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Path integral based transition probability evaluation in a quantum system with a diagonal density matrix of the final state. / Bichkov, A. B.; Smirnov, V. V.

In: Journal of Physics A: Mathematical and Theoretical, Vol. 46, No. 1, 2013, p. 015303_1-8.

Research output: Contribution to journal › Article

Harvard

Bichkov, AB & Smirnov, VV 2013, 'Path integral based transition probability evaluation in a quantum system with a diagonal density matrix of the final state', Journal of Physics A: Mathematical and Theoretical, vol. 46, no. 1, pp. 015303_1-8. https://doi.org/10.1088/1751-8113/46/1/015303

APA

Bichkov, A. B., & Smirnov, V. V. (2013). Path integral based transition probability evaluation in a quantum system with a diagonal density matrix of the final state. Journal of Physics A: Mathematical and Theoretical, 46(1), 015303_1-8. https://doi.org/10.1088/1751-8113/46/1/015303

Vancouver

Bichkov AB, Smirnov VV. Path integral based transition probability evaluation in a quantum system with a diagonal density matrix of the final state. Journal of Physics A: Mathematical and Theoretical. 2013;46(1):015303_1-8. https://doi.org/10.1088/1751-8113/46/1/015303

Author

Bichkov, A. B. ; Smirnov, V. V. / Path integral based transition probability evaluation in a quantum system with a diagonal density matrix of the final state. In: Journal of Physics A: Mathematical and Theoretical. 2013 ; Vol. 46, No. 1. pp. 015303_1-8.

BibTeX

@article{2507dd5ba6e54e40b8ec6f63c03cd75c,
title = "Path integral based transition probability evaluation in a quantum system with a diagonal density matrix of the final state",
abstract = "The variant of transition probability evaluation in a quantum system, based on transition probability representation by a path integral using a density matrix formalism, is described. To estimate an integral's value, a set of variables is selected and the Monte Carlo method is used for integration over these variables. The stationary phase method is applied to integration over the remaining variables. In the case of the final state with a diagonal density matrix, this scheme leads to a simple expression for transition probability. {\textcopyright} 2013 IOP Publishing Ltd.",
author = "Bichkov, {A. B.} and Smirnov, {V. V.}",
year = "2013",
doi = "10.1088/1751-8113/46/1/015303",
language = "English",
volume = "46",
pages = "015303_1--8",
journal = "Journal of Physics A: Mathematical and Theoretical",
issn = "1751-8113",
publisher = "IOP Publishing Ltd.",
number = "1",

}

RIS

TY - JOUR

T1 - Path integral based transition probability evaluation in a quantum system with a diagonal density matrix of the final state

AU - Bichkov, A. B.

AU - Smirnov, V. V.

PY - 2013

Y1 - 2013

N2 - The variant of transition probability evaluation in a quantum system, based on transition probability representation by a path integral using a density matrix formalism, is described. To estimate an integral's value, a set of variables is selected and the Monte Carlo method is used for integration over these variables. The stationary phase method is applied to integration over the remaining variables. In the case of the final state with a diagonal density matrix, this scheme leads to a simple expression for transition probability. © 2013 IOP Publishing Ltd.

AB - The variant of transition probability evaluation in a quantum system, based on transition probability representation by a path integral using a density matrix formalism, is described. To estimate an integral's value, a set of variables is selected and the Monte Carlo method is used for integration over these variables. The stationary phase method is applied to integration over the remaining variables. In the case of the final state with a diagonal density matrix, this scheme leads to a simple expression for transition probability. © 2013 IOP Publishing Ltd.

U2 - 10.1088/1751-8113/46/1/015303

DO - 10.1088/1751-8113/46/1/015303

M3 - Article

VL - 46

SP - 015303_1-8

JO - Journal of Physics A: Mathematical and Theoretical

JF - Journal of Physics A: Mathematical and Theoretical

SN - 1751-8113

IS - 1

ER -

ID: 5630462