Harmonic oscillator tensors.Part. VI.A purely radial approach to the doubly degenerate harmonic oscillator

摘要

A simple expression for the angular momenntum operator occurring in the theory of the doubly degenerate harmonic oscillator is forund. Its action on a radial ket simulates the behaviorof the true angular mometum operator,thereby allowing the usualy algebras associated with the oscillator to be isomorphic to ones that arise from a purely radial approach. The consequences of these isomorphisms are explored insofar as irreducible tensore are concermed. The matrix elements of the vibrational operators that arise from a purely radial treatment of the oscillator are related to the tensors and evaluated.