Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2008-10-29
The Casimir Effect and Cosmology, A volume in honour of Professor Iver H. Brevik on the occasion of his 70th birthday, Tomsk 2
Physics
High Energy Physics
High Energy Physics - Theory
19 pages, 2 figures, to appear in anniversary TSPU volume on occasion of 70-th birthday by Prof. I. Brevik, Editor Prof. S.D.
Scientific paper
The vacuum expectation values of the field squared and the energy-momentum tensor are investigated for a scalar field with Dirichlet boundary conditions and for the electromagnetic field inside a wedge with a coaxial cylindrical boundary. In the case of the electromagnetic field perfectly conducting boundary conditions are assumed on the bounding surfaces. By using the Abel-Plana-type formula for the series over the zeros of the Bessel function, the vacuum expectation values are presented in the form of the sum of two terms. The first one corresponds to the geometry without a cylindrical boundary and the second one is induced by the presence of the cylindrical shell. The additional vacuum forces acting on the wedge sides due the presence of the cylindrical boundary are evaluated and it is shown that these forces are attractive for both scalar and electromagnetic fields.
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