INNER-PRODUCT THEORY CALCULATIONS FOR SOME RATIONAL POTENTIALS IN A 3-DIMENSIONAL SYSTEM

The energy levels of a three-dimensional system are calculated for the rational potentials, V(x,y,z; g,lambda) = x(2) + y(2) + z(2) + lambda [x(2)/(1 + gx(2)) + y(2)/(1 + gy(2)) + z(2)/(1 + gz(2)) + a(xy)x(2)y(2 ) + a(xz)x(2)z(2) + a(yz)y(2)z(2)] using the inner-product technique o ver a wide range of values of the perturbation parameters (lambda, g) and for various eigenstates. The numerical results for some special ca ses agree with those of previous workers where available.