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Letters in Mathematical Physics

, Volume 29, Issue 3, pp 219–240 | Cite as

Ground-state density of the pauli operator in the large field limit

  • László Erdős
Article

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.

Mathematics Subject Classifications (1991)

33C45 58D30 81S40 

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Copyright information

© Kluwer Academic Publishers 1993

Authors and Affiliations

  • László Erdős
    • 1
  1. 1.Department of MathematicsPrinceton UniversityPrincetonUSA

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