Debye model for the surface phonons

A quantum description of the surface waves in an isotropic elastic body without use semiclassical quantization is proposed. The problem about formulated Lagrangian and Hamiltonian representations. Within framework generalized Debye model, contribution phonons (“rayleighons”) to thermodynamic functions calculated. It emphasized that role can be significant even decisive low-dimensional systems, granular porous media, their total heat capacity increases with decreasing temperature.