CALCULATING ENERGY-LEVELS OF A DOUBLE-WELL POTENTIAL IN A 2-DIMENSIONAL SYSTEM BY EXPANDING THE POTENTIAL FUNCTION AROUND ITS MINIMUM

Authors
WITWIT MRM GORDON NA
Citation
Mrm. Witwit et Na. Gordon, CALCULATING ENERGY-LEVELS OF A DOUBLE-WELL POTENTIAL IN A 2-DIMENSIONAL SYSTEM BY EXPANDING THE POTENTIAL FUNCTION AROUND ITS MINIMUM, Canadian journal of physics, 75(10), 1997, pp. 705-714
Citations number
16
Categorie Soggetti
Physics
Journal title
Canadian journal of physics → ACNP
ISSN journal
00084204
Volume
75
Issue
10
Year of publication
1997
Pages
705 - 714
Database
ISI
SICI code
0008-4204(1997)75:10<705:CEOADP>2.0.ZU;2-F
Abstract
Energy eigenvalues are obtained for a double-well potential V(x,y; Z(2 ), lambda, a(xy)) = -Z(2)[x(2) + y(2)] + lambda[x(4) + 2a(xy)x(2)y(2) + y(4)], in a two-dimensional system, using the Hill-determinant appro ach, for various values of perturbation parameters Z(2), lambda, and a (xy). Some of the results calculated by the Hill-determinant approach are compared with the results produced by other means.