ABSTRACT
Hyposc, rally programs of this chapter apply perturbation techniques. The first program, hyposc, is one invented and refined by the author in work on the quantum mechanics of the perturbed oscillator, and would serve as a useful example for students who are studying quantum mechanics. The program hyposc as presented and described is the one used in various calculations reported in the research literature. The theory associated with hyposc can clearly be generalized to produce a range of perturbation algorithms which involve slight modifications of hyposc without any change in its general structure. In the usual textbook presentations of Rayleigh-Schrodinger perturbation theory the perturbed energy coefficients En are expressed in terms of sums over the unperturbed eigenstates. In an ad hoc experiment, it was found possible to run rally in a manner which applies Brillouin-Wigner perturbation theory.
