Weak Coupling Casimir Energies for Finite Plate Configurations
Jef Wagner, Kimball A. Milton, Prachi Parashar

TL;DR
This paper presents a simplified formula for calculating Casimir energies in weak coupling regimes, providing closed-form solutions for various finite plate configurations involving massless scalar fields.
Contribution
It introduces an extremely simplified approach to compute interaction Casimir energies and derives closed-form solutions for specific finite plate arrangements.
Findings
Derived a simplified formula for weak coupling Casimir energies.
Obtained closed-form solutions for finite and infinite plate configurations.
Analyzed the interaction energies for different geometries of plates.
Abstract
We derive and use an extremely simplified formula for the interaction Casimir energy for two separate bodies in the weak coupling regime for massless scalar fields. We derive closed form solutions for a general arrangement of two -function plates finite in one direction and infinite in another. We examine the situation of two parallel plates finite in both transverse directions.
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