منابع مشابه
Gluing Formula for Casimir Energies
We provide a completely new perspective for the analysis of Casimir forces in very general piston configurations. To this end, in order to be self-contained, we prove a “gluing formula” well known in mathematics and relate it with Casimir forces in piston configurations. At the center of our description is the Dirichlet-to-Neumann operator, which encodes all the information about those forces. ...
متن کاملThe Generalized Abel - Plana Formula . Applications to Bessel Functions and Casimir Effect
One of the most efficient methods to obtain the vacuum expectation values for the physical observables in the Casimir effect is based on using the Abel-Plana summation formula. This allows to derive the regularized quantities by manifestly cutoff independent way and to present them in the form of strongly convergent integrals. However the application of Abel-Plana formula in usual form is restr...
متن کاملThe generalized Abel-Plana formula with applications to Bessel functions and Casimir effect
One of the most efficient methods for the evaluation of the vacuum expectation values for physical observables in the Casimir effect is based on using the Abel-Plana summation formula. This enables to derive the renormalized quantities in a manifestly cutoff independent way and to present them in the form of strongly convergent integrals. However, applications of the Abel-Plana formula, in its ...
متن کاملSUBSTRATUM RADIATION AND CASIMIR EFFECT
A heuristic way to calculate the approximate value of the Casimir force is introduced
متن کاملCasimir Effect : The Classical Limit
We analyze the high temperature (or classical) limit of the Casimir effect (for various massless fields). A simple physical argument suggests that the Casimir energy (as opposed to the Casimir free energy) should vanish in the classical limit. We check the validity of this argument for massless scalar field confined in a cavity with boundaries of arbitrary shape, using path integral formalism. ...
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ژورنال
عنوان ژورنال: Journal of Physics: Conference Series
سال: 2009
ISSN: 1742-6596
DOI: 10.1088/1742-6596/161/1/012020