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.
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Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 197, No. 2, pp. 257–268, November, 2018.
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Likhachov, V.N., Vinogradov, G.A. Integral Characteristics of Wave Packets in the Problem of the Evolution of A Wave Function on A One-Dimensional Lattice. Theor Math Phys 197, 1615–1625 (2018). https://doi.org/10.1134/S0040577918110053
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DOI: https://doi.org/10.1134/S0040577918110053