2024/09/19 by Bruno Cardin Guntsche, C. D. Fosco, Guntsche, B. C. +1
Mathematics · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Quantum chaos and dynamical systems #Quantum, superfluid, helium dynamics #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2409.13048
openalex publication_date 2024/09/19 · openalex created_date 2024/10/26 · openalex updated_date 2026/07/28
We study the Dynamical Casimir Effect (DCE) for a real scalar field φ in d+1 dimensions, in the presence of a mirror that imposes Dirichlet boundary conditions and undergoes time-dependent motion or deformation. Using a perturbative approach, we expand in powers of the deviation of the mirror's surface Σ from a hyperplane, up to fourth order. General expressions for the probability of pair creation induced by motion are derived, and we analyze the impact of space-time dimensionality as well as of the non-linear effects introduced by the fourth-order terms.