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Surface screening in the Casimir force

2005/09/13 by Ana M. Contreras-Reyes, W. Luis Mochán · 50 citations
Engineering · Mathematics · Physics and Astronomy · #Casimir effect #Casimir pressure #Classical mechanics #Dispersion (optics) #Electron #Geometry #Jellium #London dispersion force #Mathematical analysis #Mathematics #Noncommutative and Quantum Gravity Theories #Optics #Physics #Quantum Electrodynamics and Casimir Effect #Quantum electrodynamics #Quantum mechanics #Sign (mathematics) #Spatial dispersion #Surface (topology) #Thermal Radiation and Cooling Technologies #quant-ph #van der Waals force

paper · pdf · doi:10.1103/physreva.72.034102

published in Physical Review A 72(3) (American Physical Society) · 5 pages, 2 figures

openalex publication_date 2005/09/13 · arxiv created 2005/09/27 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We calculate the corrections to the Casimir force between two metals due to the spatial dispersion of their response functions. We employ model-independent expressions for the force in terms of the optical coefficients. We express the nonlocal corrections to the Fresnel coefficients employing the surface d_\ensuremath⊥ parameter, which accounts for the distribution of the surface screening charge. Within a self-consistent jellium calculation, spatial dispersion increases the Casimir force significatively for small separations. The nonlocal correction has the opposite sign than previously predicted employing hydrodynamic models and assuming abruptly terminated surfaces.

Citations