Casimir energy for spinor fields with δ-shell potentials
Sign Up to like & getrecommendations! Published in 2023 at "Journal of Physics A: Mathematical and Theoretical"
DOI: 10.1088/1751-8121/acd892
Abstract: This work analyzes the Casimir energy of a massive spinor field propagating in flat space endowed with a spherically symmetric δ-function potential. By utilizing the spectral zeta function regularization method, the Casimir energy is evaluated… read more here.
Keywords: casimir energy; spinor fields; energy; shell potentials ... See more keywords
Casimir energy for concentric δ−δ′ spheres
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review D"
DOI: 10.1103/physrevd.103.045005
Abstract: We study the vacuum interaction of a scalar field and two concentric spheres defined by a singular potential on their surfaces. The potential is a linear combination of the Dirac $\ensuremath{\delta}$ and its derivative. The… read more here.
Keywords: casimir energy; delta; concentric spheres; energy ... See more keywords
Casimir energy of Sierpinski triangles
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DOI: 10.1103/physrevd.96.105010
Abstract: Using scaling arguments and the property of self-similarity we derive the Casimir energies of Sierpinski triangles and Sierpinski rectangles. The Hausdorff-Besicovitch dimension (fractal dimension) of the Casimir energy is introduced and the Berry-Weyl conjecture is… read more here.
Keywords: casimir energy; sierpinski triangles; energy sierpinski; energy ... See more keywords
Casimir energy calculation for massive scalar field on spherical surfaces: an alternative approach
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DOI: 10.1139/cjp-2017-0722
Abstract: In this study, the Casimir energy for massive scalar field with periodic boundary condition was calculated on spherical surfaces with S1, S2, and S3 topologies. To obtain the Casimir energy on a spherical surface, the… read more here.
Keywords: massive scalar; energy; casimir energy; calculation ... See more keywords
One-loop correction to the Casimir energy in Lifshitz-like theory
Sign Up to like & getrecommendations! Published in 2021 at "International Journal of Geometric Methods in Modern Physics"
DOI: 10.1142/s0219887821502042
Abstract: In this paper, Radiative Correction (RC) to the Casimir energy was computed for the self-interacting massive/massless Lifshitz-like scalar field, confined between a pair of plates with Dirichlet and Mixed boundary conditions in 3 + 1… read more here.
Keywords: casimir energy; correction casimir; lifshitz like; energy ... See more keywords
Remarks on Some Results Related to the Thermal Casimir Effect in Einstein and Closed Friedmann Universes with a Cosmic String
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DOI: 10.3390/universe7070232
Abstract: In this paper, we present a review of some recent results concerning the thermal corrections to the Casimir energy of massless scalar, electromagnetic, and massless spinor fields in the Einstein and closed Friedmann universes with… read more here.
Keywords: casimir energy; cosmic string; friedmann universes; energy ... See more keywords