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