On calculation of the finite-gap band spectrum for the one-dimensional Schrodinger operator

Abstract:
The general self-consistent method for calculation of the band spectrum of one-dimensional Schrodinger operator with the Abelian potential is proposed. The band-spectrum parameters are analytically calculated taking into account the finite-gap function properties and the symmetric features of finite-band equations. The dependence of the band-spectrum on the Abelian potential kind is considered.