Chinese Physics

Exact solutions of N -dimensional harmonic oscillator via Laplace transformation

Chen Gang

Published May 3, 2005• 40 citations

Abstract

The N -dimensional Schrödinger equation for the harmonic oscillator is reduced to a first-order differential equation in terms of the Laplace transformation and the exact bound state solutions are derived. It is shown that this method of solving Schrödinger equation may serve as a substitute for the standard functional, analytical approach also in lower dimensions.

DOI: 10.1088/1009-1963/14/6/003

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