Open Access

Schrödinger operators with nonlocal potentials


Abstract

We describe selfadjoint nonlocal boundary-value conditions for new exact solvable models of Schrödinger operators with nonlocal potentials. We also solve the direct and the inverse spectral problems on a bounded line segment, as well as the scattering problem on the whole axis for first order operators with a nonlocal potential.

Key words: 1D Schrödinger operator, point interaction, nonlocal potential.


Full Text





Article Information

TitleSchrödinger operators with nonlocal potentials
SourceMethods Funct. Anal. Topology, Vol. 19 (2013), no. 3, 199-210
MathSciNet MR3136727
zbMATH 1289.34237
MilestonesReceived 24/12/2012; Revised 25/06/2013
CopyrightThe Author(s) 2013 (CC BY-SA)

Authors Information

Sergio Albeverio
Institut fur Angewandte Mathematik, Universitat Bonn, Endenicherallee 60, D-53 115 Bonn; HCM, SFB 611, Universitat Bonn; BiBoS (Universities of Bielefeld and Bonn)

Leonid Nizhnik
Institute of Mathematics, National Academy of Sciences of Ukraine, 3 Tereshchenkivs'ka, Kyiv, 01601, Ukraine


Google Scholar Metrics

Citing articles in Google Scholar
Similar articles in Google Scholar

Export article

Save to Mendeley



Citation Example

Sergio Albeverio and Leonid Nizhnik, Schrödinger operators with nonlocal potentials, Methods Funct. Anal. Topology 19 (2013), no. 3, 199-210.


BibTex

@article {MFAT698,
    AUTHOR = {Albeverio, Sergio and Nizhnik, Leonid},
     TITLE = {Schrödinger operators with nonlocal potentials},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {19},
      YEAR = {2013},
    NUMBER = {3},
     PAGES = {199-210},
      ISSN = {1029-3531},
  MRNUMBER = {MR3136727},
 ZBLNUMBER = {1289.34237},
       URL = {http://mfat.imath.kiev.ua/article/?id=698},
}


All Issues