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Progress of Theoretical Physics

The Energy-Levels and Transition Probabilities for a Bounded Linear Harmonic Oscillator

J. S. Baijal, K. K. Singh

Published Sep 1, 1955• 34 citations
Publisher

Abstract

The first five energy levels and the oscillator strengths for transitions involving the first three states have been numerically computed for a bounded linear harmonic oscillator for various values of the boundary parameter. It is found that for l>3l0, where l is the length of the box within which the oscillator is confined and l0 is the classical amplitude of the oscillator when it has energy hv, the bounded oscillator behaves more or less like a free oscillator (in the first few energy levels), while for l≪l0 it has properties closely approaching those of a free particle enclosed in a box.

DOI
10.1143/ptp.14.214

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