학술논문

Electromagnetic Casimir Forces of Parabolic Cylinder and Knife-Edge Geometries
Document Type
Working Paper
Source
Phys.Rev.D83:125007,2011
Subject
Quantum Physics
Condensed Matter - Statistical Mechanics
High Energy Physics - Theory
Language
Abstract
An exact calculation of electromagnetic scattering from a perfectly conducting parabolic cylinder is employed to compute Casimir forces in several configurations. These include interactions between a parabolic cylinder and a plane, two parabolic cylinders, and a parabolic cylinder and an ordinary cylinder. To elucidate the effect of boundaries, special attention is focused on the "knife-edge" limit in which the parabolic cylinder becomes a half-plane. Geometrical effects are illustrated by considering arbitrary rotations of a parabolic cylinder around its focal axis, and arbitrary translations perpendicular to this axis. A quite different geometrical arrangement is explored for the case of an ordinary cylinder placed in the interior of a parabolic cylinder. All of these results extend simply to nonzero temperatures.
Comment: 17 pages, 10 figures, uses RevTeX 4