Quantization of systems in incomplete spaces and the problem of particle production by a~gravitational field
Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 3, pp. 473-480

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The space of a uniformly accelerated observer is regarded as a model of the neighborhood of a black hole. It is shown that a procedure of quantization in a uniformly accelerated system can be constructed in such a way that the Hamiltonian of the field remains self-adjoint, as it must under coordinate transformations. As a consequence of this, there is no thermal excitation background of the field in the uniformly accelerated system.
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     author = {R. O. Grigor'ev},
     title = {Quantization of systems in incomplete spaces and the problem of particle production by a~gravitational field},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
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     year = {1991},
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R. O. Grigor'ev. Quantization of systems in incomplete spaces and the problem of particle production by a~gravitational field. Teoretičeskaâ i matematičeskaâ fizika, Tome 89 (1991) no. 3, pp. 473-480. http://geodesic.mathdoc.fr/item/TMF_1991_89_3_a12/