- 98-161 Bugliaro L., Fefferman C., Graf G.M.
- A Lieb-Thirring Bound for a Magnetic Pauli Hamiltonian, II
Mar 8, 98
(auto. generated ps),
of related papers
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.