Possibility of Geometric Description of Quasiparticles in Solids
arXiv:cond-mat/9605060 · doi:10.1142/S0217979296000325
Abstract
New phenomenological approach for the description of elementary collective excitations is proposed. The crystal is considered to be an anisotropic space-time vacuum with a prescribed metric tensor in which the information on electromagnetic crystalline fields is included. The quasiparticles in this space are supposed to be described by the equations structurally similar to the relativistic wave equations for particles in empty space. The generalized Klein-Gordon-Fock equation and the generalized Dirac equation in external electromagnetic field are considered. The applicability of the proposed approach to the case of conduction electron in a crystal is discussed.
arXiv comment17 pages, latex; to appear in Int. Jnl. Mod. Phys