@article{2723, abstract = {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. }, author = {Erdös, László}, issn = {0377-9017}, journal = {Letters in Mathematical Physics}, number = {3}, pages = {219 -- 240}, publisher = {Springer}, title = {{Ground-state density of the Pauli operator in the large field limit}}, doi = {10.1007/BF00761110}, volume = {29}, year = {1993}, }