{"title":"Scott correction for large atoms and molecules in a self-generated magnetic field","quality_controlled":0,"author":[{"last_name":"Erdös","id":"4DBD5372-F248-11E8-B48F-1D18A9856A87","first_name":"László","full_name":"László Erdös","orcid":"0000-0001-5366-9603"},{"first_name":"Søren","full_name":"Fournais, Søren","last_name":"Fournais"},{"first_name":"Jan","full_name":"Solovej, Jan P","last_name":"Solovej"}],"doi":"10.1007/s00220-012-1468-1","_id":"2774","abstract":[{"text":"We consider a large neutral molecule with total nuclear charge Z in non-relativistic quantum mechanics with a self-generated classical electromagnetic field. To ensure stability, we assume that Zα 2 ≤ κ 0 for a sufficiently small κ 0, where α denotes the fine structure constant. We show that, in the simultaneous limit Z → ∞, α → 0 such that κ = Zα 2 is fixed, the ground state energy of the system is given by a two term expansion c 1Z 7/3 + c 2(κ) Z 2 + o(Z 2). The leading term is given by the non-magnetic Thomas-Fermi theory. Our result shows that the magnetic field affects only the second (so-called Scott) term in the expansion.","lang":"eng"}],"issue":"3","publication":"Communications in Mathematical Physics","publication_status":"published","type":"journal_article","extern":1,"volume":312,"publist_id":"4116","date_updated":"2021-01-12T06:59:36Z","intvolume":"       312","day":"01","page":"847 - 882","year":"2012","status":"public","publisher":"Springer","date_published":"2012-06-01T00:00:00Z","date_created":"2018-12-11T11:59:31Z","month":"06","citation":{"ieee":"L. Erdös, S. Fournais, and J. Solovej, “Scott correction for large atoms and molecules in a self-generated magnetic field,” <i>Communications in Mathematical Physics</i>, vol. 312, no. 3. Springer, pp. 847–882, 2012.","mla":"Erdös, László, et al. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.” <i>Communications in Mathematical Physics</i>, vol. 312, no. 3, Springer, 2012, pp. 847–82, doi:<a href=\"https://doi.org/10.1007/s00220-012-1468-1\">10.1007/s00220-012-1468-1</a>.","ama":"Erdös L, Fournais S, Solovej J. Scott correction for large atoms and molecules in a self-generated magnetic field. <i>Communications in Mathematical Physics</i>. 2012;312(3):847-882. doi:<a href=\"https://doi.org/10.1007/s00220-012-1468-1\">10.1007/s00220-012-1468-1</a>","short":"L. Erdös, S. Fournais, J. Solovej, Communications in Mathematical Physics 312 (2012) 847–882.","apa":"Erdös, L., Fournais, S., &#38; Solovej, J. (2012). Scott correction for large atoms and molecules in a self-generated magnetic field. <i>Communications in Mathematical Physics</i>. Springer. <a href=\"https://doi.org/10.1007/s00220-012-1468-1\">https://doi.org/10.1007/s00220-012-1468-1</a>","chicago":"Erdös, László, Søren Fournais, and Jan Solovej. “Scott Correction for Large Atoms and Molecules in a Self-Generated Magnetic Field.” <i>Communications in Mathematical Physics</i>. Springer, 2012. <a href=\"https://doi.org/10.1007/s00220-012-1468-1\">https://doi.org/10.1007/s00220-012-1468-1</a>.","ista":"Erdös L, Fournais S, Solovej J. 2012. Scott correction for large atoms and molecules in a self-generated magnetic field. Communications in Mathematical Physics. 312(3), 847–882."}}