About the Principal Necessity of Accounting for the Second Order of Smallness in Quantum-Kinetic Problems

About the Principal Necessity of Accounting for the Second Order of Smallness in Quantum-Kinetic... DOI 10.1007/s11182-018-1414-6 Russian Physics Journal, Vol. 61, No. 2, June, 2018 (Russian Original No. 2, February, 2018) ABOUT THE PRINCIPAL NECESSITY OF ACCOUNTING FOR THE SECOND ORDER OF SMALLNESS IN QUANTUM-KINETIC PROBLEMS E. E. Karpova and V. N. Strekalov UDC 530.1; 538.9 Keywords: evolution operator, mean values, perturbation theory, quantum mechanics, quantum statistics, quantum kinetics. According to the basic concepts of quantum mechanics, the values observed in the experiments are quantum- mechanical means of the corresponding dynamic variables, which are usually calculated within the framework of perturbation theory. At transitions of the quantum system between the initial and final (, mn) states caused by the dynamic operator G , the mean value of the operator is determined by the integral GG  d . (1) mn  n m It is generally accepted that it is sufficient to consider the smallest allowed order of perturbation theory. Most often this is the first order of smallness. The higher orders give minor corrections that can be disregarded [1–3]. A completely different situation occurs when deciding statistical or kinetic problem related with the sequential introduction of the distribution functions and statistical averaging. It turns out that, even with the first order allowed, http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Russian Physics Journal Springer Journals

About the Principal Necessity of Accounting for the Second Order of Smallness in Quantum-Kinetic Problems

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Publisher
Springer Journals
Copyright
Copyright © 2018 by Springer Science+Business Media, LLC, part of Springer Nature
Subject
Physics; Physics, general; Optics, Lasers, Photonics, Optical Devices; Condensed Matter Physics; Nuclear Physics, Heavy Ions, Hadrons; Theoretical, Mathematical and Computational Physics
ISSN
1064-8887
eISSN
1573-9228
D.O.I.
10.1007/s11182-018-1414-6
Publisher site
See Article on Publisher Site

Abstract

DOI 10.1007/s11182-018-1414-6 Russian Physics Journal, Vol. 61, No. 2, June, 2018 (Russian Original No. 2, February, 2018) ABOUT THE PRINCIPAL NECESSITY OF ACCOUNTING FOR THE SECOND ORDER OF SMALLNESS IN QUANTUM-KINETIC PROBLEMS E. E. Karpova and V. N. Strekalov UDC 530.1; 538.9 Keywords: evolution operator, mean values, perturbation theory, quantum mechanics, quantum statistics, quantum kinetics. According to the basic concepts of quantum mechanics, the values observed in the experiments are quantum- mechanical means of the corresponding dynamic variables, which are usually calculated within the framework of perturbation theory. At transitions of the quantum system between the initial and final (, mn) states caused by the dynamic operator G , the mean value of the operator is determined by the integral GG  d . (1) mn  n m It is generally accepted that it is sufficient to consider the smallest allowed order of perturbation theory. Most often this is the first order of smallness. The higher orders give minor corrections that can be disregarded [1–3]. A completely different situation occurs when deciding statistical or kinetic problem related with the sequential introduction of the distribution functions and statistical averaging. It turns out that, even with the first order allowed,

Journal

Russian Physics JournalSpringer Journals

Published: Jun 4, 2018

References

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