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

L. Erdös, J. Solovej, Communications in Mathematical Physics 294 (2010) 229–249.

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Abstract
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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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/s00220-009-0869-2
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. https://doi.org/10.1007/s00220-009-0869-2
Erdös, László, and Jan Solovej. “Ground State Energy of Large Atoms in a Self-Generated Magnetic Field.” Communications in Mathematical Physics 294, no. 1 (2010): 229–49. 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, pp. 229–249, 2010.
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.
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.

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