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Advances in the Casimir Effect$
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Michael Bordag, Galina Leonidovna Klimchitskaya, Umar Mohideen, and Vladimir Mikhaylovich Mostepanenko

Print publication date: 2009

Print ISBN-13: 9780199238743

Published to Oxford Scholarship Online: September 2009

DOI: 10.1093/acprof:oso/9780199238743.001.0001

ContentsFRONT MATTER

The Lifshitz Theory of The Van Der Waals and Casimir Forces Between Plane Dielectrics

Chapter:
(p. 281 ) 12 THE LIFSHITZ THEORY OF THE VAN DER WAALS AND CASIMIR FORCES BETWEEN PLANE DIELECTRICS
Source:
Advances in the Casimir Effect
Author(s):

M. Bordag

G. L. Klimchitskaya

U. Mohideen

V. M. Mostepanenko

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199238743.003.0012

Starting with this chapter, the book goes on to deal with the Casimir effect for real bodies made of various materials rather than idealized boundaries. It presents Lifshitz theory, which provides a unified description of both the van der Waals and the Casimir interaction between planar dielectrics. The chapter contains various formulations of the Lifshitz theory as applied to planar, stratified dielectric media at both zero and nonzero temperatures. As an illustration, computational results for various dielectric materials are given. The consistency of the theory with the requirements of thermodynamics and its application region are discussed. The Lifshitz formula for anisotropic plates is presented as well as Lifshitz-type formulas for radiative heat transfer. Problems arising for polar dielectrics are considered.

Keywords:   Lifshitz theory, dielectrics, imaginary frequencies, real frequencies, stratified media, free energy, static conductivity, polar dielectrics, anisotropic materials, spatial dispersion

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