Das an Electric Current have an Acoustic Component?
Journal: Journal of Energy Conservation (Vol.1, No. 2)Publication Date: 2019-03-09
Authors : A.A.Berezin;
Page : 1-14
Keywords : Feynman quantum concept of electric current in a crystallyne lattice; electrons; phonons; coupled difference-differential Hamiltonian equations;
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».
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