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- Elliott H. Lieb

Mathematics

USA

2023

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
105
Citations
61,576
452
World Ranking
23
National Ranking
17

Physics
D-index
99
Citations
59,351
394
World Ranking
1117
National Ranking
597

2023 - Research.com Mathematics in United States Leader Award

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

- Quantum mechanics
- Mathematical analysis
- Electron

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.

- Two Soluble Models of an Antiferromagnetic Chain (2618 citations)
- Absence of Mott Transition in an Exact Solution of the Short-Range, One-Band Model in One Dimension (1849 citations)
- EXACT ANALYSIS OF AN INTERACTING BOSE GAS. I. THE GENERAL SOLUTION AND THE GROUND STATE (1803 citations)

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.

- Quantum mechanics (35.41%)
- Ground state (25.32%)
- Condensed matter physics (13.21%)

- Quantum mechanics (35.41%)
- Pure mathematics (10.64%)
- Ground state (25.32%)

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.

- Monotonicity of a relative Rényi entropy (226 citations)
- Monotonicity of a relative R'enyi entropy (178 citations)
- Sharp constants in several inequalities on the Heisenberg group (125 citations)

- Quantum mechanics
- Mathematical analysis
- Electron

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 H. Lieb;Theodore Schultz;Daniel Mattis.

Annals of Physics **(1961)**

4527 Citations

EXACT ANALYSIS OF AN INTERACTING BOSE GAS. I. THE GENERAL SOLUTION AND THE GROUND STATE

Elliott H. Lieb;Werner Liniger.

Physical Review **(1963)**

3150 Citations

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)**

3061 Citations

A relation between pointwise convergence of functions and convergence of functionals

Haïm Brezis;Elliott Lieb;Elliott Lieb.

Proceedings of the American Mathematical Society **(1983)**

2261 Citations

Analysis, Second edition

Elliott Lieb;Michael Loss.

**(2001)**

2136 Citations

Two Theorems on the Hubbard Model

Elliott H. Lieb.

Physical Review Letters **(1989)**

2022 Citations

Valence Bond Ground States in Isotropic Quantum Antiferromagnets

Ian Affleck;Tom Kennedy;Elliott H. Lieb;Hal Tasaki.

Communications in Mathematical Physics **(1988)**

1748 Citations

Rigorous Results on Valence-Bond Ground States in Antiferromagnets

Ian Affleck;Tom Kennedy;Elliott H. Lieb;Hal Tasaki.

Physical Review Letters **(1987)**

1714 Citations

Sharp constants in the Hardy-Littlewood-Sobolev and related inequalities

Elliott H. Lieb.

Annals of Mathematics **(1983)**

1629 Citations

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)**

1497 Citations

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