Wave operator bounds for one-dimensional Schrodinger operators with singular potentials and applications

作者:Duchene Vincent; Marzuola Jeremy L; Weinstein Michael I*
来源:Journal of Mathematical Physics, 2011, 52(1): 013505.
DOI:10.1063/1.3525977

摘要

Boundedness of wave operators for Schrodinger 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.

  • 出版日期2011-1