On the ordering of energy levels in homogeneous magnetic fields

B. Baumgartner, R. Seiringer, Letters in Mathematical Physics 54 (2000) 213–226.


Journal Article | Published
Author
;
Abstract
We study the energy levels of a single particle in a homogeneous magnetic field and in an axially symmetric external potential. For potentials that are superharmonic off the central axis, we find a general 'pseudoconcave' ordering of the ground state energies of the Hamiltonian restricted to the sectors with fixed angular momentum. The physical applications include atoms and ions in strong magnetic fields. There the energies are monotone increasing and concave in angular momentum. In the case of a periodic chain of atoms, the pseudoconcavity extends to the entire lowest band of Bloch functions.
Publishing Year
Date Published
2000-11-01
Journal Title
Letters in Mathematical Physics
Volume
54
Issue
3
Page
213 - 226
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Cite this

Baumgartner B, Seiringer R. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 2000;54(3):213-226. doi:    10.1023/A:1010978807635
Baumgartner, B., & Seiringer, R. (2000). On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics, 54(3), 213–226. https://doi.org/    10.1023/A:1010978807635
Baumgartner, Bernhard, and Robert Seiringer. “On the Ordering of Energy Levels in Homogeneous Magnetic Fields.” Letters in Mathematical Physics 54, no. 3 (2000): 213–26. https://doi.org/    10.1023/A:1010978807635.
B. Baumgartner and R. Seiringer, “On the ordering of energy levels in homogeneous magnetic fields,” Letters in Mathematical Physics, vol. 54, no. 3, pp. 213–226, 2000.
Baumgartner B, Seiringer R. 2000. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 54(3), 213–226.
Baumgartner, Bernhard, and Robert Seiringer. “On the Ordering of Energy Levels in Homogeneous Magnetic Fields.” Letters in Mathematical Physics, vol. 54, no. 3, Springer, 2000, pp. 213–26, doi:    10.1023/A:1010978807635.

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