| Abstrakt: |
For a fixed magnetic quantum number m results on spectral properties and scattering theory are given for the three-dimensional Schrödinger 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 E0. In particular it is shown that E0 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 E0. [ABSTRACT FROM AUTHOR] |
Full text from SpringerLink