Institute of Magnetism of NAS of Ukraine
Vernadskii str. 36-b , 252142 Kiev, Ukraine
e-mail: amk@imag.kiev.ua

On spectral problem for the finite-gap Schroedinger operator

Abstract
The spectral problem for finite-gap Schroedinger operator is considered in terms of general hyperelliptic Weierstrass functions. The solving of this problem is proposed on the basis of addition theorems for the Abelian functions and corresponding recursive relations between the general Weiersstrass functions. The limit passage to elliptic solutions are considered.