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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2014, Volume 285, Pages 154–165
DOI: https://doi.org/10.1134/S0371968514020113 (Mi tm3540) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Formulation of quantum mechanics with dynamical time

M. G. Ivanov

Moscow Institute of Physics and Technology (State University), Dolgoprudnyi, Russia
Full-text PDF (218 kB) Citations (3)
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DOI: https://doi.org/10.1134/S0371968514020113
Abstract: We consider quantum mechanics for which the system time is one of generalized coordinates. The generalized Hamiltonian has an unbounded spectrum, which allows us to introduce a Hermitian time operator. In the proposed formulation of quantum mechanics, a system time and observer's time are introduced. The Schrödinger equation in the system time either does not hold or holds only approximately. The wave function is assumed to be square integrable with respect to all coordinates, including the system time. In some limit, this formalism reproduces standard quantum mechanics and the corresponding measurement theory.
Received in February 2014
English version:
Proceedings of the Steklov Institute of Mathematics, 2014, Volume 285, Pages 145–156
DOI: https://doi.org/10.1134/S0081543814040117
Bibliographic databases:
Document Type: Article
UDC: 517.5
Language: Russian
Citation: M. G. Ivanov, “Formulation of quantum mechanics with dynamical time”, Selected topics of mathematical physics and analysis, Collected papers. In commemoration of the 90th anniversary of Academician Vasilii Sergeevich Vladimirov's birth, Trudy Mat. Inst. Steklova, 285, MAIK Nauka/Interperiodica, Moscow, 2014, 154–165; Proc. Steklov Inst. Math., 285 (2014), 145–156
Citation in format AMSBIB
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\vol 285
\pages 154--165
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
     
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