Casimir interactions of an object inside a spherical metal shell

Saad Zaheer 1, Sahand Jamal Rahi 1, Thorsten Emig 2, 3, Robert L. Jaffe 1, 4

Physical Review A: Atomic, Molecular and Optical Physics 81 (2009) 030502

We investigate the electromagnetic Casimir interactions of an object contained within an otherwise empty, perfectly conducting spherical shell. For a small object we present analytical calculations of the force, which is directed away from the center of the cavity, and the torque, which tends to align the object opposite to the preferred alignment outside the cavity. For a perfectly conducting sphere as the interior object, we compute the corrections to the proximity force approximation (PFA) numerically. In both cases the results for the interior configuration match smoothly onto those for the corresponding exterior configuration.

  • 1. Department of Physics,
    Massachusetts Institute of Technology
  • 2. Institut für Theoretische Physik,
    Universität zu Köln
  • 3. Laboratoire de Physique Théorique et Modèles Statistiques (LPTMS),
    CNRS : UMR8626 – Université Paris XI - Paris Sud
  • 4. Department of Physics, Center for Theoretical Physics,
    Massachussetts Institute of Technology (MIT)