The spectrum of the Schrödinger operator
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- by Martin Schechter PDF
- Trans. Amer. Math. Soc. 312 (1989), 115-128 Request permission
Abstract:
We describe the negative spectrum of the Schrödinger operator with a singular potential. We determine the exact value of the bottom of the spectrum and estimate it from above and below. We describe the dependence of a crucial constant on the eigenvalue parameter and discuss some of its properties. We show how recent results of others are simple consequences of a theorem proved by the author in 1972.References
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Additional Information
- © Copyright 1989 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 312 (1989), 115-128
- MSC: Primary 35P15; Secondary 26D10, 35J10, 47F05
- DOI: https://doi.org/10.1090/S0002-9947-1989-0955491-4
- MathSciNet review: 955491