10.1007/BF00761110
László Erdös
László
Erdös0000-0001-5366-9603
Ground-state density of the Pauli operator in the large field limit
Springer
1993
2018-12-11T11:59:16Z
2019-04-26T07:22:19Z
journal_article
https://research-explorer.app.ist.ac.at/record/2723
https://research-explorer.app.ist.ac.at/record/2723.json
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.