On the number of negative eigenvalues of a one-dimensional Schrödinger operator with point interactions

Letters in Mathematical Physics

Volumn 65, Issue 1, 2003, Pages 27-35

  Albeverio, Sergio ^a,b,c,d,e,f   Nizhnik, Leonid ^g  

^a UNIVERSITY OF BONN   (Germany)

^b SFB 611   (Germany)

^c BiBoS   (Germany)

^d IZKS ^*  (Germany)

^e CERFIM   (Switzerland)

^f UNIVERSITY OF LUGANO   (Switzerland)

^g INSTITUTE OF MATHEMATICS   (Ukraine)

Author keywords

Continued fractions; Negative eigenvalues; Number of negative eigenvalues; Point interactions; Schr dinger operators

Indexed keywords

EID: 3943082000     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1027396004785     Document Type: Article

References (6)

1. Albeverio, S., Fenstad, J. E. and Høegh-Krohn, R.: Singular perturbations and nonstandard analysis, Trans. Amer. Math. Soc. 252 (1979), 275-295.
2. Albeverio, S., Gesztesy, F., Høegh-Krohn, R. and Holden, H.: Solvable Models in Quantum Mechanics, Springer-Verlag, New York, 1988.
3. Albeverio, S. and Kurasov, P.: Singular Perturbations of Differential Operators and Solvable Schrödinger Type Operators, Cambridge Univ. Press, 2000.
4. Albeverio, S. and Nizhnik, L.: Schrödinger operators with a number of negative eigenvalues equal to the number of point interactions, Preprint SFB-611, No. 49, Universität Bonn, 2002.
5. Birman, M. Sh. and Solomyak, M. Z.: Estimates for the Number of Negative Eigenvalues of the Schrödinger Operator and its Generalizations, Amer. Math. Soc., Providence, RI, 1991.
6. Reed, M. and Simon, B.: Methods of Modern Mathematical Physics. IV. Analysis of Operators, Academic Press, New York, 1978.