H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 88 Citations 39,367 233 World Ranking 37 National Ranking 24

Research.com Recognitions

Awards & Achievements

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

Overview

What is he best known for?

The fields of study he is best known for:

  • 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.

His most cited work include:

  • 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)

What are the main themes of his work throughout his whole career to date?

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.

He most often published in these fields:

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

What were the highlights of his more recent work (between 2009-2021)?

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

In recent papers he was focusing on the following fields of study:

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.

Between 2009 and 2021, his most popular works were:

  • 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)

In his most recent research, the most cited papers focused on:

  • 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.

Top Publications

Two Soluble Models of an Antiferromagnetic Chain

Elliott Lieb;Theodore Schultz;Daniel Mattis.
Annals of Physics (1961)

4060 Citations

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

Elliott H. Lieb;Werner Liniger.
Physical Review (1963)

2855 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)

2592 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)

1906 Citations

Two Theorems on the Hubbard Model

Elliott H. Lieb.
Physical Review Letters (1989)

1755 Citations

Rigorous Results on Valence-Bond Ground States in Antiferromagnets

Ian Affleck;Ian Affleck;Tom Kennedy;Elliott H. Lieb;Hal Tasaki.
Physical Review Letters (1987)

1642 Citations

Valence Bond Ground States in Isotropic Quantum Antiferromagnets

Ian Affleck;Tom Kennedy;Elliott H. Lieb;Hal Tasaki.
Communications in Mathematical Physics (1988)

1619 Citations

Analysis, Second edition

Elliott Lieb;Michael Loss.
(2001)

1494 Citations

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

Elliott H. Lieb.
Annals of Mathematics (1983)

1377 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)

1163 Citations

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.

Contact us

Top Scientists Citing Elliott H. Lieb

Rupert L. Frank

Rupert L. Frank

Ludwig-Maximilians-Universität München

Publications: 115

Vladimir E. Korepin

Vladimir E. Korepin

Stony Brook University

Publications: 80

Jürg Fröhlich

Jürg Fröhlich

ETH Zurich

Publications: 79

Joel L. Lebowitz

Joel L. Lebowitz

Rutgers, The State University of New Jersey

Publications: 74

Benjamin Schlein

Benjamin Schlein

University of Zurich

Publications: 71

Marco Squassina

Marco Squassina

Catholic University of the Sacred Heart

Publications: 67

Jean Dolbeault

Jean Dolbeault

Paris Dauphine University

Publications: 65

Mark M. Wilde

Mark M. Wilde

Louisiana State University

Publications: 57

Barry Simon

Barry Simon

California Institute of Technology

Publications: 57

Herbert Spohn

Herbert Spohn

Technical University of Munich

Publications: 55

Michael Loss

Michael Loss

Georgia Institute of Technology

Publications: 53

Jesper Lykke Jacobsen

Jesper Lykke Jacobsen

École Normale Supérieure

Publications: 53

Murray T. Batchelor

Murray T. Batchelor

Australian National University

Publications: 52

Nikita Andreevich Slavnov

Nikita Andreevich Slavnov

Russian Academy of Sciences

Publications: 46

Sylvia Serfaty

Sylvia Serfaty

Courant Institute of Mathematical Sciences

Publications: 45

Something went wrong. Please try again later.