New approach to quantum scattering near the lowest Landau threshold for a Schrodinger operator with a constant magnetic field
2002 (English)In: Few-body systems, ISSN 0177-7963, E-ISSN 1432-5411, Vol. 32, no 1-2, 1-22 p.Article in journal (Refereed) Published
For a fixed magnetic quantum number m results on spectral properties and scattering theory are given for the three-dimensional Schrodinger operator with a constant magnetic field and an axisymmetrical electric potential V. Asymptotic expansions for the resolvent of the Hamiltonian H-m = H-om + V are deduced as the spectral parameter tends to the lowest Landau threshold E-0. In particular it is shown that E-0 can be an eigenvalue of H-m. Furthermore, asymptotic expansions of the scattering matrix associated with the pair (H-m, H-om) are derived as the energy parameter tends to E-0.
Place, publisher, year, edition, pages
2002. Vol. 32, no 1-2, 1-22 p.
IdentifiersURN: urn:nbn:se:uu:diva-174117DOI: 10.1007/s00601-001-0077-xISI: 000176679600001OAI: oai:DiVA.org:uu-174117DiVA: diva2:526503