Casimir energy of a ball and cylinder in the zeta function technique

DOI10.1063/1.533091zbMath0969.81065arXivhep-th/9812059OpenAlexW3106228778MaRDI QIDQ4498515

V. V. Nesterenko, Gaetano Lambiase, Michael Bordag

Publication date: 16 August 2000

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

Full work available at URL: https://arxiv.org/abs/hep-th/9812059

zbMATH Keywords

Bessel functionuniform asymptotic expansionelectromagnetic vacuum energy with boundary conditionsno exact divergenciesno renormalizationperfectly conducting shells

Mathematics Subject Classification ID

Electromagnetic interaction; quantum electrodynamics (81V10) Quantum optics (81V80)

Related Items (10)

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Cites Work

• Casimir energy for a massive fermionic quantum field with a spherical boundary
• Direct mode summation for the Casimir energy of a solid ball
• Zeta function of the Bessel operator on the negative real axis
• Sum rules for zeros of Bessel functions and an application to spherical Aharonov-Bohm quantum bags

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