Casimir energy of two plates inside a cylinder
Valery N. Marachevsky
TL;DR
This paper derives exact formulas for the Casimir force on two plates inside a cylindrical cavity at various temperatures, analyzing their energy behavior over different distances using zeta function techniques.
Contribution
It introduces new exact formulas for Casimir forces in cylindrical geometries at zero and finite temperatures, utilizing zeta function methods.
Findings
Exact formulas for Casimir force derived
Behavior of free energy analyzed at different distances
Results applicable at zero and finite temperatures
Abstract
The new exact formulas for the attractive Casimir force acting on each of the two perfectly conducting plates moving freely inside an infinite perfectly conducting cylinder with the same cross section are derived at zero and finite temperatures by making use of zeta function technique. The short and long distance behaviour of the plates' free energy is investigated.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Cosmology and Gravitation Theories · Experimental and Theoretical Physics Studies