Anzeige
Erschienen in:
2016 | OriginalPaper | Buchkapitel
Counting Function of Magnetic Eigenvalues for Non-definite Sign Perturbations
verfasst von : Diomba Sambou
Erschienen in: Spectral Theory and Mathematical Physics
Aktivieren Sie unsere intelligente Suche, um passende Fachinhalte oder Patente zu finden.
Wählen Sie Textabschnitte aus um mit Künstlicher Intelligenz passenden Patente zu finden. powered by
Markieren Sie Textabschnitte, um KI-gestützt weitere passende Inhalte zu finden. powered by
We consider the perturbed operator H(b, V ) := H(b, 0)+V , where H(b, 0) is the 3d Hamiltonian of Pauli with non-constant magnetic field, and V is a non-definite sign electric potential decaying exponentially with respect to the variable along the magnetic field. We prove that the only resonances of H(b, V ) near the low ground state zero of H(b, 0) are its eigenvalues and are concentrated in the semi axis (−∞, 0). Further, we establish new asymptotic expansions, upper and lower bounds on their number near zero.