Casimir interaction: pistons and cavity
Valery N. Marachevsky

TL;DR
This paper investigates the Casimir energy in a rectangular cavity using piston interactions, providing an exact solution for a 3D perfectly conducting piston with any cross section.
Contribution
It introduces an exact solution for the Casimir energy in a 3D rectangular cavity with arbitrary cross section using piston interaction methods.
Findings
Derived an exact formula for Casimir energy in rectangular cavities
Extended piston interaction approach to arbitrary cross sections
Provides insights into Casimir forces in complex geometries
Abstract
The energy of a perfectly conducting rectangular cavity is studied by making use of pistons' interactions. The exact solution for a 3D perfectly conducting piston with an arbitrary cross section is being discussed.
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