Vol. 25, No. 3, 1968

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ISSN: 0030-8730
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