Estimating the number of negative eigenvalues of a relativistic Hamiltonian with regular magnetic field

Viorel Iftimie, Marius Mantoiu, Radu Purice

We prove the analog of the Cwickel-Lieb-Rosenblum estimation for the number of negative eigenvalues of a relativistic Hamiltonian with magnetic field $B\in C^\infty_{\rm{pol}}(\mat…