Email this article Integral Characteristics of Wave Packets in the Problem of the Evolution of A Wave Function on A One-Dimensional Lattice
- Authors: Likhachov V.N.1, Vinogradov G.A.1
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Affiliations:
- Emanuel Institute of Biochemical Physics, RAS
- Issue: Vol 197, No 2 (2018)
- Pages: 1615-1625
- Section: Article
- URL: https://journals.rcsi.science/0040-5779/article/view/171987
- DOI: https://doi.org/10.1134/S0040577918110053
- ID: 171987
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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.
About the authors
V. N. Likhachov
Emanuel Institute of Biochemical Physics, RAS
Email: gvin@deom.chph.ras.ru
Russian Federation, Moscow
G. A. Vinogradov
Emanuel Institute of Biochemical Physics, RAS
Author for correspondence.
Email: gvin@deom.chph.ras.ru
Russian Federation, Moscow
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