Exact solutions of N-dimensional harmonic oscillator via Laplace transformation
Chen Gang (陈刚)
Department of physics, Shaoxing College of Arts and Sciences, Shaoxing 312000, China; Materials Physics and Equipments Institute of Shaoxing University, Shaoxing 312000, China
Abstract The N-dimensional Schr?dinger 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 to solve the Schr?dinger equation may serve as a substitute for the standard functional, analytical approach also in lower dimensions.
Received: 25 July 2004
Revised: 01 November 2004
Accepted manuscript online:
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