Communications in Mathematical Physics

, Volume 251, Issue 1, pp 157–178 | Cite as

Dispersive Estimates for Schrödinger Operators in Dimensions One and Three

Article

Abstract

We consider L1L estimates for the time evolution of Hamiltonians H=−Δ+V in dimensions d=1 and d=3 with bound Open image in new window We require decay of the potentials but no regularity. In d=1 the decay assumption is ∫(1+|x|)|V(x)|dx<∞, whereas in d=3 it is |V(x)|≤C(1+|x|)−3−.

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© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  1. 1.Division of AstronomyMathematics and PhysicsPasadenaUSA

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