Abstract
In this paper, there is proved possibility application of the quantum kinetic equations toward the solution of the problems of information technology and renewable energy.
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References
L. Boltzmann, Wissenschaftliche Abhandlungen, ed. by F. Hasenorl, J.A. Barth, vol. 2 (Leipzig, 1909)
A.A. Vlasov, JTEP 8 (1938)
J.W. Gibbs, Elementary Principles in Statistical Mechanics, Developed With Especial Reference to the Rational Foundation of Thermodynamics. Yale Bicentennial Publications, vol. XVIII (Scribner’s Sons, 1902), p. 207
J. Liouville, J. de Math. 3, 349 (1838)
N.N Bogolubov, Problems of a dynamical theory in statistical physics, Moscow (1946) in Studies in Statistical Mechanics, vol. 1, ed. by J. de Boer, G.E. Uhlenbeck (North-Holland, 1962)
E. Schrödinger, An undulatory theory of the mechanics of atoms and molecules. Phys. Rev. 28(6), 1049–1070 (1926)
D.R. Hartree, Wave mechanics of an atom with a non-coulomb Central Field. Part II. Some results and discussion, in Mathematical Proceedings of the Cambridge Philosophical Society, vol. 24 (1928), pp. 111–132
N.N. Bogolyubov, Lectures on Quantum Statistics, London (1970); Selected papers, vol. 2 (Naukovo Dumka, Kyev, 1970)
N.N. Bogolyubov, N.N. Bogolubov, in Introduction to Quantum Statistical Mechanics (Nauka, Moscow, 1984)
D.Y. Petrina, Mathematical Foundation of Quantum Statistical Mechanics, Continuous Systems (Kluwer Academic Publishers, Dordrecht, 1995)
M.Yu. Rasulova, Appl. Math. Inf. Sci. 12(4), 685–688 (2018)
E.H. Lieb, W. Liniger, Exact analysis of an interacting Bose gas. I: the general solution and the ground state. Phys. Rev. 130, 1605–1616 (1963)
E.T. Jaynes, F.W. Cummings, Proc. IEEE 51, 89 (1963)
N.N. Bogolyubov, N.N. Bogolyubov Jr., Aspects of Polaron Theory (Fizmatlit, Moscow, 2004)
N.N. Bogolyubov Jr., V.N. Plechko, A.S. Shumovsky, Phys. Elem. Part. At. Nuclei 14, 1483 (1983)
N.N. Bogolyubov Jr., M.Y. Rasulova, I.A. Tishabaev, Theor. Math. Phys. 171(1), 523–530 (2012)
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Rasulova, M. (2020). Application of Solution of the Quantum Kinetic Equations for Information Technology and Renewable Energy Problem. In: Manchanda, P., Lozi, R., Siddiqi, A. (eds) Mathematical Modelling, Optimization, Analytic and Numerical Solutions. Industrial and Applied Mathematics. Springer, Singapore. https://doi.org/10.1007/978-981-15-0928-5_8
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DOI: https://doi.org/10.1007/978-981-15-0928-5_8
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