Asymptotics of eigenvalues of the Schrödinger operator with a strong δ-interaction on a loop

Journal of Geometry and Physics

Volumn 41, Issue 4, 2002, Pages 344-358

  Exner, Pavel ^a,b   Yoshitomi, Kazushi ^c  

^a NUCLEAR PHYSICS INSTITUTE   (Czech Republic)

^b CZECH TECHNICAL UNIVERSITY IN PRAGUE   (Czech Republic)

^c KYUSHU UNIVERSITY   (Japan)

Author keywords

interaction; Eigenvalues of the Schr dinger operator

Indexed keywords

EID: 0036193004     PISSN: 03930440     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0393-0440(01)00071-7     Document Type: Article

References (11)

1. Singular Perturbations of Differential Operators
2. Schrödinger operators with singular interactions
3. Spectral analysis and scattering theory for Schödinger operators with an interaction supported by a regular curve
4. Finitely many sphere interactions in quantum mechanics: Nonseparated boundary conditions
5. Geometrically induced spectrum in curved leaky wires
6. Boundary conditions on a curve for a three-dimensional Laplace operator
7. Methods on Modern Mathematical Physics. IV. Analysis of Operators
8. On the semiboundedness of δ-perturbations of the Laplacian supported by curves with angle points
9. Band gap of the spectrum in periodically curved quantum waveguides