A Lieb-Thirring Bound for a Magnetic Pauli Hamiltonian |
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| Authors: | L Bugliaro J Fröhlich GM Graf J Stubbe C Fefferman |
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| Institution: | Theoretische Physik, ETH-H?nggerberg, CH-8093 Zürich, Switzerland, CH
Department of Mathematics, Princeton University, Princeton, NJ 08544, USA, US
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| Abstract: | A Lieb-Thirring-Sobolev type inequality for Pauli Hamiltonians with magnetic fields is derived. The bound is in terms of an
effective field, whose energy is comparable to that of the magnetic field itself. An application to the stability of matter
in magnetic fields is given.
Received: 19 September 1996 / Accepted: 3 January 1997 |
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