Ground-state density of the Pauli operator in the large field limit
László Erdös
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.
Springer
1993
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https://research-explorer.app.ist.ac.at/record/2723
Erdös L. Ground-state density of the Pauli operator in the large field limit. <i>Letters in Mathematical Physics</i>. 1993;29(3):219-240. doi:<a href="https://doi.org/10.1007/BF00761110">10.1007/BF00761110</a>
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