Spectrum of One-Dimensional Multiple Well Oscillators

Abstract

We apply power series expansion to symmetric multi-well oscillators bounded by two infinite walls. The spectrum and expectation values obtained are compared with available exact and approximate values for the unbounded ones. It is shown that the method is capable of producing to a high accuracy the eigenvalues, eigenfunctions, and the expectation values $<x^{2k}>$ of the corresponding unbounded ones as the separation between the two infinite walls becomes large.