Abstract We construct a general form of propagator in arbitrary dimensions and give an exact wavefunction of a time-dependent forced harmonic oscillator in D (D $\geq$ 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.
Received: 24 May 2005
Revised: 11 July 2005
Accepted manuscript online:
Fund: Project supported by the National Natural Science Foundation of China (Grant No 60261004) and Yunnan Province Science Foundation (Grant No 2002E0008M).
Cite this article:
Ma Yu-Quan (马余全), Zhang Jin (张晋), Chen Yong-Kang (陈永康), Dai Hong (戴宏) Generalized path-integral solution and coherent states of the harmonic oscillator in D-dimensions 2005 Chinese Physics 14 2170
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