Asymptotics of the negative discrete spectrum of a class of Schrödinger operators with large coupling constant
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- by Ari Laptev PDF
- Proc. Amer. Math. Soc. 119 (1993), 481-488 Request permission
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
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Additional Information
- © Copyright 1993 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 119 (1993), 481-488
- MSC: Primary 35P20; Secondary 35J10, 47F05
- DOI: https://doi.org/10.1090/S0002-9939-1993-1149974-0
- MathSciNet review: 1149974