Dia- and paramagnetism for nonhomogeneous magnetic fields

L. Erdös, Journal of Mathematical Physics 38 (1997) 1289–1317.

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Journal Article | Published
Abstract
Diamagnetism of the magnetic Schrödinger 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 is true in a robust sense (without asymptotics). In particular, we demonstrate that the recent diamagnetic comparison result by Loss and Thaller [M. Loss and B. Thaller, Commun. Math. Phys. (submitted)] is essentially the best one can hope for.
Publishing Year
Date Published
1997-03-01
Journal Title
Journal of Mathematical Physics
Volume
38
Issue
3
Page
1289 - 1317
IST-REx-ID

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Erdös L. Dia- and paramagnetism for nonhomogeneous magnetic fields. Journal of Mathematical Physics. 1997;38(3):1289-1317. doi:10.1063/1.531909
Erdös, L. (1997). Dia- and paramagnetism for nonhomogeneous magnetic fields. Journal of Mathematical Physics, 38(3), 1289–1317. https://doi.org/10.1063/1.531909
Erdös, László. “Dia- and Paramagnetism for Nonhomogeneous Magnetic Fields.” Journal of Mathematical Physics 38, no. 3 (1997): 1289–1317. https://doi.org/10.1063/1.531909.
L. Erdös, “Dia- and paramagnetism for nonhomogeneous magnetic fields,” Journal of Mathematical Physics, vol. 38, no. 3, pp. 1289–1317, 1997.
Erdös L. 1997. Dia- and paramagnetism for nonhomogeneous magnetic fields. Journal of Mathematical Physics. 38(3), 1289–1317.
Erdös, László. “Dia- and Paramagnetism for Nonhomogeneous Magnetic Fields.” Journal of Mathematical Physics, vol. 38, no. 3, American Institute of Physics, 1997, pp. 1289–317, doi:10.1063/1.531909.

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