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Some bound state problems in quantum mechanics. In: Spectral theory and mathematical physics: a Festschrift in honor
 of Barry Simon’s 60th birthday, 463–496, Proc. Sympos. Pure Math. 76, Part 1
, 2007
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The ground state energy of heavy atoms: relativistic lowering of the leading energy correction
 Comm. Math. Phys
, 2008
"... Abstract. We describe atoms by a pseudorelativistic model that has its origin in the work of Chandrasekhar. We prove that the leading energy correction for heavy atoms, the Scott correction, exists. It turns out to be lower than in the nonrelativistic description of atoms. Our proof is valid up to ..."
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Abstract. We describe atoms by a pseudorelativistic model that has its origin in the work of Chandrasekhar. We prove that the leading energy correction for heavy atoms, the Scott correction, exists. It turns out to be lower than in the nonrelativistic description of atoms. Our proof is valid up to and including the critical coupling constant. It is based on a renormalization of the energy whose zero level we adjust to be the groundstate energy of the corresponding nonrelativistic problem. This allows us to roll the proof back – by relatively simple technical means – to results for the Schrödinger operator. 1.