Dynamical Casimir effect for a massless scalar field between two concentric spherical shells with mixed boundary conditions

F. Pascoal, L. C. Céleri, S. S. Mizrahi, M. H. Y. Moussa, and C. Farina
Phys. Rev. A 80, 012503 – Published 14 July 2009

Abstract

In this work we analyze the dynamical Casimir effect for a massless scalar field confined between two concentric spherical shells considering mixed boundary conditions. We thus generalize a previous result in literature [Phys. Rev. A 78, 032521 (2008)], where the same problem is approached for the field constrained to the Dirichlet-Dirichlet boundary conditions. A general expression for the average number of particle creation is deduced considering an arbitrary law of radial motion of the spherical shells. This expression is then applied to harmonic oscillations of the shells, and the number of particle production is analyzed and compared with the results previously obtained under Dirichlet-Dirichlet boundary conditions.

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  • Received 16 April 2009

DOI:https://doi.org/10.1103/PhysRevA.80.012503

©2009 American Physical Society

Authors & Affiliations

F. Pascoal1, L. C. Céleri2, S. S. Mizrahi3, M. H. Y. Moussa1, and C. Farina4

  • 1Instituto de Física, Universidade de São Paulo, Caixa Postal 369, 13566-590 São Carlos, SP, Brazil
  • 2Centro de Ciências Naturais e Humanas, Universidade Federal do ABC, R. Santa Adélia 166, Santo André 09210-170, SP, Brazil
  • 3Departamento de Física, Universidade Federal de São Carlos, Via Washington Luis, km 235, São Carlos 13565-905, SP, Brazil
  • 4Instituto de Física, Universidade Federal do Rio de Janeiro, Caixa Postal 68528, 21945-970 Rio de Janeiro, RJ, Brazil

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Vol. 80, Iss. 1 — July 2009

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