Beyond the classical Weyl and Colin de Verdiere's formulas for Schrodinger operators with polynomial magnetic and electric fields

Mitya Boyarchenko, Sergei Levendorskii

We present a pair of conjectural formulas that compute the leading term of the spectral asymptotics of a Schrödinger operator on $L^2(\bR^n)$ with quasi-homogeneous polynomial magn…