Casimir effect for smooth potentials on spherically symmetric pistons

DOI10.1088/1751-8113/48/49/495201zbMath1330.81174OpenAlexW2267838419MaRDI QIDQ3462557

Klaus Kirsten, Pedro Morales-Almazan

Publication date: 15 January 2016

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

Full work available at URL: https://doi.org/10.1088/1751-8113/48/49/495201

zbMATH Keywords

zeta functionspherical shellsmooth potentialCasimir effect

Mathematics Subject Classification ID

Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Casimir effect in quantum field theory (81T55)

Cites Work

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• The Casimir effect for conical pistons
• Casimir pistons with general boundary conditions
• Finite temperature Casimir effect in Kaluza-Klein spacetime
• Zeta function regularization of path integrals in curved spacetime
• The spectral zeta function for Laplace operators on warped product manifolds of the type \(I \times _{f } N\)
• Pistons Modelled by Potentials
• Casimir Force on a Piston in Randall–Sundrum Models
• Multidimensional cut-off technique, odd-dimensional Epstein zeta functions and Casimir energy of massless scalar fields
• Functional determinants for general Sturm–Liouville problems
• Casimir effect in the presence of external fields
• Casimir energies in spherically symmetric background potentials revisited
• The Influence of Retardation on the London-van der Waals Forces
• Quantized bulk scalar fields in the Randall-Sundrum brane model
• New developments in the Casimir effect