The Mourre estimate for dispersive 𝑁-body Schrödinger operators

Dereziński, Jan

doi:10.1090/S0002-9947-1990-0970265-4

The Mourre estimate for dispersive $N$-body Schrödinger operators
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by Jan Dereziński PDF

Trans. Amer. Math. Soc. 317 (1990), 773-798 Request permission

Abstract:

We prove the Mourre estimate for a certain class of dispersive $N$-body Schrödinger operators. Using this estimate we derive some properties of those operators such as the local finiteness of the finite spectrum and the absence of the singular continuous spectrum.

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