Quantum scattering near the lowest Landau threshold for a Schrödinger operator with a constant magnetic field

• Autorzy: Michael Melgaard
• Języki publikacji: EN

Abstrakty

EN

For 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. In various, mostly singular settings, asymptotic expansions for the resolvent of the Hamiltonian H m+Hom+V are deduced as the spectral parameter tends to the lowest Landau threshold. Furthermore, scattering theory for the pair (H m, H om) is established and asymptotic expansions of the scattering matrix are derived as the energy parameter tends to the lowest Landau threshold.

Słowa kluczowe

EN

Near-threshold resolvent expansions; scattering matrix; auxiliary one-dimensional Schrödinger operator; 47N20; 35J10 35P25 47F05 81U05

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2003
• Tom: 1
• Numer: 4
• Strony: 477-509

Daty

wydano

2003-12-01

online

2003-12-01

Twórcy

autor

Michael Melgaard

• Chalmers University of Technology

Bibliografia

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Identyfikatory

DOI

10.2478/BF02475180