Dynamical Casimir effect with Dirichlet and Neumann boundary conditions

2003/08/22 by D. T. Alves, D T Alves, C. Farina +3 · 2 citations
Physics and Astronomy · #Dust and Plasma Wave Phenomena #Noncommutative and Quantum Gravity Theories #Quantum Electrodynamics and Casimir Effect #hep-th #quant-ph

paper · pdf · doi:10.1088/0305-4470/36/44/011

published as J.Phys.A36:11333-11342,2003 · 12 pages

arxiv created 2003/08/22 · openalex publication_date 2003/10/22 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/04

Abstract

We derive the radiation pressure force on a nonrelativistic moving plate in 1 + 1 dimensions. We assume that a massless scalar field satisfies either Dirichlet or Neumann boundary condition (BC) at the instantaneous position of the plate. We show that when the state of the field is invariant under time translations, the results derived for Dirichlet and Neumann BC are equal. We discuss the force for a thermal field state as an example for this case. On the other hand, a coherent state introduces a phase reference, and the two types of BC lead to different results.

Citations

• The Casimir effect
• Motion Induced Radiation from a Vibrating Cavity
• New Developments in the Casimir Effect
• Influence of two parallel plates on atomic levels
• Particle creation by black holes

Cited by

• Exact closed-form analytical solutions for vibrating cavities
• The dynamical Casimir effect in a periodically changing domain: a dynamical systems approach