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Theoretical and Mathematical Physics

, Volume 197, Issue 2, pp 1615–1625 | Cite as

Integral Characteristics of Wave Packets in the Problem of the Evolution of A Wave Function on A One-Dimensional Lattice

  • V. N. Likhachov
  • G. A. VinogradovEmail author
Article
  • 15 Downloads

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 

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Copyright information

© Pleiades Publishing, Ltd. 2018

Authors and Affiliations

  1. 1.Emanuel Institute of Biochemical Physics, RASMoscowRussia

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