Quasiparticle kinetics and dynamics in nonstationary deformed crystals in the presence of electromagnetic fields

This work is devoted to the behaviour of quasiparticles in crystalline solids subjected to time-varying deformations (e.g. in the deformation field of an elastic wave). In such a case the quasimomentum of the elementary excitation is not a conserved quantity, the dispersion law is not a periodic function of the quasimomentum, the Hamiltonian does not coincide with energy, and Galilean transformations do not hold in virtue of the privileged role of the lattice reference frame. The main achievement is the unification of the equations of elasticity theory, the Boltzmann transport equation, and Maxwellʹs equations (supplemented by the constitutive relations) in a selfconsistent set of nonlinear equations. This set is exact in the frame of the quasiparticle approach, and is valid for quasiparticles with an arbitrary dispersion law. l attention is paid to the role of the quasimomentum. onal fundamental results are the derivation of the Hamilton equations of motion for a quasiparticle in a noninertial deformable lattice frame, the transformation formulae for quasiparticle characteristics (quasimomentum, energy, Hamiltonian, etc.) found to replace the Galilean transformations, as well as the deduction of a Boltzmann transport equation valid for the entire Brillouin zone (and with moving zone boundaries). The kinetic equation contains a new term responsible for noninertial effects. eory presented may serve as a generalization of the previous (linear) theories of electroacoustic interaction, magnetoacoustic effects and sound generation in metals, transport phenomena in low-dimensional structures, etc. nstructive problems are considered.