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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.

Authors

M. R. M. Witwit



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 Oct 10, 1997
Journal Canadian Journal of Physics
Print ISSN 0008-4204
Electronic ISSN 1208-6045
Publisher NRC Research Press
Peer Reviewed Peer Reviewed
Volume 75
Issue 10
Pages 705-714
APA6 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
DOI https://doi.org/10.1139/p97-023
Keywords General Physics and Astronomy
Publisher URL http://www.nrcresearchpress.com/doi/10.1139/p97-023#.W3wyIsanG70
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