A new estimate on the indirect Coulomb energy

✍ Scribed by Rafael D. Benguria; Gonzalo A. Bley; Michael Loss

• Publisher: John Wiley and Sons
• Year: 2011
• Tongue: English
• Weight: 100 KB
• Volume: 112
• Category: Article
• ISSN: 0020-7608
• DOI: 10.1002/qua.23148

✦ Synopsis

Abstract

Here we prove a new lower bound on the indirect Coulomb energy in quantum mechanics, in terms of the single particle density of the system. The new universal lower bound is an alternative to the classical Lieb–Oxford bound (with a smaller constant, C = 1.45 < C~LO~ = 1.68) but involving an additive kinetic energy term of the single particle density as well. © 2011 Wiley Periodicals, Inc. Int J Quantum Chem, 2012