Open Access

# 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.

### Article Information

 Title On the number of negative eigenvalues of a Schrodinger operator with $\delta$ interactions Source Methods Funct. Anal. Topology, Vol. 16 (2010), no. 1, 42-50 MathSciNet MR2656130 Copyright The Author(s) 2010 (CC BY-SA)

### Authors Information

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

### 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},
}