Eugene Shargorodsky (King's College)

Negative eigenvalues of two-dimensional Schroedinger operators

Abstract: I will discuss estimates for the number of negative eigenvalues of a two-dimensional Schroedinger operator in terms of "L log L" type Orlicz norms of the potential. The obtained results prove a conjecture by N.N. Khuri, A. Martin and T.T. Wu (2002).