On the maximal ionization of atoms in strong magnetic fields

R. Seiringer, Journal of Physics A: Mathematical and General 34 (2001) 1943–1948.


Journal Article | Published
Abstract
We give upper bounds for the number of spin-1/2 particles that can be bound to a nucleus of charge Z in the presence of a magnetic field B, including the spin-field coupling. We use Lieb's strategy, which is known to yield Nc < 2Z + 1 for magnetic fields that go to zero at infinity, ignoring the spin-field interaction. For particles with fermionic statistics in a homogeneous magnetic field our upper bound has an additional term of the order of Z × min {(B/Z3)2/5, 1 + | 1n(B/Z3)|2}.
Publishing Year
Date Published
2001-03-09
Journal Title
Journal of Physics A: Mathematical and General
Volume
34
Issue
9
Page
1943 - 1948
IST-REx-ID

Cite this

Seiringer R. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 2001;34(9):1943-1948. doi:10.1088/0305-4470/34/9/311
Seiringer, R. (2001). On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General, 34(9), 1943–1948. https://doi.org/10.1088/0305-4470/34/9/311
Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” Journal of Physics A: Mathematical and General 34, no. 9 (2001): 1943–48. https://doi.org/10.1088/0305-4470/34/9/311.
R. Seiringer, “On the maximal ionization of atoms in strong magnetic fields,” Journal of Physics A: Mathematical and General, vol. 34, no. 9, pp. 1943–1948, 2001.
Seiringer R. 2001. On the maximal ionization of atoms in strong magnetic fields. Journal of Physics A: Mathematical and General. 34(9), 1943–1948.
Seiringer, Robert. “On the Maximal Ionization of Atoms in Strong Magnetic Fields.” Journal of Physics A: Mathematical and General, vol. 34, no. 9, IOP Publishing Ltd., 2001, pp. 1943–48, doi:10.1088/0305-4470/34/9/311.

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