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Teoreticheskaya i Matematicheskaya Fizika, 2018, Volume 197, Number 2, Pages 257–268
DOI: https://doi.org/10.4213/tmf9496 (Mi tmf9496) 		 
Integral characteristics of wave packets in the problem of the evolution of a wave function on a one-dimensional lattice

V. N. Likhachev, G. A. Vinogradov

Emanuel Institute of Biochemical Physics, RAS, Moscow, Russia
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DOI: https://doi.org/10.4213/tmf9496
Abstract: We consider the quantum dynamics of charge transfer on a lattice in the tight-binding approximation and analytically calculate the integral characteristics of the wave packet propagating along the lattice. We focus on calculating the mean and root-mean-square displacements. We also obtain expressions for higher-order moments as series for squares of Bessel functions, which might be independently interesting.
Keywords: quantum dynamics, tight-binding approximation, moments of distribution function.
Received: 28.09.2017
Revised: 13.12.2017
English version:
Theoretical and Mathematical Physics, 2018, Volume 197, Issue 2, Pages 1615–1625
DOI: https://doi.org/10.1134/S0040577918110053
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Document Type: Article
Language: Russian
Citation: V. N. Likhachev, G. A. Vinogradov, “Integral characteristics of wave packets in the problem of the evolution of a wave function on a one-dimensional lattice”, TMF, 197:2 (2018), 257–268; Theoret. and Math. Phys., 197:2 (2018), 1615–1625
Citation in format AMSBIB
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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