arXiv:1605.09374

On approximating the free harmonic oscillator by a particle in a box

Kunle Adegoke, Adenike Olatinwo, Henry Otobrise, Rauf Giwa, Gbenga Olunloyo

Published May 29, 2016• 0 citations

Abstract

The main purpose of this paper is to demonstrate and illustrate, once again, the potency of the variational technique as an approximation procedure for the quantization of quantum mechanical systems. By choosing particle-in-a-box wavefunctions as trial wavefunctions, with the size of the box as the variation parameter, approximate eigenenergies and the corresponding eigenfunctions are obtained for the one dimensional free harmonic oscillator.

DOI: 10.48550/arxiv.1605.09374

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