Uncertainty principle in a cavity at finite temperature

A. P. C. Malbouisson
Phys. Rev. A 88, 014101 – Published 17 July 2013

Abstract

We employ a dressed-state approach to perform a study on the behavior of the uncertainty principle for a system in a heated cavity. We find, in a small cavity for a given temperature, an oscillatory behavior of the momentum-coordinate product (Δp)(Δq), which attains periodically finite absolute minimum (maximum) values, no matter how large the elapsed time is. This behavior is in sharp contrast to what happens in free space, where the product (Δp)(Δq) tends asymptotically, for each temperature, to a constant value, independent of time.

  • Figure
  • Received 27 March 2013

DOI:https://doi.org/10.1103/PhysRevA.88.014101

©2013 American Physical Society

Authors & Affiliations

A. P. C. Malbouisson*

  • Centro Brasileiro de Pesquisas Físicas/MCTI, Rio de Janeiro, RJ 22290-180, Brazil

  • *E-mail address: adolfo@cbpf.br

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Vol. 88, Iss. 1 — July 2013

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