Casimir piston for massless scalar fields in three dimensions
Abstract
We study the Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in a threedimensional cavity with sides of arbitrary lengths a, b, and c where a is the plate separation. We obtain an exact expression for the Casimir force on the piston valid for any values of the three lengths. As in the electromagnetic case with perfectconductor conditions, we find that the Casimir force is negative (attractive) regardless of the values of a, b, and c. Though cases exist where the interior contributes a positive (repulsive) Casimir force, the total Casimir force on the piston is negative when the exterior contribution is included. We also obtain an alternative expression for the Casimir force that is useful computationally when the plate separation a is large.
 Authors:
 Physics Department, Bishop's University, 2600 College Street, Sherbrooke, Quebec, J1M0C8 (Canada)
 Publication Date:
 OSTI Identifier:
 20935271
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.75.105012; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BOUNDARY CONDITIONS; CASIMIR EFFECT; PISTONS; SCALAR FIELDS; THREEDIMENSIONAL CALCULATIONS
Citation Formats
Edery, Ariel. Casimir piston for massless scalar fields in three dimensions. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.105012.
Edery, Ariel. Casimir piston for massless scalar fields in three dimensions. United States. doi:10.1103/PHYSREVD.75.105012.
Edery, Ariel. Tue .
"Casimir piston for massless scalar fields in three dimensions". United States.
doi:10.1103/PHYSREVD.75.105012.
@article{osti_20935271,
title = {Casimir piston for massless scalar fields in three dimensions},
author = {Edery, Ariel},
abstractNote = {We study the Casimir piston for massless scalar fields obeying Dirichlet boundary conditions in a threedimensional cavity with sides of arbitrary lengths a, b, and c where a is the plate separation. We obtain an exact expression for the Casimir force on the piston valid for any values of the three lengths. As in the electromagnetic case with perfectconductor conditions, we find that the Casimir force is negative (attractive) regardless of the values of a, b, and c. Though cases exist where the interior contributes a positive (repulsive) Casimir force, the total Casimir force on the piston is negative when the exterior contribution is included. We also obtain an alternative expression for the Casimir force that is useful computationally when the plate separation a is large.},
doi = {10.1103/PHYSREVD.75.105012},
journal = {Physical Review. D, Particles Fields},
number = 10,
volume = 75,
place = {United States},
year = {Tue May 15 00:00:00 EDT 2007},
month = {Tue May 15 00:00:00 EDT 2007}
}

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