On the absence of positive eigenvalues of Schrödinger operators with long range potentials

Kalf, Hubert; Krishna Kumar, V.

doi:10.1090/S0002-9947-1983-0678345-4

On the absence of positive eigenvalues of Schrödinger operators with long range potentials
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by Hubert Kalf and V. Krishna Kumar PDF

Trans. Amer. Math. Soc. 275 (1983), 215-229 Request permission

Abstract:

In this paper we consider the problem of obtaining upper bounds for the positive bound states associated with the Schrödinger operators with long range potentials. We have extended the size of the class of long range potentials for which one can establish the nonexistence of positive eigenvalues, improving upon the recent results of G. B. Khosrovshahi, H. A. Levine and L. E. Payne (Trans. Amer. Math. Soc. 253 (1979), 211-228).

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On the spectrum of an elliptic operator of second order

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