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math-ph2022
A trace inequality of Ando, Hiai and Okubo and a monotonicity property of the Golden-Thompson inequality
Eric A. Carlen, Elliott H. Lieb
The Golden-Thompson trace inequality which states that has proved to be very useful in quantum statistical mechanics. Golden used it to show that t…
math-ph2022★ 19 cited
Improved Lieb-Oxford bound on the indirect and exchange energies
Mathieu Lewin, Elliott H. Lieb, Robert Seiringer
The Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a classical system of identical charges only in terms of their one-particle density. We prove here a…