98-161 Bugliaro L., Fefferman C., Graf G.M.

A Lieb-Thirring Bound for a Magnetic Pauli Hamiltonian, II (46K, AmSTeX) Mar 8, 98

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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.

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