Georgi D. Raikov, Simone Warzel
Quasi-classical versus non-classical spectral asymptotics for magnetic Schroedinger operators with decreasing electric potentials
(217K, Postscript)

ABSTRACT.  We consider the Schroedinger operator H(V) on L^2(R^2) or L^2(R^3) 
with constant magnetic field, and electric potential V which typically decays at infinity exponentially fast or has a compact support. 
We investigate the asymptotic behaviour of the discrete spectrum of H(V) 
near the boundary points of its essential spectrum. If the decay 
of V is Gaussian or faster, this behaviour is non-classical in the 
sense that it is not described by the quasi-classical formulas known 
for the case where V admits a power-like decay.