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

L. Erdös, Letters in Mathematical Physics 29 (1993) 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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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/BF00761110
Erdös, L. (1993). Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics, 29(3), 219–240. https://doi.org/10.1007/BF00761110
Erdös, László. “Ground-State Density of the Pauli Operator in the Large Field Limit.” Letters in Mathematical Physics 29, no. 3 (1993): 219–40. 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, pp. 219–240, 1993.
Erdös L. 1993. Ground-state density of the Pauli operator in the large field limit. Letters in Mathematical Physics. 29(3), 219–240.
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.

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