Wave operator bounds for 1-dimensional Schrödinger operators with singular potentials and applications

Published 26 May 2010 in math.AP, math-ph, and math.MP | (1005.4943v1)

Abstract: Boundedness of wave operators for Schr\"odinger operators in one space dimension for a class of singular potentials, admitting finitely many Dirac delta distributions, is proved. Applications are presented to, for example, dispersive estimates and commutator bounds.

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