Casimir energy of smooth compact surfaces

Joseph P. Straley, Eugene B. Kolomeisky

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

We discuss the formalism of Balian and Duplantier [Balian and Duplantier, Ann. Phys. (NY) 104, 300 (1977)APNYA60003-491610.1016/0003-4916(77)90334-7; Balian and Duplantier, Ann. Phys. (NY) 112, 165 (1978)APNYA60003-491610.1016/ 0003-4916(78)90083-0] for the calculation of the Casimir energy for an arbitrary smooth compact surface and use it to give some examples: a finite cylinder with hemispherical caps, a torus, an ellipsoid of revolution, a cube with rounded corners and edges, and a drum made of disks and part of a torus. We propose a model function that approximately captures the shape dependence of the Casimir energy.

Original languageEnglish
Article number012514
JournalPhysical Review A - Atomic, Molecular, and Optical Physics
Volume90
Issue number1
DOIs
StatePublished - Jul 15 2014

ASJC Scopus subject areas

  • Atomic and Molecular Physics, and Optics

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