{ "id": "math-ph/0603079", "version": "v1", "published": "2006-03-29T18:31:57.000Z", "updated": "2006-03-29T18:31:57.000Z", "title": "The Ground State Energy of Heavy Atoms According to Brown and Ravenhall: Absence of Relativistic Effects in Leading Order", "authors": [ "Roch Cassanas", "Heinz Siedentop" ], "journal": "J. Phys. A 39 (2006), no. 33, 10405--10414", "doi": "10.1088/0305-4470/39/33/010", "categories": [ "math-ph", "math.MP" ], "abstract": "It is shown that the ground state energy of heavy atoms is, to leading order, given by the non-relativistic Thomas-Fermi energy. The proof is based on the relativistic Hamiltonian of Brown and Ravenhall which is derived from quantum electrodynamics yielding energy levels correctly up to order $\\alpha^2$Ry.", "revisions": [ { "version": "v1", "updated": "2006-03-29T18:31:57.000Z" } ], "analyses": { "subjects": [ "81V45" ], "keywords": [ "ground state energy", "heavy atoms", "leading order", "relativistic effects", "yielding energy levels" ], "tags": [ "journal article" ], "publication": { "journal": "Journal of Physics A Mathematical General", "year": 2006, "month": "Aug", "volume": 39, "number": 33, "pages": 10405 }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006JPhA...3910405C" } } }