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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


Asymptotics of the negative discrete spectrum of a class of Schrödinger operators with large coupling constant

Author: Ari Laptev
Journal: Proc. Amer. Math. Soc. 119 (1993), 481-488
MSC: Primary 35P20; Secondary 35J10, 47F05
MathSciNet review: 1149974
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Abstract: We obtain the asymptotics of the negative discrete spectrum of the Schrödinger operator with a large coupling constant and potentials $ V \notin {L_{m/2}}({R^m}),\;m \geqslant 3$. The result is very sensitive to small perturbations of the potential and depends on the negative spectrum of some auxiliary differential problems on $ {S^{m - 1}}$.

References [Enhancements On Off] (What's this?)

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PII: S 0002-9939(1993)1149974-0
Article copyright: © Copyright 1993 American Mathematical Society

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