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Gauge-Invariant Derivation of the Casimir–Lifshitz Pressure

  • PHYSICS OF SOLID STATE AND CONDENSED MATTER
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Abstract

A new gauge-invariant (by construction) derivation of electric Green’s functions in a system of two dielectric half-spaces separated by a vacuum gap is considered. The derivation of Casimir–Lifshitz pressure is given. We consider a novel explicitly gauge-invariant derivation of electric Green’s functions in the system of two dielectric half-spaces separated by a vacuum slit. The derivation of the Casimir–Lifshitz pressure is given.

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ACKNOWLEDGMENTS

The research was carried out using the computing resources of the Computer Center at St. Petersburg State University (http:// www.cc.spbu.ru/).

Funding

This work was supported by a grant from the Russian Science Foundation, project no. 22-13-00151.

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Authors and Affiliations

  1. St. Petersburg State University, 199034, St. Petersburg, Russia

    V. N. Marachevsky & A. A. Sidelnikov

Authors
  1. V. N. Marachevsky
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  2. A. A. Sidelnikov
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Correspondence to V. N. Marachevsky or A. A. Sidelnikov.

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The authors declare that they have no conflicts of interest.

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Marachevsky, V.N., Sidelnikov, A.A. Gauge-Invariant Derivation of the Casimir–Lifshitz Pressure. Phys. Part. Nuclei Lett. 20, 1114–1116 (2023). https://doi.org/10.1134/S1547477123050527

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  • DOI: https://doi.org/10.1134/S1547477123050527

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