Quasi-classical versus Non-classical Spectral Asymptotics for Magnetic Schrödinger Operators with Decreasing Electric Potentials
نویسندگان
چکیده
We consider the Schrödinger operator H(V ) on L(R) or L(R), 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 quasiclassical formulas known for the case where V admits a power-like decay.
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