Generalized coherent states and quantum-classical correspondence

Ronald F. Fox and Mee Hyang Choi
Phys. Rev. A 61, 032107 – Published 14 February 2000
PDFExport Citation

Abstract

Gaussian Klauder coherent states are constructed for the harmonic oscillator, the planar rotor, and the particle in a box. The standard harmonic oscillator coherent states are given by expansions in the eigenstates of the Hamiltonian in terms of a complex parameter α. When the complex modulus of α is large, these states are identical in behavior with a particular choice of Gaussian Klauder coherent state. When the angular momentum of a planar rotor is large compared with Planck’s constant, the angle distribution associated with a Gaussian Klauder coherent state for this case remains sharply localized for many rotations. Similarly, for the particle in a box, it is possible to choose parameters in the Gaussian Klauder coherent state so that a localized particle bounces back and forth at constant velocity between the walls of the box for many periods without significant delocalization. Buried in this behavior is the Fourier series for a triangle wave. These examples show how Gaussian Klauder coherent states are of utility in understanding quantum-classical correspondence.

  • Received 5 August 1999

DOI:https://doi.org/10.1103/PhysRevA.61.032107

©2000 American Physical Society

Authors & Affiliations

Ronald F. Fox and Mee Hyang Choi

  • School of Physics, Georgia Institute of Technology, Atlanta, Georgia 30332-0430

References (Subscription Required)

Click to Expand
Issue

Vol. 61, Iss. 3 — March 2000

Reuse & Permissions
Access Options
Author publication services for translation and copyediting assistance advertisement

Authorization Required


×
×

Images

×

Sign up to receive regular email alerts from Physical Review A

Log In

Cancel
×

Search


Article Lookup

Paste a citation or DOI

Enter a citation
×