: Canadian Journal of Physics
• Print ISSN: 0008-4204
• Electronic ISSN: 0008-4204
• Publisher: NRC Research Press
• Peer Reviewed: Peer Reviewed
• Volume: 76
• Issue: 8
• Pages: 609-620
• APA6 Citation: Witwit, M., & Gordon, N. (1998). Calculations for double-well potentials of perturbed oscillator type in three-dimensional systems using the Hill-determinant approach. Canadian Journal of Physics, 76(8), 609-620. https://doi.org/10.1139/cjp-76-8-609
• DOI: https://doi.org/10.1139/cjp-76-8-609
• Keywords: General Physics and Astronomy