Wave packets in discrete quantum phase space

Jang Young Bang and Micheal S. Berger
Phys. Rev. A 80, 022105 – Published 4 August 2009

Abstract

The properties of quantum mechanics with a discrete phase space are studied. The minimum uncertainty states are found and these states become the Gaussian wave packets in the continuum limit. With a suitably chosen Hamiltonian that gives free particle motion in the continuum limit, it is found that full or approximate periodic time evolution can result. This represents an example of revivals of wave packets that in the continuum limit is the familiar free particle motion on a line. Finally we examine the uncertainty principle for discrete phase space and obtain the correction terms to the continuum case.

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  • Received 22 April 2009

DOI:https://doi.org/10.1103/PhysRevA.80.022105

©2009 American Physical Society

Authors & Affiliations

Jang Young Bang* and Micheal S. Berger

  • Department of Physics, Indiana University, Bloomington, Indiana 47405, USA

  • *jybang@indiana.edu
  • berger@indiana.edu

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Issue

Vol. 80, Iss. 2 — August 2009

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