On the essential spectrum of Schroedinger operators with singular potentials
On the essential spectrum of Schroedinger operators with singular potentials
In this paper, we show that under certain conditions the self-adjoint Schroediner operator -n^l, has essential spectrum [0, oo).The theorems improve previous results by permitting V(x) to be more singular locally.The proof employs a factorization V(x) = A{x)B(x) of the potential.