Casimir Energy due to a Semi-Infinite Plane Boundary
H. Ahmedov, I. H. Duru
TL;DR
This paper derives the Green function for a massless scalar field with Dirichlet boundary conditions on a semi-infinite plane and uses it to compute the Casimir energy associated with this boundary.
Contribution
It provides a new analytical derivation of the Green function and Casimir energy for a semi-infinite plane boundary, extending previous boundary condition analyses.
Findings
Explicit Green function for semi-infinite plane boundary
Calculated Casimir energy for the boundary configuration
Provides insights into boundary effects on quantum vacuum energy
Abstract
Following the derivation of the Green function for the massless scalar field satisfying the Dirichlet boundary condition on the Plane (x > 0, y = 0), we calculate the Casimir energy.
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Taxonomy
TopicsQuantum Electrodynamics and Casimir Effect · Experimental and Theoretical Physics Studies · Quantum Mechanics and Applications