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Analytic Coherent States for Generalized Potentials

  • Michael Martin Nieto
  • L. M. SimmonsJr.

Abstract

This is work(1,2) which I (MMN) and Mike Simmons have been doing at Los Alamos.† It’s hopefully going to be short, sweet, and to the point. I have divided the talk into sections. In Section 2 I’m going to review in some detail the properties of the coherent states for the harmonic oscillator. Then (in Section 3) I’m going to describe what I will call the “classical motion generalization.” By that I mean I will define “coherent states” not only for the simple harmonic oscillator but for particles in different potentials. These coherent states should follow the classical motion of a particle in such a classical potential. Finally, to show that our proposed generalization is indeed a good one, I am going to present in Section 4 a specific example which we have analytically beaten to death, and then close with a discussion.

Keywords

Harmonic Oscillator Coherent State Classical Motion Associate Legendre Function Simple Harmonic Oscillator 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References and Notes

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Copyright information

© Springer Science+Business Media New York 1980

Authors and Affiliations

  • Michael Martin Nieto
    • 1
  • L. M. SimmonsJr.
    • 1
  1. 1.Theoretical Division, Los Alamos Scientific LaboratoryUniversity of CaliforniaLos AlamosUSA

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