# Ground-state density of the Pauli operator in the large field limit

Erdös L. 1993. Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics. 29(3), 219–240.

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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.

Publishing Year

Date Published

1993-11-01

Journal Title

Letters in Mathematical Physics

Volume

29

Issue

3

Page

219 - 240

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### Cite this

Erdös L. Ground-state density of the Pauli operator in the large field limit.

*Letters in Mathematical Physics*. 1993;29(3):219-240. doi:10.1007/BF00761110Erdös, L. (1993). Ground-state density of the Pauli operator in the large field limit.

*Letters in Mathematical Physics*. Springer. https://doi.org/10.1007/BF00761110Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.”

*Letters in Mathematical Physics*. Springer, 1993. https://doi.org/10.1007/BF00761110.L. Erdös, “Ground-state density of the Pauli operator in the large field limit,”

*Letters in Mathematical Physics*, vol. 29, no. 3. Springer, pp. 219–240, 1993.Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.”

*Letters in Mathematical Physics*, vol. 29, no. 3, Springer, 1993, pp. 219–40, doi:10.1007/BF00761110.