# On the ordering of energy levels in homogeneous magnetic fields

Baumgartner B, Seiringer R. 2000. On the ordering of energy levels in homogeneous magnetic fields. Letters in Mathematical Physics. 54(3), 213–226.

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Author

Baumgartner, Bernhard;
Seiringer, Robert

^{IST Austria}^{}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:1010978807635Baumgartner, B., & Seiringer, R. (2000). On the ordering of energy levels in homogeneous magnetic fields.

*Letters in Mathematical Physics*. Springer. https://doi.org/ 10.1023/A:1010978807635Baumgartner, Bernhard, and Robert Seiringer. “On the Ordering of Energy Levels in Homogeneous Magnetic Fields.”

*Letters in Mathematical Physics*. Springer, 2000. 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. Springer, pp. 213–226, 2000.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.**All files available under the following license(s):**

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