Wightman function and scalar Casimir densities for a wedge with two cylindrical boundaries

Journal Article · Tue Jul 15 04:00:00 EDT 2008 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2008.03.001· OSTI ID:21163710

Saharian, A A ^[1]; Tarloyan, A S ^[1]

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1. Department of Physics, Yerevan State University, 1 Alex Manoogian Street, 0025 Yerevan (Armenia)

Wightman function, the vacuum expectation values of the field square and the energy-momentum tensor are investigated for a massive scalar field with general curvature coupling parameter inside a wedge with two coaxial cylindrical boundaries. It is assumed that the field obeys Dirichlet boundary condition on bounding surfaces. The application of a variant of the generalized Abel-Plana formula enables to extract from the expectation values the contribution corresponding to the geometry of a wedge with a single shell and to present the interference part in terms of exponentially convergent integrals. The local properties of the vacuum are investigated in various asymptotic regions of the parameters. The vacuum forces acting on the boundaries are presented as the sum of self-action and interaction terms. It is shown that the interaction forces between the separate parts of the boundary are always attractive. The generalization to the case of a scalar field with Neumann boundary condition is discussed.

• OSTI ID: 21163710
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 7 Vol. 323; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ASYMPTOTIC SOLUTIONS
BOUNDARY CONDITIONS
CASIMIR EFFECT
ENERGY-MOMENTUM TENSOR
FUNCTIONS
GEOMETRY
INTERFERENCE
SCALAR FIELDS