Український математичний конгрес - 2009
Oktay Alish Veliev (Dogus University, Istanbul, Turkey)
On the Inverse Spectral Problem for the Three-dimensional Schrodinger Operator with a Periodic Potential
We constructively determine a family of spectral invariants for the multidimensional Schrodinger operator with a smooth periodic potential by the given Bloch eigenvalues. Then we give an algorithm for the unique (modulo some translations) determination of the periodic potential of the three-dimensional Schrцdinger operator from the spectral invariants. As a result, we determine constructively the potential from the given Bloch eigenvalues.