2014 - Member of Academia Europaea
2013 - Fellow of the American Mathematical Society
2013 - Fellow of the Royal Society, United Kingdom
2003 - Henri Poincaré Prize, International Association of Mathematical Physics
2001 - Rolf Schock Prize for Mathematics
1994 - Fellow of the American Academy of Arts and Sciences
1994 - Fellow of the American Association for the Advancement of Science (AAAS)
1992 - Max Planck Medal, German Physical Society
1984 - Member of the National Academy of Sciences
1978 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics
1972 - Fellow of John Simon Guggenheim Memorial Foundation
Elliott H. Lieb spends much of his time researching Quantum mechanics, Ground state, Mathematical physics, Condensed matter physics and Combinatorics. His Quantum mechanics study focuses mostly on Coulomb, Pauli exclusion principle, Hamiltonian, Fermion and Effective nuclear charge. Elliott H. Lieb combines subjects such as Hubbard model, Quantum electrodynamics, Electron and Ferromagnetism with his study of Ground state.
His Mathematical physics research is multidisciplinary, relying on both Eigenvalues and eigenvectors, Square-lattice Ising model and Conjecture. His biological study spans a wide range of topics, including Exact solutions in general relativity and Free electron model. Elliott H. Lieb has included themes like Function, Sobolev inequality, Mathematical analysis and Constant in his Combinatorics study.
His main research concerns Quantum mechanics, Ground state, Condensed matter physics, Mathematical analysis and Mathematical physics. His work carried out in the field of Quantum mechanics brings together such families of science as Quantum electrodynamics and Upper and lower bounds. The Ground state study combines topics in areas such as Schrödinger equation, Scattering length, Bose gas, Polaron and Coupling constant.
Condensed matter physics and Quantum are frequently intertwined in his study. His research investigates the connection between Mathematical analysis and topics such as Pure mathematics that intersect with issues in Inequality. His Electron study integrates concerns from other disciplines, such as Magnetic field and Atomic physics.
Elliott H. Lieb mainly investigates Quantum mechanics, Pure mathematics, Ground state, Combinatorics and Mathematical analysis. His studies in Quantum mechanics integrate themes in fields like Condensed matter physics and Filling factor. His Condensed matter physics research includes elements of State and Thermodynamic limit.
His Pure mathematics research is multidisciplinary, incorporating perspectives in Quantum, Inequality and Generalization. His study explores the link between Ground state and topics such as Bose gas that cross with problems in Correlation function, Momentum and Observable. Elliott H. Lieb interconnects Function, Upper and lower bounds, Quantum relative entropy and Rényi entropy in the investigation of issues within Combinatorics.
Elliott H. Lieb mostly deals with Quantum mechanics, Pure mathematics, Sobolev inequality, Conjecture and Mathematical analysis. In most of his Quantum mechanics studies, his work intersects topics such as Condensed matter physics. His research in Pure mathematics intersects with topics in Quantum, Kullback–Leibler divergence and Inequality.
His Sobolev inequality study incorporates themes from Bound state, Log sum inequality, Heisenberg group, Eigenvalues and eigenvectors and Laplace operator. As a part of the same scientific study, Elliott H. Lieb usually deals with the Conjecture, concentrating on Entropy and frequently concerns with Monotone polygon. His studies deal with areas such as Phase transition and Subharmonic as well as Mathematical analysis.
This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.
Two Soluble Models of an Antiferromagnetic Chain
Elliott Lieb;Theodore Schultz;Daniel Mattis.
Annals of Physics (1961)
EXACT ANALYSIS OF AN INTERACTING BOSE GAS. I. THE GENERAL SOLUTION AND THE GROUND STATE
Elliott H. Lieb;Werner Liniger.
Physical Review (1963)
Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension
Elliott H. Lieb;F. Y. Wu.
Physical Review Letters (1968)
A Relation Between Pointwise Convergence of Functions and Convergence of Functionals
Haïm Brezis;Elliott Lieb;Elliott Lieb.
Proceedings of the American Mathematical Society (1983)
Two Theorems on the Hubbard Model
Elliott H. Lieb.
Physical Review Letters (1989)
Rigorous Results on Valence-Bond Ground States in Antiferromagnets
Ian Affleck;Ian Affleck;Tom Kennedy;Elliott H. Lieb;Hal Tasaki.
Physical Review Letters (1987)
Valence Bond Ground States in Isotropic Quantum Antiferromagnets
Ian Affleck;Tom Kennedy;Elliott H. Lieb;Hal Tasaki.
Communications in Mathematical Physics (1988)
Analysis, Second edition
Elliott Lieb;Michael Loss.
Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities
Elliott H. Lieb.
Annals of Mathematics (1983)
Relations between the 'percolation' and 'colouring' problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the 'percolation' problem
H. N. V. Temperley;Elliott H Lieb.
Proceedings of The Royal Society A: Mathematical, Physical and Engineering Sciences (1971)
Profile was last updated on December 6th, 2021.
Research.com Ranking is based on data retrieved from the Microsoft Academic Graph (MAG).
The ranking h-index is inferred from publications deemed to belong to the considered discipline.
If you think any of the details on this page are incorrect, let us know.
We appreciate your kind effort to assist us to improve this page, it would be helpful providing us with as much detail as possible in the text box below: