Functional determinants and Casimir energy in higher dimensional spherically symmetric background potentials

DOI10.1088/1751-8113/49/27/275203zbMath1344.81136arXiv1602.04724OpenAlexW3100938027MaRDI QIDQ3186290

Guglielmo Fucci, Klaus Kirsten

Publication date: 9 August 2016

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1602.04724

zbMATH Keywords

Casimir energyspectral zeta functionfunctional determinantspherically symmetric potentials

Mathematics Subject Classification ID

Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Selberg zeta functions and regularized determinants; applications to spectral theory, Dirichlet series, Eisenstein series, etc. (explicit formulas) (11M36) Casimir effect in quantum field theory (81T55)

Related Items (4)

Casimir pistons with generalized boundary conditions: a step forward ⋮ Casimir energy for spinor fields with δ-shell potentials ⋮ Vacuum energy of scalar fields on spherical shells with general matching conditions ⋮ Fermionic condensate and the Casimir effect in cosmic string spacetime

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