On the maximal ionization of atoms in strong magnetic fields

Details On the maximal ionization of atoms in strong magnetic fields On the maximal ionization of atoms in strong magnetic fields

2000-06-05

arxiv.org/abs/math-ph/0006002v1

J. Phys. A: Math. Gen. 34, 1943 (2001)

Physics

Mathematical Physics

LaTeX2e, 8 pages

Scientific paper

10.1088/0305-4470/34/9/311

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 N_c<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 order $Z\times\min{(B/Z^3)^{2/5},1+|\ln(B/Z^3)|^2}$.

Affiliated with

Also associated with

No associations

Rating

On the maximal ionization of atoms in strong magnetic fields does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the maximal ionization of atoms in strong magnetic fields, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the maximal ionization of atoms in strong magnetic fields will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-578938