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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

 

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


Authors: Hubert Kalf and V. Krishna Kumar
Journal: Trans. Amer. Math. Soc. 275 (1983), 215-229
MSC: Primary 35P15; Secondary 35J10
MathSciNet review: 678345
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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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DOI: http://dx.doi.org/10.1090/S0002-9947-1983-0678345-4
PII: S 0002-9947(1983)0678345-4
Keywords: Schrödinger operator, long range potential, eigenvalue
Article copyright: © Copyright 1983 American Mathematical Society