The work of Elliott Lieb
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Publication:6200323
DOI10.4171/icm2022/216arXiv2207.05131OpenAlexW4389819825MaRDI QIDQ6200323
Publication date: 22 March 2024
Published in: International Congress of Mathematicians (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2207.05131
functional inequalitiesstatistical mechanicssharp constantsquantum many body systemsmathematical condensed matter physics
Biographies, obituaries, personalia, bibliographies (01A70) History of statistical mechanics (82-03)
Cites Work
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- Maximizers for the Stein-Tomas inequality
- Sharp constants in several inequalities on the Heisenberg group
- Strichartz inequality for orthonormal functions
- Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
- On the lowest eigenvalue of the Laplacian for the intersection of two domains
- Gaussian kernels have only Gaussian maximizers
- Ground state energy of the two-component charged Bose gas
- An \(L^ p\) bound for the Riesz and Bessel potentials of orthonormal functions
- On characteristic exponents in turbulence
- On extensions of the Brunn-Minkowski and Prekopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation
- Best constants in Young's inequality, its converse, and its generalization to more than three functions
- The constitution of matter: existence of thermodynamics for systems composed of electrons and nuclei.
- The Thomas-Fermi theory of atoms, molecules and solids
- Sharp uniform convexity and smoothness inequalities for trace norms
- The local density approximation in density functional theory
- Convex trace functions and the Wigner-Yanase-Dyson conjecture
- A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
- The stability of matter: from atoms to stars
- Thomas-fermi and related theories of atoms and molecules
- Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation
- Stability of Matter in Magnetic Fields
- Statistical mechanics of the uniform electron gas
- Exact Analysis of an Interacting Bose Gas. I. The General Solution and the Ground State
- Ground state energy of the one-component charged Bose gas.
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