Vol. 25, No. 3, 1968

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On the essential spectrum of Schroedinger operators with singular potentials

James Secord Howland

Vol. 25 (1968), No. 3, 533–542
Abstract

In this paper, we show that under certain conditions the self-adjoint Schroediner operator Δn + V (x) on L2(Rn), n 1, has essential spectrum [0,). 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.

Mathematical Subject Classification
Primary: 47.65
Secondary: 35.00
Milestones
Received: 17 August 1967
Published: 1 June 1968
Authors
James Secord Howland