Singular perturbations with boundary conditions and the Casimir effect in the half space

DOI10.1063/1.3397551zbMath1311.47030arXiv1004.0151OpenAlexW3101032398MaRDI QIDQ5251273

Sergio Zerbini, Mauro Spreafico, Guido Cognola, Sergio A. Albeverio

Publication date: 19 May 2015

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

Full work available at URL: https://arxiv.org/abs/1004.0151

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Operations with distributions and generalized functions (46F10) Linear symmetric and selfadjoint operators (unbounded) (47B25) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Determinants and determinant bundles, analytic torsion (58J52) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Casimir effect in quantum field theory (81T55)

Related Items (5)

Local Casimir effect for a scalar field in presence of a point impurity ⋮ On the Casimir effect with \(\delta \)-like potentials, and a recent paper by K. Ziemian (Ann. Henri Poincaré, 2021) ⋮ Unbounded graph-Laplacians in energy space, and their extensions ⋮ The Casimir energy anomaly for a point interaction ⋮ Series expansion for the Fourier transform of a rational function in three dimensions

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