Spectrum of the Magnetic Schrödinger Operator in a Waveguide with Combined Boundary Conditions
2005 (English)In: Annales de l'Institute Henri Poincare. Physique theorique, ISSN 1424-0637, E-ISSN 1424-0661, Vol. 6, no 2, 327-342 p.Article in journal (Refereed) Published
We consider the magnetic Schrodinger operator in a two-dimensional strip. On the boundary of the strip the Dirichlet boundary condition is imposed except for a fixed segment (window), where it switches to magnetic Neumann(1). We deal with a smooth compactly supported field as well as with the Aharonov-Bohm field. We give an estimate on the maximal length of the window, for which the discrete spectrum of the considered operator will be empty. In the case of a compactly supported field we also give a sufficient condition for the presence of eigenvalues below the essential spectrum.
Place, publisher, year, edition, pages
2005. Vol. 6, no 2, 327-342 p.
Other Physics Topics
IdentifiersURN: urn:nbn:se:kth:diva-6108DOI: 10.1007/s00023-005-0209-9ISI: 000228868300007ScopusID: 2-s2.0-18244384473OAI: oai:DiVA.org:kth-6108DiVA: diva2:10725
QC 201010072005-09-142005-09-142010-10-07Bibliographically approved