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Coherent states: Theory and some applications

Wei-Min Zhang*, Da Hsuan Feng†, and Robert Gilmore

Wei-Min Zhang*

  • Institute for Nuclear Theory, Department of Physics, FM-15, University of Washington, Seattle, Washington 98195 and Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104-9984

Da Hsuan Feng† and Robert Gilmore

  • Department of Physics and Atmospheric Science, Drexel University, Philadelphia, Pennsylvania 19104-9984

  • *Present address. Bitnet address: WZhang @ UWAPHAST.
  • †Bitnet address: Feng @ DUVM.
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Rev. Mod. Phys. 62, 867 – Published 1 October, 1990

DOI: https://doi.org/10.1103/RevModPhys.62.867

Abstract

In this review, a general algorithm for constructing coherent states of dynamical groups for a given quantum physical system is presented. The result is that, for a given dynamical group, the coherent states are isomorphic to a coset space of group geometrical space. Thus the topological and algebraic structure of the coherent states as well as the associated dynamical system can be extensively discussed. In addition, a quantum-mechanical phase-space representation is constructed via the coherent-state theory. Several useful methods for employing the coherent states to study the physical phenomena of quantum-dynamic systems, such as the path integral, variational principle, classical limit, and thermodynamic limit of quantum mechanics, are described.

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Rev. Mod. Phys. 62, 867– Published 1 October, 1990

    © 1990 American Physical Society

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