A method for calculating the vacuum average energy-momentum tensors for a scalar field on the nonunimodular Lie groups is developed. To solve this problem, a method of generalized harmonic analysis on the Lie groups is used based on the method of orbits of coadjoint representation.
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Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 4, pp. 86–92, April, 2010.
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Breev, A.I. Vacuum polarization of a scalar field on the nonunimodular lie groups. Russ Phys J 53, 421–430 (2010). https://doi.org/10.1007/s11182-010-9435-9
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DOI: https://doi.org/10.1007/s11182-010-9435-9