{"day":"01","doi":"10.1007/s00220-009-0869-2","extern":1,"month":"02","title":"Ground state energy of large atoms in a self-generated magnetic field","year":"2010","publication_status":"published","abstract":[{"text":"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.","lang":"eng"}],"date_published":"2010-02-01T00:00:00Z","publication":"Communications in Mathematical Physics","author":[{"full_name":"László Erdös","last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","orcid":"0000-0001-5366-9603","first_name":"László"},{"full_name":"Solovej, Jan P","last_name":"Solovej","first_name":"Jan"}],"date_created":"2018-12-11T11:59:26Z","intvolume":" 294","volume":294,"citation":{"ama":"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","short":"L. Erdös, J. Solovej, Communications in Mathematical Physics 294 (2010) 229–249.","mla":"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.","ieee":"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.","chicago":"Erdös, 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.","ista":"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.","apa":"Erdös, 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/s00220-009-0869-2"},"_id":"2756","publisher":"Springer","publist_id":"4136","status":"public","issue":"1","type":"journal_article","date_updated":"2021-01-12T06:59:29Z","quality_controlled":0,"page":"229 - 249"}