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Quantum dissipative effects in moving mirrors: A functional approach

2007/05/31 by C. D. Fosco, Fernando C. Lombardo, F. C. Lombardo +2 · 1 citation
Mathematics · Physics and Astronomy · #Action (physics) #Advanced Thermodynamics and Statistical Mechanics #Classical mechanics #Computer science #Dissipative system #Effective action #Equations of motion #Euclidean geometry #Mathematics #Mechanical and Optical Resonators #Physics #Planar #Quantum #Quantum Electrodynamics and Casimir Effect #Quantum mechanics #Scalar (mathematics) #Scalar field #Semiclassical physics #hep-ph #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevd.76.085007

published as Phys.Rev.D76:085007,2007 · References added. Version to appear in Phys. Rev. D

arxiv created 2007/08/24 · openalex publication_date 2007/10/11 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We use a functional approach to study various aspects of the quantum effective dynamics of moving, planar, dispersive mirrors, coupled to scalar or Dirac fields, in different numbers of dimensions. We first compute the Euclidean effective action, and use it to derive the imaginary part of the ``in-out'' effective action. We also obtain, for the case of the real scalar field in 1+1 dimensions, the Schwinger-Keldysh effective action and a semiclassical Langevin equation that describes the motion of the mirror including noise and dissipative effects due to its coupling to the quantum fields.

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