---
abstract: 'A full selfconsistent set of equations is deduced to describe the kinetics and dynamics of charged quasiparticles (electrons, holes etc.) with arbitrary dispersion law in crystalline solids subjected to time-varying deformations. The set proposed unifies the nonlinear elasticity theory equation, a kinetic equation for quasiparticle excitations and Maxwell’s equations supplemented by the constitute relations. The kinetic equation used [@Push; @AP] is valid for the whole Brillouin zone. It is compatible with the requirement for periodicity in $k$-space and contains an essential new term compared to the traditional form of the Boltzmann equation. The theory is exact in the frame of the quasiparticle approach and can be applied to metals, semiconductors, as well as to other crystalline solids including quantum crystals and low-dimensional lattice structures.'
address: |
     Institute of Solid State Physics Bulgarian Academy of Sciences, Sofia 1784, Bulgaria,\
    E-mail: dipushk@phys.acad.bg 
author:
- 'Dimitar I. Pushkarov'
title:  Dynamics theory of deformable solids with quasiparticle excitations in the presence of electromagnetic fields 
---

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 Introduction 
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There are two fundamental problems when dealing with quasiparticles in crystalline structures. The first one is related to the fact that the quasimomentum ${\bf k}$ and the dispersion law $\eps ({\bf 