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Casimir Effect on a Finite Lattice

A. Actor, I. Bender, J. Reingruber

quant-pharXiv:quant-ph/9908058

Abstract

This article presents a Hamiltonian lattice formulation of static Casimir systems at a level of generality appropriate for an introductory investigation. Background structure - represented by a lattice potential V(x) - is introduced along one spatial direction with translation invariance in all other spatial directions. Following some general analysis two specific finite one dimensional lattice QFT systems are analyzed in detail.

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