The low temperature corrections to the Casimir force between a sphere and a plane

Abstract

We calculate the low temperature corrections to the free energy for a sphere in front of a plane. First, the scalar field obeying Dirichet or Neumann boundary conditions is considered. Second, the electromagnetic field is studied, the sphere being perfectly conducting and being a dielectric ball with both, constant permittivity and permittivity of the plasma model.Comment: Submitted to the proceedings of the Workshop "Cosmology, Quantum Vacuum and Zeta Functions", Universitat Aut\`onoma de Barcelona, 8-10th March, 2010; 12 pages, 5 figure