Mathematical Proceedings of the Cambridge Philosophical Society

Research Article

The constrained quantum mechanical harmonic oscillator

P. Deana1

a1 Mathematics Division, National Physical Laboratory, Teddington, Middlesex

Abstract

The effect of restricting the displacements of a quantum mechanical harmonic oscillator to semi-infinite and finite regions is studied. It is shown how the eigenvalue problem may be solved, both graphically, and from certain series expansions.

(Received August 18 1965)