中国物理B ›› 1998, Vol. 7 ›› Issue (3): 183-189.doi: 10.1088/1004-423X/7/3/004

• CLASSICAL AREAS OF PHENOMENOLOGY • 上一篇    下一篇

COHERENT STATES FOR ONE-DIMENSIONAL INFINITELY DEEP SQUARE POTENTIAL WELL

倪致祥   

  1. Department of Physics, Fuyang Teachers College, Fuyang 236032, China; East China Institute for Theoretical Physics, Shanghai 200237, China
  • 收稿日期:1997-04-21 出版日期:1998-03-20 发布日期:1998-03-20
  • 基金资助:
    Project supported by the National Natural Science Foundation of China and the Educational Commission of Anhui Province.

COHERENT STATES FOR ONE-DIMENSIONAL INFINITELY DEEP SQUARE POTENTIAL WELL

NI ZHI-XIANG (倪致祥)   

  1. Department of Physics, Fuyang Teachers College, Fuyang 236032, China; East China Institute for Theoretical Physics, Shanghai 200237, China
  • Received:1997-04-21 Online:1998-03-20 Published:1998-03-20
  • Supported by:
    Project supported by the National Natural Science Foundation of China and the Educational Commission of Anhui Province.

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摘要： The energy spectrum-generating algebra for one-dimensional infinitely deep square potential well is constructed by using an additional phase variable, and a class of sets of the annihilation operator coherent states are introduced. These sets are strongly continuous in their parameter on the whole complex plane and satisfy the overcompleteness relation in a curved parameter space with rotational symmetry.

Abstract: The energy spectrum-generating algebra for one-dimensional infinitely deep square potential well is constructed by using an additional phase variable, and a class of sets of the annihilation operator coherent states are introduced. These sets are strongly continuous in their parameter on the whole complex plane and satisfy the overcompleteness relation in a curved parameter space with rotational symmetry.

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

  • 03.65.Ge
03.65.Fd (Algebraic methods)