ZERO-POINT ENERGY OF A DILUTE DIELECTRIC BALL IN THE MODE SUMMATION METHOD
نویسندگان
چکیده
منابع مشابه
Casimir energy of a dilute dielectric ball in the mode summation method
In the (ε1− ε2)–approximation the Casimir energy of a dilute dielectric ball is derived using a simple and clear method of the mode summation. The addition theorem for the Bessel functions enables one to present in a closed form the sum over the angular momentum before the integration over the imaginary frequencies. The linear in (ε1 − ε2) contribution into the vacuum energy is removed by an ap...
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General formalism of quantum field theory and addition theorem for Bessel functions are applied to derive formula for CasimirPolder energy of interaction between a polarizable particle and a dilute dielectric ball. The equivalence of dipole-dipole interaction and Casimir energy for dilute homogeneous dielectrics is shown. A novel method is used to derive Casimir energy of a dilute dielectric ba...
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The basic results in calculations of the thermodynamic functions of electromagnetic field in the background of a dilute dielectric ball at zero and finite temperature are presented. Summation over the angular momentum values is accomplished in a closed form by making use of the addition theorem for the relevant Bessel functions. The behavior of the thermodynamic characteristics in the low and h...
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Using the mode-by-mode summation technique the zero point energy of the electromagnetic field is calculated for the boundary conditions given on the surface of an infinite solid cylinder. It is assumed that the dielectric and magnetic characteristics of the material which makes up the cylinder (ε1, μ1) and of that which makes up the surroundings (ε2, μ2) obey the relation ε1μ1 = ε2μ2. With this...
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We apply general formalism of quantum field theory and addition theorem for Bessel functions to derive formula for the Casimir-Polder energy of interaction between a polarizable particle and a dilute dielectric ball and Casimir energy of a dilute dielectric ball. The correspondence between the Casimir-Polder formula and Casimir energy of a dilute dielectric ball is shown. Different approaches t...
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ژورنال
عنوان ژورنال: Modern Physics Letters A
سال: 2001
ISSN: 0217-7323,1793-6632
DOI: 10.1142/s0217732301005291