Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field

Charles Fefferman; Jürg Fröhlich; Gian Michele Graf

doi:10.1073/pnas.93.26.15009

Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field

Charles Fefferman, Jürg Fröhlich, Gian Michele Graf

Mathematics

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8 Scopus citations

Abstract

We announce a proof of H-stability for the quantized radiation field, with ultraviolet cutoff, coupled to arbitrarily many non-relativistic quantized electrons and static nuclei. Our result holds for arbitrary atomic numbers and fine structure constant. We also announce bounds for the energy of many electrons and nuclei in a classical vector potential and for the eigenvalue sum of a one-electron Pauli Hamiltonian with magnetic field.

Original language	English (US)
Pages (from-to)	15009-15011
Number of pages	3
Journal	Proceedings of the National Academy of Sciences of the United States of America
Volume	93
Issue number	26
DOIs	https://doi.org/10.1073/pnas.93.26.15009
State	Published - Dec 24 1996

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10.1073/pnas.93.26.15009

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abstract = "We announce a proof of H-stability for the quantized radiation field, with ultraviolet cutoff, coupled to arbitrarily many non-relativistic quantized electrons and static nuclei. Our result holds for arbitrary atomic numbers and fine structure constant. We also announce bounds for the energy of many electrons and nuclei in a classical vector potential and for the eigenvalue sum of a one-electron Pauli Hamiltonian with magnetic field.",

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T1 - Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field

AU - Fefferman, Charles

AU - Fröhlich, Jürg

AU - Graf, Gian Michele

PY - 1996/12/24

Y1 - 1996/12/24

N2 - We announce a proof of H-stability for the quantized radiation field, with ultraviolet cutoff, coupled to arbitrarily many non-relativistic quantized electrons and static nuclei. Our result holds for arbitrary atomic numbers and fine structure constant. We also announce bounds for the energy of many electrons and nuclei in a classical vector potential and for the eigenvalue sum of a one-electron Pauli Hamiltonian with magnetic field.

AB - We announce a proof of H-stability for the quantized radiation field, with ultraviolet cutoff, coupled to arbitrarily many non-relativistic quantized electrons and static nuclei. Our result holds for arbitrary atomic numbers and fine structure constant. We also announce bounds for the energy of many electrons and nuclei in a classical vector potential and for the eigenvalue sum of a one-electron Pauli Hamiltonian with magnetic field.

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U2 - 10.1073/pnas.93.26.15009

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AN - SCOPUS:0030480262

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JO - Proceedings of the National Academy of Sciences of the United States of America

JF - Proceedings of the National Academy of Sciences of the United States of America

IS - 26

ER -

Stability of nonrelativistic quantum mechanical matter coupled to the (ultraviolet cutoff) radiation field

Abstract

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