Author(s): | Seiringer, Robert |
Article Title: | On the maximal ionization of atoms in strong magnetic fields |
Affiliation | |
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}. |
Journal Title: | Journal of Physics A: Mathematical and General |
Volume: | 34 |
Issue | 9 |
ISSN: | 1361-6447 |
Publisher: | IOP Publishing Ltd. |
Date Published: | 2001-03-09 |
Start Page: | 1943 |
End Page: | 1948 |
URL: | |
DOI: | 10.1088/0305-4470/34/9/311 |
Open access: | yes (repository) |