Calculating energy levels of a double-well potential in a two- dimensional system by expanding the potential function around its minimum

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

Citation

Witwit, M. R. M., & Gordon, N. A. (1997). Calculating energy levels of a double-well potential in a two- dimensional system by expanding the potential function around its minimum. Canadian Journal of Physics, 75(10), 705-714. https://doi.org/10.1139/p97-023

• Journal Article Type: Article
• Acceptance Date: May 20, 1997
• Publication Date: Oct 10, 1997
• Journal: Canadian Journal of Physics
• Print ISSN: 0008-4204
• Publisher: NRC Research Press (Canadian Science Publishing)
• Peer Reviewed: Peer Reviewed
• Volume: 75
• Issue: 10
• Pages: 705-714
• DOI: https://doi.org/10.1139/p97-023
• Keywords: General Physics and Astronomy
• Public URL: https://hull-repository.worktribe.com/output/405457
• Publisher URL: http://www.nrcresearchpress.com/doi/10.1139/p97-023#.W3wyIsanG70