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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2021, Volume 313, Pages 208–218
DOI: https://doi.org/10.4213/tm4193 (Mi tm4193) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Continuous Measurements in Probability Representation of Quantum Mechanics

Ya. V. Przhiyalkovskiy

Kotelnikov Institute of Radioengineering and Electronics (Fryazino Branch) of Russian Academy of Sciences, pl. Vvedenskogo 1, Fryazino, Moscow oblast, 141190 Russia
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DOI: https://doi.org/10.4213/tm4193
Abstract: The continuous quantum measurement within the probability representation of quantum mechanics is discussed. The partial classical propagator of the symplectic tomogram associated to a particular measurement outcome is introduced, for which the representation of a continuous measurement through the restricted path integral is applied. The classical propagator for the system undergoing a non-selective measurement is derived by summing these partial propagators over the entire outcome set. The elaborated approach is illustrated by considering the non-selective position measurement of a quantum oscillator and a quantum particle.
Received: January 27, 2021
Revised: February 3, 2021
Accepted: March 26, 2021
English version:
Proceedings of the Steklov Institute of Mathematics, 2021, Volume 313, Pages 193–202
DOI: https://doi.org/10.1134/S0081543821020188
Bibliographic databases:
Document Type: Article
UDC: 530.145.1
Language: Russian
Citation: Ya. V. Przhiyalkovskiy, “Continuous Measurements in Probability Representation of Quantum Mechanics”, Mathematics of Quantum Technologies, Collected papers, Trudy Mat. Inst. Steklova, 313, Steklov Math. Inst., Moscow, 2021, 208–218; Proc. Steklov Inst. Math., 313 (2021), 193–202
Citation in format AMSBIB
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\pages 208--218
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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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