TL;DR
This paper investigates the Casimir energy and force in a thick piston setup using spectral zeta function regularization, highlighting the influence of boundary conditions and comparing with thin piston cases.
Contribution
It introduces a detailed analysis of the Casimir effect for thick pistons with general boundary conditions, extending previous thin piston studies.
Findings
Casimir energy and force depend on boundary parameters
Numerical results illustrate force variations for different conditions
Comparison shows differences between thick and thin piston forces
Abstract
In this work we analyze the Casimir energy and force for a {\it thick} piston configuration. This study is performed by utilizing the spectral zeta function regularization method. The results we obtain for the Casimir energy and force depend explicitly on the parameters that describe the general self-adjoint boundary conditions imposed. Numerical results for the Casimir force are provided for specific types of boundary conditions and are also compared to the corresponding force on an infinitely thin piston.
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