Abstract
A new method is proposed for calculating the vacuum energy-momentum tensor on bounded manifolds that does not require a cutoff or other artificial devices. The impenetrable boundaries are replaced by a family of localized potentials which depend on a parameter λ, the boundary condition corresponding to impenetrability being obtained in the limit λ → ∞. The Casimir effect in the case of two parallel plates is considered in detail.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 2, pp. 78–82, February, 1981.
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Mamaev, S.G., Trunov, N.N. Vacuum expectation values of the energy-momentum tensor of quantized fields on manifolds of different topology and geometry. IV. Soviet Physics Journal 24, 171–174 (1981). https://doi.org/10.1007/BF00895367
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DOI: https://doi.org/10.1007/BF00895367