- 97-397 Erdos L.
- Dia- and paramagnetism for nonhomogeneous magnetic fields
(793K, .ps file)
Jul 9, 97
(auto. generated ps),
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Abstract. Diamagnetism of the magnetic Schr\"odinger operator
and paramagnetism of the Pauli operator are rigorously proven
for nonhomogeneous magnetic fields in the large field, in the
large temperature and in the semiclassical asymptotic regimes.
New counterexamples are presented which show that neither
dia- nor paramagnetism are true in a robust sense (without
asymptotics). In particular, we demonstrate that the recent
diamagnetic comparison result by Loss and Thaller
[CMP 186(1) 95-107 (1997)] is essentially the best one can hope.