H-Index & Metrics Top Publications

H-Index & Metrics

Discipline name H-index Citations Publications World Ranking National Ranking
Mathematics H-index 113 Citations 70,335 368 World Ranking 1 National Ranking 1

Research.com Recognitions

Awards & Achievements

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

Overview

What is he best known for?

The fields of study he is best known for:

  • 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.

His most cited work include:

  • 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)

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

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.

He most often published in these fields:

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

What were the highlights of his more recent work (between 2011-2021)?

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

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

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.

Between 2011 and 2021, his most popular works were:

  • 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)

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

  • 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.

Top Publications

Methods of Modern Mathematical Physics

Barry Simon;Michael C. Reed.
(1972)

13608 Citations

Trace ideals and their applications

Barry Simon.
(1979)

2646 Citations

Schrödinger Operators: With Application to Quantum Mechanics and Global Geometry

H. L. Cycon;Barry Simon.
(1987)

2582 Citations

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

Barry Simon.
Physical Review Letters (1983)

1937 Citations

Functional integration and quantum physics

Barry Simon.
(1979)

1901 Citations

Methods of modern mathematical physics. III. Scattering theory

M. Reed;B. Simon.
(1979)

1528 Citations

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

Barry Simon.
(1974)

1143 Citations

Orthogonal polynomials on the unit circle

Barry Simon.
(2004)

1134 Citations

Analysis of Operators

Michael Reed;Barry Simon.
(1978)

1076 Citations

Coupling constant analyticity for the anharmonic oscillator

Barry Simon;A Dicke.
Annals of Physics (1970)

767 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.

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