A.A.Berezin, Das an Electric Current have an Acoustic Component?, Journal of Energy Conservation, Volume 1, Issue 2, 2019, Pages 1-14, ISSN 2642-3146, https://doi.org/10.14302/issn.2642-3146.jec-19-2663.
(https://oapgroup.org/jec/article/1022)
Abstract: The quantum model of electric current suggested by Feynman has been enlarged by n difference-differential Hamiltonian equations describing the phonon dynamics in one dimensional crystallyne lattice. The process of interaction between the electron and phonon components in a crystalline lattice of a conductor has been described by 2n parametrically coupled difference-differential Hamiltonian equations. Computer analysis of the system of these coupled equations showed that their solutions represent a form of the quantum recurrence similar to the Fermi-Pasta-Ulam recurrence. The results of the research might reconsider the existing concept of electric current and will be possibly helpful in developing an acoustic «laser».
Keywords: Feynman quantum concept of electric current in a crystallyne lattice; electrons; phonons; coupled difference-differential Hamiltonian equations.