TY - JOUR
AB - The ground-state density of the Pauli operator in the case of a nonconstant magnetic field with constant direction is studied. It is shown that in the large field limit, the naturally rescaled ground-state density function is bounded from above by the megnetic field, and under some additional conditions, the limit density function is equal to the magnetic field. A restatement of this result yields an estimate on the density of complex orthogonal polynomials with respect to a fairly general weight function. We also prove a special case of the paramagnetic inequality.
AU - Erdös, László
ID - 2723
IS - 3
JF - Letters in Mathematical Physics
SN - 0377-9017
TI - Ground-state density of the Pauli operator in the large field limit
VL - 29
ER -