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On the number of negative eigenvalues of a Schrodinger operator with $\delta$ interactions


Abstract

We give necessary and sufficient conditions for a one-dimensional Schrodinger operator to have the number of negative eigenvalues equal to the number of negative intensities in the case of $\delta$ interactions.


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Article Information

TitleOn the number of negative eigenvalues of a Schrodinger operator with $\delta$ interactions
SourceMethods Funct. Anal. Topology, Vol. 16 (2010), no. 1, 42-50
MathSciNet MR2656130
CopyrightThe Author(s) 2010 (CC BY-SA)

Authors Information

Osamu Ogurisu
Division of Mathematical and Physical Sciences, Kanazawa University, Kanazawa, Ishikawa, 920-1192, Japan 


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Citation Example

Osamu Ogurisu, On the number of negative eigenvalues of a Schrodinger operator with $\delta$ interactions, Methods Funct. Anal. Topology 16 (2010), no. 1, 42-50.


BibTex

@article {MFAT500,
    AUTHOR = {Ogurisu, Osamu},
     TITLE = {On the number of negative eigenvalues of a Schrodinger operator with $\delta$ interactions},
   JOURNAL = {Methods Funct. Anal. Topology},
  FJOURNAL = {Methods of Functional Analysis and Topology},
    VOLUME = {16},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {42-50},
      ISSN = {1029-3531},
       URL = {http://mfat.imath.kiev.ua/article/?id=500},
}


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