STABILITY OF NONRELATIVISTIC QUANTUM-MECHANICAL MATTER COUPLED TO THE(ULTRAVIOLET CUTOFF) RADIATION-FIELD

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 fo r the energy of many electrons and nuclei in a classical vector potent ial and for the eigenvalue sum of a one-electron Pauli Hamiltonian wit h magnetic field.