Barry Simon
Impact in
- Mathematical Physics top 0.01%
- Spectral Theory in Mathematical Physics
- Numerical methods in inverse problems
- Statistical and Nonlinear Physics top 0.01%
- Quantum chaos and dynamical systems
Papers in
-
- Spectral Theory in Mathematical Physics 258
- Numerical methods in inverse problems 57
-
- Quantum chaos and dynamical systems 113
- Co-authors
- J. E. Avron (24 shared papers)Élliott H. Lieb (17 shared papers)Michael C. Reed (7 shared papers)Fritz Gesztesy (30 shared papers)Hans L. Cycon (2 shared papers)Ira Herbst (9 shared papers)Arnold A. Dicke (1 shared paper)E. B. Davies (8 shared papers)
- Journals
- Communications in Mathematical Physics (60 papers)Journal of Functional Analysis (38 papers)Proceedings of the American Mathematical Society (30 papers)Physical Review Letters (23 papers)Journal of Statistical Physics (13 papers)
- Partner nations
- United StatesIsraelFrance
In The Last Decade
Barry Simon
433 papers receiving 27.8k citations
Barry Simon's Hit Papers
Peers
Comparison fields: 5 of 147
- Mathematical Physics 17.2k
- Statistical and Nonlinear Physics 8.6k
- Applied Mathematics 6.7k
- Computational Theory and Mathematics 6.8k
- Atomic and Molecular Physics, and Optics 11.4k
Countries citing papers authored by Barry Simon
This map shows the geographic impact of Barry Simon'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 Barry Simon with the expected number of citations based on a country's size and research output (numbers larger than one mean the country cites Barry Simon more than expected).
Fields of papers citing papers by Barry Simon
This network shows the impact of papers produced by Barry Simon. 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 Barry Simon. The network helps show where Barry Simon may publish in the future.
Co-authors
The 25 scholars most cited alongside Barry Simon, linked wherever they have co-authored with each other. Click a name or a connecting line to browse the papers they share.
All Works
Showing the 20 most-cited of 447 papers — load more, or switch the sort, to bring in the rest.
| # | Work | ||
|---|---|---|---|
| 1 | Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase Hit paper breakdown → | 1983 | 1295 |
| 2 | Functional Integration and Quantum Physics Hit paper breakdown → | 1979 | 826 |
| 3 | Trace Ideals and Their Applications Hit paper breakdown → | 2010 | 760 |
| 4 | Schrödinger semigroups Hit paper breakdown → | 1982 | 705 |
| 5 | Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry Hit paper breakdown → | 1987 | 682 |
| 6 | Schrödinger Operators Hit paper breakdown → | 1987 | 589 |
| 7 | Coupling constant analyticity for the anharmonic oscillator Hit paper breakdown → | 1970 | 569 |
| 8 | Methods of modern mathematical physics. III. Scattering theory Hit paper breakdown → | 1979 | 551 |
| 9 | 1973 | 520 | |
| 10 | 1977 | 464 | |
| 11 | Analysis of Operators Hit paper breakdown → | 1978 | 445 |
| 12 | Orthogonal Polynomials on the Unit Circle Hit paper breakdown → | 2005 | 422 |
| 13 | Homotopy and Quantization in Condensed Matter Physics Hit paper breakdown → | 1983 | 416 |
| 14 | 1972 | 409 | |
| 15 | 1976 | 409 | |
| 16 | The definition of molecular resonance curves by the method of exterior complex scaling Hit paper breakdown → | 1979 | 406 |
| 17 | 1982 | 381 | |
| 18 | 1982 | 358 | |
| 19 | 1976 | 345 | |
| 20 | 1978 | 327 |
About Barry Simon
Barry Simon is a scholar working on Mathematical Physics, Statistical and Nonlinear Physics, Applied Mathematics, Computational Theory and Mathematics and Atomic and Molecular Physics, and Optics, having authored 447 papers that have together received 30.4k indexed citations. Recurring topics across this work include Spectral Theory in Mathematical Physics (258 papers), Quantum chaos and dynamical systems (113 papers), Numerical methods in inverse problems (57 papers), Mathematical functions and polynomials (52 papers), Matrix Theory and Algorithms (50 papers), Advanced Mathematical Modeling in Engineering (50 papers), Theoretical and Computational Physics (35 papers) and Quantum Mechanics and Non-Hermitian Physics (33 papers). The work is most often cited by research in Mathematical Physics (17.2k citations), Statistical and Nonlinear Physics (8.6k citations), Applied Mathematics (6.7k citations), Computational Theory and Mathematics (6.8k citations) and Atomic and Molecular Physics, and Optics (11.4k citations). Barry Simon has collaborated with scholars based in United States, Israel and France. Frequent co-authors include J. E. Avron, Élliott H. Lieb, Michael C. Reed, Fritz Gesztesy, Hans L. Cycon, Ira Herbst, Arnold A. Dicke, E. B. Davies, Yoram Last and Werner Kirsch. Their work appears in journals such as Communications in Mathematical Physics, Journal of Functional Analysis, Proceedings of the American Mathematical Society, Physical Review Letters and Journal of Statistical 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.