Ma. Antonets et Va. Geyler, A QUASI-2-DIMENSIONAL CHARGED-PARTICLE IN A TILTED MAGNETIC-FIELD - ASYMPTOTIC PROPERTIES OF THE SPECTRUM, Russian journal of mathematical physics, 3(4), 1995, pp. 413-422
A model of a quantum-mechanical particle in contact interaction with a
plane in the presence of a homogeneous magnetic field is discussed. W
e show that, for large values of the interaction constant, the Hamilto
nian of such a system has a point spectrum whose low-energy part is cl
ose to the Landau level system.