Casimir Surface Force on a Dilute Dielectric Ball
Iver Brevik, Valery Marachevsky
Abstract
The Casimir surface force density F on a dielectric dilute spherical ball of radius a, surrounded by a vacuum, is calculated at zero temperature. We treat (n-1) (n being the refractive index) as a small parameter. The dispersive properties of the material are taken into account by adopting a simple dispersion relation, involving a sharp high frequency cutoff at omega = omega0. For a nondispersive medium there appears (after regularization) a finite, physical, force Fnondisp which is repulsive. By means of a uniform asymptotic expansion of the Riccati-Bessel functions we calculate Fnondisp up to the fourth order in 1/nu. For a dispersive medium the main part of the force Fdisp is also repulsive. The dominant term in Fdisp is proportional to (n-1)2omega03/a, and will under usual physical conditions outweigh Fnondisp by several orders of magnitude.
Create a lesson
Related papers
Heavy-Heavy-Light-Light correlators from holography on the worldsheet
Matías Colaneri, Diego H. Correa, Víctor I. Giraldo-Rivera et al.
Post-Newtonian theory in de Sitter and anti-de Sitter spacetimes
R. Loganayagam, Avi Wadhwa
Thermal AdS two-point functions and loop induced effective one-point vertices
Astha Kakkar
Giant Wilson loops from Fredholm determinants
Ludvig Chen, Victor Mishnyakov, Konstantin Zarembo
Degeneracy graph determinants and higher-dimensional Young diagrams
Sanjaye Ramgoolam, Michał Studziński
Black hole cohomologies in N=4 SYM
Seunggyu Kim, Jehyun Lee, Siyul Lee et al.