Schrödinger operators, typically formulated as −Δ + V where Δ denotes the Laplacian and V a potential function, are central to quantum mechanics and spectral theory. A key focus in recent ...
WEIGHTED MOURRE'S COMMUTATOR THEORY, APPLICATION TO SCHRÖDINGER OPERATORS WITH OSCILLATING POTENTIAL
Journal of Operator Theory, Vol. 70, No. 1 (Summer 2013), pp. 109-144 (36 pages) We present a variant of Mourre's commutator theory. We apply it to prove the limiting absorption principle for ...
This is a preview. Log in through your library . Abstract For the commutator $B \cdot A - \operatorname{Op}(ba)$ of two pseudo-differential operators $A$ and $B$ an ...
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