Élliott H. Lieb

55.4k citations

269 papers · 29.8k indexed · 16 hit papers · h-index 75

Atomic and Molecular Physics, and Optics top 0.02%
Condensed Matter Physics top 0.05%
Mathematical Physics top 0.01%
Applied Mathematics top 0.01%
Statistical and Nonlinear Physics top 0.05%

Co-authors: Haı̈m Brezis Daniel C. Mattis Ian Affleck Hal Tasaki Barry Simon Tom Kennedy Robert Seiringer K. Hepp
Topics: Cold Atom Physics and Bose-Einstein Condensates (50 papers)Spectral Theory in Mathematical Physics (47 papers)Theoretical and Computational Physics (46 papers)
Cited by: Mathematical Physics Condensed Matter Physics Applied Mathematics
Journals: Proceedings of the National Academy of Sciences Physical Review Letters The Journal of Chemical Physics
Partner nations: United States France Austria

In The Last Decade

Élliott H. Lieb

266 papers receiving 28.2k citations

Hit Papers

5 papers align trajectories

What are hit papers?

Hit papers significantly outperform the citation benchmark for their cohort. A paper qualifies if it has ≥500 total citations, achieves ≥1.5× the top-1% citation threshold for papers in the same subfield and year (this is the minimum needed to enter the top 1%, not the average within it), or reaches the top citation threshold in at least one of its specific research topics.

Two theorems on the Hubbard model

1989 1.6k citations Élliott H. Lieb profile →
Rigorous results on valence-bond ground states in antiferromagnets

1987 1.6k citations Élliott H. Lieb et al. profile →
A relation between pointwise convergence of functions and convergence of functionals

1983 1.3k citations Élliott H. Lieb et al. profile →
Valence bond ground states in isotropic quantum antiferromagnets

1988 1.0k citations Élliott H. Lieb et al. profile →
A Relation Between Pointwise Convergence of Functions and Convergence of Functionals

1983 922 citations Élliott H. Lieb et al. profile →
The finite group velocity of quantum spin systems

1972 888 citations Élliott H. Lieb et al. profile →
Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equation

1977 771 citations Élliott H. Lieb Studies in Applied Mathematics profile →
Density functionals for coulomb systems

1983 760 citations Élliott H. Lieb profile →
On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser model

1973 740 citations K. Hepp, Élliott H. Lieb Annals of Physics profile →
Sharp Constants in the Hardy-Littlewood-Sobolev and Related Inequalities

1983 739 citations Élliott H. Lieb profile →
Exact Solution of a Many-Fermion System and Its Associated Boson Field

1965 665 citations Daniel C. Mattis, Élliott H. Lieb profile →
Two-Dimensional Ising Model as a Soluble Problem of Many Fermions

1964 642 citations Daniel C. Mattis, Élliott H. Lieb et al. profile →
Ordering Energy Levels of Interacting Spin Systems

1962 590 citations Élliott H. Lieb, Daniel C. Mattis profile →
Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problem

1971 530 citations H. N. V. Temperley, Élliott H. Lieb Proceedings of the Royal Society of London A Mathematical and Physical Sciences profile →
Thomas-fermi and related theories of atoms and molecules

1981 467 citations Élliott H. Lieb profile →
On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

1976 406 citations H. J. Brascamp, Élliott H. Lieb profile →

Peers

Countries citing papers authored by Élliott H. Lieb

Since Specialization

Citations

This map shows the geographic impact of Élliott H. Lieb's research. It shows the number of citations coming from papers published by authors working in each country. You can also color the map by specialization and compare the number of citations received by Élliott H. Lieb with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Élliott H. Lieb more than expected).

Fields of papers citing papers by Élliott H. Lieb

Since Specialization

Physical SciencesHealth SciencesLife SciencesSocial Sciences

This network shows the impact of papers produced by Élliott H. Lieb. Nodes represent research fields, and links connect fields that are likely to share authors. Colored nodes show fields that tend to cite the papers produced by Élliott H. Lieb. The network helps show where Élliott H. Lieb may publish in the future.

Co-authorship network of co-authors of Élliott H. Lieb

This figure shows the co-authorship network connecting the top 25 collaborators of Élliott H. Lieb. A scholar is included among the top collaborators of Élliott H. Lieb based on the total number of citations received by their joint publications. Widths of edges represent the number of papers authors have co-authored together. Node borders signify the number of papers an author published with Élliott H. Lieb. Élliott H. Lieb is excluded from the visualization to improve readability, since they are connected to all nodes in the network.

All Works

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20 of 20 papers shown

#	Work	Indexed citations
1	Stability estimate for the Lane–Emden inequality 2025 ·Calculus of Variations and Partial Differential Equations ·Eric A. Carlen,Mathieu Lewin,Élliott H. Lieb,Robert Seiringer	1
2	A trace inequality of Ando, Hiai and Okubo and a monotonicity property of the Golden-Thompson inequality 2022 ·arXiv (Cornell University) ·Eric A. Carlen,Élliott H. Lieb	1
3	Inequalities for Lᵖ-Norms that Sharpen the Triangle Inequality and Complement Hanner’s Inequality 2021 ·CaltechAUTHORS (California Institute of Technology) ·Eric A. Carlen,Rupert L. Frank,(unknown),Élliott H. Lieb	1
4	Entropy bounds for reduced density matrices of fermionic states 2014 ·arXiv (Cornell University) ·Eric A. Carlen,Élliott H. Lieb	1
5	Brascamp--Lieb inequalities for non-commutative integration 2008 ·Documenta Mathematica ·Eric A. Carlen,Élliott H. Lieb	4
6	Hardy-Lieb-Thirring inequalities for fractional Schrödinger operators 2007 ·Journal of the American Mathematical Society ·Rupert L. Frank,Élliott H. Lieb,Robert Seiringer	144
7	Ground-state energy of the low-density Fermi gas (13 pages) 2005 ·Physical Review A ·Élliott H. Lieb,Robert Seiringer,Jan Philip Solovej	6
8	Symmetry of the Ginzburg Landau minimizer in a disc 1994 ·Mathematical Research Letters ·Élliott H. Lieb,Michael Loss	24
9	On the number of bound states of a bosonic N-particle Coulomb system. 1993 ·Mathematische Zeitschrift ·Volker Bach,(unknown),Élliott H. Lieb	2
10	Symmetric Decreasing Rearrangement Is Sometimes Continuous 1989 ·Journal of the American Mathematical Society ·Frederick J. Almgren,Élliott H. Lieb	43
11	Why Matter is Stable 1979 ·Chinese Journal of Physics ·Élliott H. Lieb	1
12	Existence and Uniqueness of the Minimizing Solution of Choquard's Nonlinear Equationbreakdown → 1977 ·Studies in Applied Mathematics ·Élliott H. Lieb	771
13	Best constants in Young's inequality, its converse, and its generalization to more than three functions 1976 ·Advances in Mathematics ·H. J. Brascamp,Élliott H. Lieb	197
14	On the superradiant phase transition for molecules in a quantized radiation field: the dicke maser modelbreakdown → 1973 ·Annals of Physics ·K. Hepp,Élliott H. Lieb	740
15	The constitution of matter: Existence of thermodynamics for systems composed of electrons and nuclei 1972 ·Advances in Mathematics ·Élliott H. Lieb,Joel L. Lebowitz	148
16	Relations between the ‘percolation’ and ‘colouring’ problem and other graph-theoretical problems associated with regular planar lattices: some exact results for the ‘percolation’ problembreakdown → 1971 ·Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·H. N. V. Temperley,Élliott H. Lieb	530
17	Some positive definite functions on sets and their application to the Ising model 1971 ·Discrete Mathematics ·Ole J. Heilmann,Daniel J. Kleitman,Élliott H. Lieb,(unknown)	2
18	Proofs of Some Conjectures on Permanents 1966 ·Indiana University Mathematics Journal ·Élliott H. Lieb	33
19	Mathematical physics in one dimension : exactly soluble models of interacting particles : a collection of reprints 1966 ·Academic Press eBooks ·Élliott H. Lieb,Daniel C. Mattis	17
20	A non-perturbation method for non-linear field theories 1957 ·Proceedings of the Royal Society of London A Mathematical and Physical Sciences ·Élliott H. Lieb	9

About Élliott H. Lieb

Élliott H. Lieb is a scholar working on Mathematical Physics, Condensed Matter Physics and Statistical and Nonlinear Physics, having authored 269 papers that have together received 29.8k indexed citations. Recurring topics across this work include Cold Atom Physics and Bose-Einstein Condensates (50 papers), Spectral Theory in Mathematical Physics (47 papers) and Theoretical and Computational Physics (46 papers). The work is most often cited by research in Mathematical Physics (6.9k citations), Condensed Matter Physics (8.4k citations) and Applied Mathematics (6.4k citations). Élliott H. Lieb has collaborated with scholars based in United States, France and Austria. Frequent co-authors include Haı̈m Brezis, Daniel C. Mattis, Ian Affleck, Hal Tasaki, Barry Simon, Tom Kennedy, Robert Seiringer, K. Hepp, Derek W. Robinson and Ole J. Heilmann. Their work appears in journals such as Proceedings of the National Academy of Sciences, Physical Review Letters and The Journal of Chemical Physics.

Rankless uses publication and citation data sourced from OpenAlex, an open and comprehensive bibliographic database. While OpenAlex provides broad and valuable coverage of the global research landscape, it—like all bibliographic datasets—has inherent limitations. These include incomplete records, variations in author disambiguation, differences in journal indexing, and delays in data updates. As a result, some metrics and network relationships displayed in Rankless may not fully capture the entirety of a scholar's output or impact.

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