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- Barry Simon

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
116
Citations
74,785
529
World Ranking
6
National Ranking
4

Physics
D-index
90
Citations
56,264
268
World Ranking
1575
National Ranking
839

2023 - Research.com Mathematics in United States Leader Award

2022 - Research.com Mathematics in United States Leader Award

2019 - Member of the National Academy of Sciences

2018 - Dannie Heineman Prize for Mathematical Physics, American Physical Society and American Institute of Physics

2016 - Steele Prize for Lifetime Achievement

2013 - Fellow of the American Mathematical Society

2012 - Henri Poincaré Prize, International Association of Mathematical Physics

2005 - Fellow of the American Academy of Arts and Sciences

1988 - Fellow of John Simon Guggenheim Memorial Foundation

- Quantum mechanics
- Mathematical analysis
- Algebra

His main research concerns Quantum mechanics, Mathematical analysis, Mathematical physics, Pure mathematics and Schrödinger's cat. Quantum mechanics is often connected to Padé approximant in his work. His study explores the link between Mathematical analysis and topics such as Inverse that cross with problems in Operator.

His biological study spans a wide range of topics, including Classical limit, Perturbation theory, Hall effect and Quantum Hall effect. His research integrates issues of Continuous spectrum and Chebyshev polynomials, Spectrum, Algebra in his study of Pure mathematics. His Spectrum research is multidisciplinary, relying on both Discrete mathematics and Transfer.

- Methods of Modern Mathematical Physics (8529 citations)
- Trace ideals and their applications (1836 citations)
- Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry (1256 citations)

Barry Simon mainly focuses on Pure mathematics, Mathematical physics, Mathematical analysis, Combinatorics and Schrödinger's cat. The Pure mathematics study combines topics in areas such as Discrete mathematics and Spectrum. His research on Mathematical physics frequently connects to adjacent areas such as Quantum mechanics.

His Mathematical analysis study combines topics from a wide range of disciplines, such as Eigenvalues and eigenvectors, Eigenfunction and Inverse. His is involved in several facets of Combinatorics study, as is seen by his studies on Orthogonal polynomials and Orthogonal polynomials on the unit circle. His Orthogonal polynomials study incorporates themes from Real line and Unit circle.

- Pure mathematics (23.22%)
- Mathematical physics (21.72%)
- Mathematical analysis (21.72%)

- Pure mathematics (23.22%)
- Combinatorics (16.58%)
- Algebra (5.97%)

Barry Simon spends much of his time researching Pure mathematics, Combinatorics, Algebra, Mathematical analysis and Mathematical physics. Barry Simon usually deals with Pure mathematics and limits it to topics linked to Matrix and Monotonic function. His study in Combinatorics is interdisciplinary in nature, drawing from both Discrete mathematics and Simple.

His Algebra research incorporates elements of Orthogonal polynomials and Spectral theory. Barry Simon is involved in the study of Mathematical analysis that focuses on Dirichlet boundary condition in particular. Specifically, his work in Mathematical physics is concerned with the study of Schrödinger's cat.

- Studies in mathematical physics : essays in honor of Valentine Bargmann (66 citations)
- Asymptotics of Chebyshev polynomials, I : subsets of R (32 citations)
- Eigenvalue bounds for Schrödinger operators with complex potentials. II (29 citations)

- Quantum mechanics
- Mathematical analysis
- Algebra

His primary areas of investigation include Pure mathematics, Combinatorics, Mathematical physics, Chebyshev polynomials and Algebra. His Pure mathematics research focuses on subjects like Upper and lower bounds, which are linked to Laplace operator, Spectrum and Metric. His work deals with themes such as Discrete mathematics, Norm and Residual, which intersect with Combinatorics.

His Schrödinger's cat study in the realm of Mathematical physics interacts with subjects such as BCS theory. His Schrödinger's cat research incorporates themes from Bound state, Dimension, Quantum superposition and Constant. His Algebra research is multidisciplinary, incorporating elements of Orthogonal polynomials, Spectral theory and Integrable system.

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.

Methods of Modern Mathematical Physics

Michael Reed;Barry Simon.

**(1972)**

21766 Citations

Trace ideals and their applications

Barry Simon.

**(1979)**

2888 Citations

Schrodinger Operators: With Application to Quantum Mechanics and Global Geometry

H. L. Cycon;Barry Simon.

**(1987)**

2691 Citations

Holonomy, the Quantum Adiabatic Theorem, and Berry's Phase

Barry Simon.

Physical Review Letters **(1983)**

2112 Citations

Functional integration and quantum physics

Barry Simon.

**(1979)**

2013 Citations

The P(φ)[2] Euclidean (quantum) field theory

Barry Simon.

**(1974)**

1242 Citations

Orthogonal polynomials on the unit circle

Barry Simon.

**(2004)**

1239 Citations

Methods of modern mathematical physics. III. Scattering theory

M. Reed;B. Simon.

**(1979)**

1162 Citations

Analysis of Operators

Michael Reed;Barry Simon.

**(1978)**

1005 Citations

The statistical mechanics of lattice gases

Barry Simon.

**(1993)**

888 Citations

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