# Ground state energy of large atoms in a self-generated magnetic field

Erdös L, Solovej J. 2010. Ground state energy of large atoms in a self-generated magnetic field. Communications in Mathematical Physics. 294(1), 229–249.

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Author

Erdös, László

^{IST Austria}^{}; Solovej, Jan PAbstract

We consider a large atom with nuclear charge Z described by non-relativistic quantum mechanics with classical or quantized electromagnetic field. We prove that the absolute ground state energy, allowing for minimizing over all possible self-generated electromagnetic fields, is given by the non-magnetic Thomas-Fermi theory to leading order in the simultaneous Z → ∞, α → 0 limit if Zα2 ≤ κ for some universal κ, where α is the fine structure constant.

Publishing Year

Date Published

2010-02-01

Journal Title

Communications in Mathematical Physics

Volume

294

Issue

1

Page

229 - 249

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### Cite this

Erdös L, Solovej J. Ground state energy of large atoms in a self-generated magnetic field.

*Communications in Mathematical Physics*. 2010;294(1):229-249. doi:10.1007/s00220-009-0869-2Erdös, L., & Solovej, J. (2010). Ground state energy of large atoms in a self-generated magnetic field.

*Communications in Mathematical Physics*. Springer. https://doi.org/10.1007/s00220-009-0869-2Erdös, László, and Jan Solovej. “Ground State Energy of Large Atoms in a Self-Generated Magnetic Field.”

*Communications in Mathematical Physics*. Springer, 2010. https://doi.org/10.1007/s00220-009-0869-2.L. Erdös and J. Solovej, “Ground state energy of large atoms in a self-generated magnetic field,”

*Communications in Mathematical Physics*, vol. 294, no. 1. Springer, pp. 229–249, 2010.Erdös, László, and Jan Solovej. “Ground State Energy of Large Atoms in a Self-Generated Magnetic Field.”

*Communications in Mathematical Physics*, vol. 294, no. 1, Springer, 2010, pp. 229–49, doi:10.1007/s00220-009-0869-2.