Dimensional reduction formulae for spectral traces and Casimir energies

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

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  • Alexander Strohmaier

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OriginalspracheEnglisch
Aufsatznummer66
Seitenumfang9
FachzeitschriftLetters in mathematical physics
Jahrgang114
Ausgabenummer3
PublikationsstatusVeröffentlicht - 24 Mai 2024

Abstract

This short letter considers the case of acoustic scattering by several obstacles in Rd+r for r,d≥1 of the form Ω×Rr, where Ω is a smooth bounded domain in Rd. As a main result, a von Neumann trace formula for the relative trace is obtained in this setting. As a special case, we obtain a dimensional reduction formula for the Casimir energy for the massive and massless scalar fields in this configuration Ω×Rr per unit volume in Rr.

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Dimensional reduction formulae for spectral traces and Casimir energies. / Strohmaier, Alexander.
in: Letters in mathematical physics, Jahrgang 114, Nr. 3, 66, 24.05.2024.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Strohmaier A. Dimensional reduction formulae for spectral traces and Casimir energies. Letters in mathematical physics. 2024 Mai 24;114(3):66. doi: 10.48550/arXiv.2402.16738, 10.1007/s11005-024-01812-0
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