Search results for "resolvent estimates"

showing 2 items of 2 documents

Resolvent estimates for the magnetic Schrödinger operator in dimensions ≥2

2020

It is well known that the resolvent of the free Schrödinger operator on weighted L2 spaces has norm decaying like λ−12 at energy λ . There are several works proving analogous high frequency estimates for magnetic Schrödinger operators, with large long or short range potentials, in dimensions n≥3 . We prove that the same estimates remain valid in all dimensions n≥2 . peerReviewed

Schrödingerin yhtälömatematiikkaresolvent estimatesSchrödinger equationlimiting absorption principlemagnetic potentials
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Commutators, C0-semigroups and resolvent estimates

2004

Abstract We study the existence and the continuity properties of the boundary values on the real axis of the resolvent of a self-adjoint operator H in the framework of the conjugate operator method initiated by Mourre. We allow the conjugate operator A to be the generator of a C 0 -semigroup (finer estimates require A to be maximal symmetric) and we consider situations where the first commutator [ H ,i A ] is not comparable to H . The applications include the spectral theory of zero mass quantum field models.

Spectral theoryC0- semigroupsSemigroupOperator (physics)Mathematical analysisSpectrum (functional analysis)Commutator (electric)Resolvent formalismMourre estimatelaw.inventionResolvent estimateslawHermitian adjointPositive commutatorsBoundary values of resolvent familiesConjugate operatorVirial theoremAnalysisMathematicsResolventJournal of Functional Analysis
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