Zobrazeno 1 - 10
of 599
pro vyhledávání: '"Lieb, Elliott H."'
Publikováno v:
Lett. Math. Phys. 112:92 (2022)
The Lieb-Oxford inequality provides a lower bound on the Coulomb energy of a classical system of $N$ identical charges only in terms of their one-particle density. We prove here a new estimate on the best constant in this inequality. Numerical evalua
Externí odkaz:
http://arxiv.org/abs/2203.12473
Autor:
Carlen, Eric A., Lieb, Elliott H.
The Golden-Thompson trace inequality which states that $Tr\, e^{H+K} \leq Tr\, e^H e^K$ has proved to be very useful in quantum statistical mechanics. Golden used it to show that the classical free energy is less than the quantum one. Here we make th
Externí odkaz:
http://arxiv.org/abs/2203.06136
Autor:
Lieb, Elliott H, Sahi, Siddhartha
The 1971 Fortuin-Kasteleyn-Ginibre (FKG) inequality for two monotone functions on a distributive lattice is well known and has seen many applications in statistical mechanics and other fields of mathematics. In 2008 one of us (Sahi) conjectured an ex
Externí odkaz:
http://arxiv.org/abs/2107.09838
Publikováno v:
Phys. Rev. A 103, 053309 (2021)
In 1963, a Simple Approach was developed to study the ground state energy of an interacting Bose gas. It consists in the derivation of an Equation, which is not based on perturbation theory, and which gives the exact expansion of the energy at low de
Externí odkaz:
http://arxiv.org/abs/2011.10869