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The correspondence between Casimir pressure and energy in one-dimensional field models
Authors:Yu. S. Voronina and P. K. Silaev
Affiliation:(1) Department of Quantum Theory and High Energy Physics, Faculty of Physics, Moscow State University, Moscow, 119991, Russia
Abstract:We propose a method of calculation of Casimir pressure using the Green function for one-dimensional case. This method yields the renormalized pressure if an external field is absent, otherwise it permits us to calculate the dependence of pressure at one boundary on the other boundary’s coordinate. The calculated pressure permits one to obtain the Casimir energy for the systems under consideration.
Keywords:Casimir effect  vacuum effects in quantum field theory  renormalization in quantum field theory
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