Generalized path-integral solution and coherent states of the harmonic oscillator in D-dimensions

• 来源期刊: 中国物理(英文版)
• 关键词: D-dimensional harmonic oscillator coherent state path integral propagator
• 年，卷（期）: 2005,（11）
• 页码范围: 2170-2175
• 页数: 6页
• 语种: 英文

摘要

We construct a general form of propagator in arbitrary dimensions and give an exact wavefunction of a timedependent forced harmonic oscillator in D(D≥1) dimensions. The coherent states, defined as the eigenstates of annihilation operator, of the D-dimensional harmonic oscillator are derived. These coherent states correspond to the minimum uncertainty states and the relation between them is investigated.