A lieb-thirring bound for a magnetic Pauli Hamiltonian, II

Luca Bugliaro; Charles Fefferman; Gian Michele Graf

doi:10.4171/RMI/266

A lieb-thirring bound for a magnetic Pauli Hamiltonian, II

Luca Bugliaro, Charles Fefferman, Gian Michele Graf

Mathematics

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10 Scopus citations

Abstract

We establish a Lieb-Thirring type estimate for Pauli Hamiltonians with non-homogeneous magnetic fields. Besides of depending on the size of the field, the bound also takes into account the size of the field gradient. We then apply the inequality to prove stability of non-relativistic quantum mechanical matter coupled to the quantized ultraviolet-cutoff electromagnetic field for arbitrary values of the fine structure constant.

Original language	English (US)
Pages (from-to)	593-619
Number of pages	27
Journal	Revista Matematica Iberoamericana
Volume	15
Issue number	3
DOIs	https://doi.org/10.4171/RMI/266
State	Published - 1999

All Science Journal Classification (ASJC) codes

General Mathematics

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10.4171/RMI/266

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title = "A lieb-thirring bound for a magnetic Pauli Hamiltonian, II",

abstract = "We establish a Lieb-Thirring type estimate for Pauli Hamiltonians with non-homogeneous magnetic fields. Besides of depending on the size of the field, the bound also takes into account the size of the field gradient. We then apply the inequality to prove stability of non-relativistic quantum mechanical matter coupled to the quantized ultraviolet-cutoff electromagnetic field for arbitrary values of the fine structure constant.",

author = "Luca Bugliaro and Charles Fefferman and Graf, {Gian Michele}",

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T1 - A lieb-thirring bound for a magnetic Pauli Hamiltonian, II

AU - Bugliaro, Luca

AU - Fefferman, Charles

AU - Graf, Gian Michele

PY - 1999

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N2 - We establish a Lieb-Thirring type estimate for Pauli Hamiltonians with non-homogeneous magnetic fields. Besides of depending on the size of the field, the bound also takes into account the size of the field gradient. We then apply the inequality to prove stability of non-relativistic quantum mechanical matter coupled to the quantized ultraviolet-cutoff electromagnetic field for arbitrary values of the fine structure constant.

AB - We establish a Lieb-Thirring type estimate for Pauli Hamiltonians with non-homogeneous magnetic fields. Besides of depending on the size of the field, the bound also takes into account the size of the field gradient. We then apply the inequality to prove stability of non-relativistic quantum mechanical matter coupled to the quantized ultraviolet-cutoff electromagnetic field for arbitrary values of the fine structure constant.

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JF - Revista Matematica Iberoamericana

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ER -

A lieb-thirring bound for a magnetic Pauli Hamiltonian, II

Abstract

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