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

Journal Article · Sat Jan 15 00:00:00 EST 2011 · Journal of Mathematical Physics

DOI:https://doi.org/10.1063/1.3525977· OSTI ID:21501248

Duchene, Vincent ^[1]; Marzuola, Jeremy L ^[2]; Weinstein, Michael I ^[3]

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1. Equipe EDP, DMA - Ecole Normale Superieure, 45, rue d'Ulm, 75230 Paris Cedex 05 (France)
2. Department of Mathematics, University of North Carolina-Chapel Hill, Phillips Hall, Chapel Hill, North Carolina 27599 (United States)
3. Department of Applied Physics and Applied Mathematics, Columbia University, 200 S. W. Mudd, 500 W. 120th St., New York City, New York 10027 (United States)

Boundedness of wave operators for Schroedinger 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.

• OSTI ID: 21501248
• Journal Information: Journal of Mathematical Physics, Vol. 52, Issue 1; Other Information: DOI: 10.1063/1.3525977; (c) 2011 American Institute of Physics; ISSN 0022-2488
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICAL METHODS AND COMPUTING
COMMUTATORS
MATHEMATICAL SPACE
ONE-DIMENSIONAL CALCULATIONS
POTENTIALS
SCHROEDINGER EQUATION
DIFFERENTIAL EQUATIONS
EQUATIONS
MATHEMATICAL OPERATORS
PARTIAL DIFFERENTIAL EQUATIONS
QUANTUM OPERATORS
SPACE
WAVE EQUATIONS