Exact solutions of N-dimensional harmonic oscillator via Laplace transformation

• 来源期刊: 中国物理(英文版)
• 关键词: bound state harmonic oscillator Laplace transformation
• 年，卷（期）: 2005,（6）
• 页码范围: 1075-1076
• 页数: 2页
• 语种: 英文

摘要

The N-dimensional Schrodinger 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 Schrodinger equation may serve as a substitute for the standard functional, analytical approach also in lower dimensions.