INNER-PRODUCT PERTURBATION-THEORY - ENERGY-LEVELS OF DOUBLE-WELL POTENTIALS FOR 2-DIMENSIONAL QUANTUM-SYSTEMS BY EXPANDING THE POTENTIAL FUNCTIONS AROUND THEIR MINIMA

Authors
Citation
Mrm. Witwit, INNER-PRODUCT PERTURBATION-THEORY - ENERGY-LEVELS OF DOUBLE-WELL POTENTIALS FOR 2-DIMENSIONAL QUANTUM-SYSTEMS BY EXPANDING THE POTENTIAL FUNCTIONS AROUND THEIR MINIMA, Journal of mathematical chemistry, 22(1), 1997, pp. 11-23
Citations number
20
ISSN journal
02599791
Volume
22
Issue
1
Year of publication
1997
Pages
11 - 23
Database
ISI
SICI code
0259-9791(1997)22:1<11:IP-EOD>2.0.ZU;2-X
Abstract
Energy eigenvalues of double-well potentials for two-dimensional syste ms are calculated by the approach of expanding the potential functions such as V(x, y; Z(2), lambda) = -Z(2)[x(2) + y(2)] + lambda[x(4) + 2x (2)y(2) + y(4)] around their minima, using the inner product technique , for various values of perturbation parameters Z(2) and lambda. Some of the results calculated by the inner product technique are compared with the results produced by other means.