2014/08/03 by Diomba Sambou, Sambou, Diomba
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #Nuclear physics research studies #Quantum chaos and dynamical systems #Spectral Theory in Mathematical Physics #math-ph #math.MP
paper · pdf · doi:10.48550/arxiv.1408.0533
17 pages, 1 figure
openalex publication_date 2014/08/03 · arxiv created 2016/03/15 · arxiv updated 2016/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 energy 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.