3 research outputs found
Casimir energy of a compact cylinder under the condition
The Casimir energy of an infinite compact cylinder placed in a uniform
unbounded medium is investigated under the continuity condition for the light
velocity when crossing the interface. As a characteristic parameter in the
problem the ratio is used, where and
are, respectively, the permittivity and permeability of the material
making up the cylinder and and are those for the
surrounding medium. It is shown that the expansion of the Casimir energy in
powers of this parameter begins with the term proportional to . The
explicit formulas permitting us to find numerically the Casimir energy for any
fixed value of are obtained. Unlike a compact ball with the same
properties of the materials, the Casimir forces in the problem under
consideration are attractive. The implication of the calculated Casimir energy
in the flux tube model of confinement is briefly discussed.Comment: REVTeX, 12 pages, 1 figure in a separate fig1.eps file, 1 table;
minor corrections in English and misprints; version to be published in Phys.
Rev. D1
QED vacuum between an unusual pair of plates
We consider the photon field between an unusual configuration of infinite
parallel plates: a perfectly conducting plate and an
infinitely permeable one . After quantizing the vector potential
in the Coulomb gauge, we obtain explicit expressions for the vacuum expectation
values of field operators of the form and . These field correlators allow us to reobtain the Casimir
effect for this set up and to discuss the light velocity shift caused by the
presence of plates (Scharnhorst effect \cite{Scharnhorst,Barton,BarScharn}) for
both scalar and spinor QED.Comment: Latex, 16 pages, no figure