Einstein - Millikan equation as a consequence of symmetry in quasiparticles interaction

摘要

The main aim of the paper below is a presentation of a new method, being a consecutive attempt to describe the excitations into condensed systems. Using the Fourier analysis, the author tries to combine the quasiparticles theory with quantum Schroedinger equation obtaining in consequence series interesting results .Despite different both assumptions as methods used by author, the accord of results as far as Fermi sphere radius is concerned is simply amazing. In consequence we are able to bestow a directly physical interpretation to this conception as yet treated as typical geometrical construction. Moreover the Einstein -Millikan equation seems to be a logical consequence of symmetry conservation, whereas the electronic work function obtains an interesting function dependency on the others physical parameters describing metal. However the principal result of presented paper seems to be equation which describes a general relation between frequency and wavelength of wave excited into condensed medium. It is worth emphasize that this equation has been obtained without any restrictions with the reference to potential produced by the set of interacting electrons. In the result if we know the potential produced by simple electron only we are able to find the accurate potential taking into account the electrons interactions, and next screening of the crystal lattice.