English

Dynamical Casimir effect with Dirichlet and Neumann boundary conditions

High Energy Physics - Theory 2008-11-26 v1 Quantum Physics

Abstract

We derive the radiation pressure force on a non-relativistic moving plate in 1+1 dimensions. We assume that a massless scalar field satisfies either Dirichlet or Neumann boundary conditions (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.

Keywords

Cite

@article{arxiv.hep-th/0308157,
  title  = {Dynamical Casimir effect with Dirichlet and Neumann boundary conditions},
  author = {D. T. Alves and C. Farina and P. A. Maia Neto},
  journal= {arXiv preprint arXiv:hep-th/0308157},
  year   = {2008}
}

Comments

12 pages

R2 v1 2026-07-22T15:18:47.283Z