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

Proc Natl Acad Sci U S A

Department of Mathematics, Fine Hall, Princeton University, Princeton, NJ 08544.

Published: December 1996

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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http://www.ncbi.nlm.nih.gov/pmc/articles/PMC26346PMC
http://dx.doi.org/10.1073/pnas.93.26.15009DOI Listing

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