An Exact Evaluation Of The Casimir Energy In Two Planar Models

Journal Article · Tue Jul 07 00:00:00 EDT 2009 · AIP Conference Proceedings

DOI:https://doi.org/10.1063/1.3192280· OSTI ID:21344268

Kamath, S G ^[1]

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1. Department of Mathematics, Indian Institute of Technology Madras, Chennai 600 036 (India)

The method of images is used to calculate the Casimir energy in Euclidean space with Dirichlet boundary conditions for two planar models, namely: i. the non-relativistic Landau problem for a charged particle of mass m for which - irrespective of the sign of the charge - the energy is negative, and ii. the model of a real, massive, noninteracting relativistic scalar field theory in 2+1 dimensions, for which the Casimir energy density is non-negative and is expressed in terms of the Lerch transcendent PHI(lambda,n,(1/2)) and thepolylogarithm Li{sub n}(lambda) with 0<lambda<1 and n = 2, 3.

• OSTI ID: 21344268
• Journal Information: AIP Conference Proceedings, Vol. 1150, Issue 1; Conference: 3. international meeting on frontiers in physics, Kuala Lumpur (Malaysia), 12-16 Jan 2009; Other Information: DOI: 10.1063/1.3192280; (c) 2009 American Institute of Physics; ISSN 0094-243X
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOUNDARY CONDITIONS
CASIMIR EFFECT
CHARGED PARTICLES
DIRICHLET PROBLEM
ENERGY DENSITY
EUCLIDEAN SPACE
GREEN FUNCTION
LAGRANGIAN FIELD THEORY
MATHEMATICAL MODELS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM ELECTRODYNAMICS
RELATIVISTIC RANGE
SCALAR FIELDS
BOUNDARY-VALUE PROBLEMS
DIFFERENTIAL EQUATIONS
ELECTRODYNAMICS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
FUNCTIONS
MATHEMATICAL SPACE
QUANTUM FIELD THEORY
RIEMANN SPACE
SPACE