中国物理B ›› 2005, Vol. 14 ›› Issue (11): 2170-2175.doi: 10.1088/1009-1963/14/11/005

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

马余全, 张晋, 陈永康, 戴宏   

  1. Department of Physics, Yunnan University, Kunming 650091,China
  • 收稿日期:2005-05-24 修回日期:2005-07-11 出版日期:2005-11-20 发布日期:2005-11-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China (Grant No 60261004) and Yunnan Province Science Foundation (Grant No 2002E0008M).

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

Ma Yu-Quan (马余全), Zhang Jin (张晋), Chen Yong-Kang (陈永康), Dai Hong (戴宏)   

  1. Department of Physics, Yunnan University, Kunming 650091, China
  • Received:2005-05-24 Revised:2005-07-11 Online:2005-11-20 Published:2005-11-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China (Grant No 60261004) and Yunnan Province Science Foundation (Grant No 2002E0008M).

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摘要： 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 \ge 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.

关键词: D-dimensional harmonic oscillator, coherent state, path integral, propagator

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.

Key words: D-dimensional harmonic oscillator, coherent state, path integral, propagator

中图分类号:  (Solutions of wave equations: bound states)

  • 03.65.Ge
03.65.Ca (Formalism)