The spectrum of the Schrödinger operator

Schechter, Martin

doi:10.1090/S0002-9947-1989-0955491-4

The spectrum of the Schrödinger operator
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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.

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