- 99-167 S\o ren Fournais
- Semiclassics of the Quantum Current in a strong constant
May 12, 99
(auto. generated ps),
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Abstract. We study the current of the Pauli operator in a strong
constant magnetic field. We prove that in the semi-classical limit the
persistent current and the current from the interaction of the spin with
the magnetic field cancel, in the case where the magnetic field is very strong.
Furthermore we calculate the next term in the
asymptotics and estimate the error. Finally, we discuss the connection
between this work and the semi-classical estimate of the energy in
strong magnetic fields proved by Lieb, Solovej and Yngvason.