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Teoreticheskaya i Matematicheskaya Fizika, 1992, Volume 90, Number 3, Pages 412–423
(Mi tmf5553)
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This article is cited in 5 scientific papers (total in 5 papers)
Quantum mechanics in Riemannian spacetime. II. Operators of observables
É. A. Tagirov Joint Institute for Nuclear Research
Abstract:
The formulation of the generally eovariant analog of standard (nonrelativistic) quantum mechanics in a general Riemannian spacetime begun in earlier studies of the author is continued with the introduction of asymptotic (with respect to $c^{-2}$) operators of the spatial position of a spirdess particle and of the projection of its momentum onto an arbitrary spacetime direction. The connection between the position operator and the generalization of the $V_{1,3}$ Newton–Wigner operator is established. It is shown that the projection of the momentum onto the $4$-velocity of the frame of reference (the energy operator) is unitarily equivalent to the Hamiltonian in the Schrödinger equation.
Received: 15.11.1990
Citation:
É. A. Tagirov, “Quantum mechanics in Riemannian spacetime. II. Operators of observables”, TMF, 90:3 (1992), 412–423; Theoret. and Math. Phys., 90:3 (1992), 281–288
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https://www.mathnet.ru/eng/tmf5553 https://www.mathnet.ru/eng/tmf/v90/i3/p412
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Abstract page: | 334 | Full-text PDF : | 125 | References: | 46 | First page: | 1 |
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