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| Lieb, Elliott H. III | |
|---|---|
| Name | Elliott H. Lieb III |
| Birth date | 1932 |
| Birth place | New York City |
| Fields | Mathematical physics, statistical mechanics, quantum mechanics |
| Institutions | Princeton University, Harvard University, Rutgers University, Institute for Advanced Study |
| Alma mater | Harvard University |
| Doctoral advisor | Lars A. Ahlfors |
| Known for | Lieb–Thirring inequality, Lieb-Robinson bounds, stability of matter |
Lieb, Elliott H. III Elliott H. Lieb III is an American mathematical physicist known for foundational work in quantum mechanics, statistical mechanics, and mathematical analysis. His research has influenced developments in condensed matter physics, quantum information, and the mathematical study of many-body systems, leading to numerous awards and cross-disciplinary collaborations with institutions such as Princeton University, Harvard University, and the Institute for Advanced Study.
Lieb was born in New York City and educated at Harvard University where he completed undergraduate and graduate studies, studying under adviser Lars A. Ahlfors. During his formative years he interacted with scholars from Massachusetts Institute of Technology and visited the Institute for Advanced Study, connecting with figures associated with Princeton University and the broader mathematical community including members of the American Mathematical Society and the National Academy of Sciences.
Lieb held faculty positions at Princeton University, Rutgers University, and Harvard University, and spent time at the Institute for Advanced Study collaborating with researchers from Bell Labs, Los Alamos National Laboratory, and international centers like the Courant Institute and the Institute Henri Poincaré. He served as a mentor to graduate students who later joined faculties at University of California, Berkeley, Massachusetts Institute of Technology, and University of Cambridge. Lieb participated in programs organized by the National Science Foundation and gave invited lectures at venues such as the International Congress of Mathematicians and the Royal Society.
Lieb developed seminal results including the Lieb–Thirring inequality with Walter Thirring, the Lieb–Robinson bounds (often cited alongside Elliott Lieb's collaborators), and rigorous proofs related to the stability of matter, collaborating with Freeman Dyson. His work on entropy inequalities and convexity theorems influenced studies in quantum information theory and led to collaborations with researchers at Bell Labs and the Institute for Advanced Study. Lieb's contributions to the mathematical understanding of Bose–Einstein condensation, Fermi gases, and interacting particle systems intersect with work by Ludwig Boltzmann's legacy, John von Neumann's foundations, and modern developments in condensed matter physics. He established sharp constants and monotonicity results used by scholars at Rutgers University, Harvard University, and Princeton University and informed analytical approaches in research at Los Alamos National Laboratory and the Perimeter Institute.
Lieb's recognition includes election to the National Academy of Sciences and membership in the American Academy of Arts and Sciences. He received prizes such as the Boltzmann Medal (contextually linked to contributions in statistical mechanics), awards from the American Mathematical Society, and honors from international bodies like the Royal Society’s affiliated societies and the Europäische Akademie. Lieb has been a fellow of the American Physical Society and a recipient of medals presented at meetings of the International Centre for Theoretical Physics and the International Congress of Mathematicians.
- "Inequalities for eigenvalues of the Schrödinger operator", coauthored work connected to the Lieb–Thirring inequality and discussions with Walter Thirring and colleagues at Princeton University. - Papers on the "stability of matter" with Freeman Dyson addressing questions posed in the context of quantum mechanics and statistical mechanics. - Articles establishing entropy and convexity results that influenced quantum information theory and studies at institutions such as Harvard University and the Institute for Advanced Study. - Works on bounds for propagation in lattice systems often cited alongside developments at the Perimeter Institute and in research from Rutgers University.
Category:Mathematical physicists Category:Members of the United States National Academy of Sciences