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Barry Simon, the Glossary

Barry Martin Simon (born 16 April 1946) is an American mathematical physicist and was the IBM professor of Mathematics and Theoretical Physics at Caltech, known for his prolific contributions in spectral theory, functional analysis, and nonrelativistic quantum mechanics (particularly Schrödinger operators), including the connections to atomic and molecular physics.^[1]

68 relations: Alexander Kiselev (mathematician), American Academy of Arts and Sciences, American Mathematical Society, American Physical Society, Antti Kupiainen, Arthur Wightman, Atom, Atomic, molecular, and optical physics, Austrian Academy of Sciences, Bachelor of Arts, Bolyai Prize, Brooklyn, Brownian motion, California Institute of Technology, Columbia University, Communications on Pure and Applied Mathematics, Dannie Heineman Prize for Mathematical Physics, Electric field, Elliott H. Lieb, Ellis Island, Enrico Fermi, Ergodic theory, Erwin Schrödinger, Functional analysis, Google Scholar, Grodno, Hartree, Harvard College, Harvard University, Henri Poincaré Prize, Hungarian Academy of Sciences, IBM, International Congress of Mathematicians, James Madison High School (Brooklyn), Leroy P. Steele Prize, Llewellyn Thomas, Magnetic field, Many-body problem, Mathematical analysis, Mathematical Association of America, Michael Aizenman, Michael C. Reed, National Academy of Sciences, Notices of the American Mathematical Society, Odesa, Operator (mathematics), Orthogonal polynomials, Partial differential equation, Percy Deift, Phase transition, ... Expand index (18 more) »
American mathematical physicists
Operator theorists

Alexander Kiselev (mathematician)

Alexander A. Kiselev (born 1969) is an American mathematician, specializing in spectral theory, partial differential equations, and fluid mechanics.

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American Academy of Arts and Sciences

The American Academy of Arts and Sciences (The Academy) is one of the oldest learned societies in the United States.

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American Mathematical Society

The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs.

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American Physical Society

The American Physical Society (APS) is a not-for-profit membership organization of professionals in physics and related disciplines, comprising nearly fifty divisions, sections, and other units.

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Antti Kupiainen

Antti Kupiainen (born 23 June 1954, Varkaus, Finland) is a Finnish mathematical physicist.

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Arthur Wightman

Arthur Strong Wightman (March 30, 1922 – January 13, 2013) was an American mathematical physicist. Barry Simon and Arthur Wightman are American mathematical physicists.

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Atom

Atoms are the basic particles of the chemical elements.

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Atomic, molecular, and optical physics

Atomic, molecular, and optical physics (AMO) is the study of matter–matter and light–matter interactions, at the scale of one or a few atoms and energy scales around several electron volts.

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Austrian Academy of Sciences

The Austrian Academy of Sciences (Österreichische Akademie der Wissenschaften; ÖAW) is a legal entity under the special protection of the Republic of Austria.

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Bachelor of Arts

A Bachelor of Arts (abbreviated B.A., BA, A.B. or AB; from the Latin baccalaureus artium, baccalaureus in artibus, or artium baccalaureus) is a bachelor's degree awarded for an undergraduate program in the liberal arts, or, in some cases, other disciplines.

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Bolyai Prize

The International János Bolyai Prize of Mathematics is an international prize founded by the Hungarian Academy of Sciences.

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Brooklyn

Brooklyn is a borough of New York City.

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Brownian motion

Brownian motion is the random motion of particles suspended in a medium (a liquid or a gas).

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California Institute of Technology

The California Institute of Technology (branded as Caltech) is a private research university in Pasadena, California.

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Columbia University

Columbia University, officially Columbia University in the City of New York, is a private Ivy League research university in New York City.

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Communications on Pure and Applied Mathematics

Communications on Pure and Applied Mathematics is a monthly peer-reviewed scientific journal which is published by John Wiley & Sons on behalf of the Courant Institute of Mathematical Sciences.

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Dannie Heineman Prize for Mathematical Physics

Dannie Heineman Prize for Mathematical Physics is an award given each year since 1959 jointly by the American Physical Society and American Institute of Physics.

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Electric field

An electric field (sometimes called E-field) is the physical field that surrounds electrically charged particles.

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Elliott H. Lieb

Elliott Hershel Lieb (born July 31, 1932) is an American mathematical physicist. Barry Simon and Elliott H. Lieb are American mathematical physicists.

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Ellis Island

Ellis Island is a federally owned island in New York Harbor, situated within the U.S. states of New Jersey and New York.

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Enrico Fermi

Enrico Fermi (29 September 1901 – 28 November 1954) was an Italian and naturalized American physicist, renowned for being the creator of the world's first nuclear reactor, the Chicago Pile-1, and a member of the Manhattan Project.

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Ergodic theory

Ergodic theory is a branch of mathematics that studies statistical properties of deterministic dynamical systems; it is the study of ergodicity.

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Erwin Schrödinger

Erwin Rudolf Josef Alexander Schrödinger (12 August 1887 – 4 January 1961), sometimes written as or, was a Nobel Prize–winning Austrian and naturalized Irish physicist who developed fundamental results in quantum theory.

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Functional analysis

Functional analysis is a branch of mathematical analysis, the core of which is formed by the study of vector spaces endowed with some kind of limit-related structure (for example, inner product, norm, or topology) and the linear functions defined on these spaces and suitably respecting these structures.

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Google Scholar

Google Scholar is a freely accessible web search engine that indexes the full text or metadata of scholarly literature across an array of publishing formats and disciplines.

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Grodno

Grodno (Гродно; Grodno) or Hrodna (Гродна) is a city in western Belarus.

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Hartree

The hartree (symbol: Eh), also known as the Hartree energy, is the unit of energy in the atomic units system, named after the British physicist Douglas Hartree.

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Harvard College

Harvard College is the undergraduate college of Harvard University, a private Ivy League research university in Cambridge, Massachusetts, United States.

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Harvard University

Harvard University is a private Ivy League research university in Cambridge, Massachusetts.

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Henri Poincaré Prize

The Henri Poincaré Prize is awarded every three years since 1997 for exceptional achievements in mathematical physics and foundational contributions leading to new developments in the field.

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Hungarian Academy of Sciences

The Hungarian Academy of Sciences (Magyar Tudományos Akadémia, MTA) is the most important and prestigious learned society of Hungary.

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IBM

International Business Machines Corporation (using the trademark IBM), nicknamed Big Blue, is an American multinational technology company headquartered in Armonk, New York and present in over 175 countries.

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International Congress of Mathematicians

The International Congress of Mathematicians (ICM) is the largest conference for the topic of mathematics.

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James Madison High School (Brooklyn)

James Madison High School is a public high school in Midwood, Brooklyn.

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Leroy P. Steele Prize

The Leroy P. Steele Prizes are awarded every year by the American Mathematical Society, for distinguished research work and writing in the field of mathematics.

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Llewellyn Thomas

Llewellyn Hilleth Thomas (21 October 1903 – 20 April 1992) was a British physicist and applied mathematician.

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Magnetic field

A magnetic field (sometimes called B-field) is a physical field that describes the magnetic influence on moving electric charges, electric currents, and magnetic materials.

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Many-body problem

The many-body problem is a general name for a vast category of physical problems pertaining to the properties of microscopic systems made of many interacting particles.

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Mathematical analysis

Analysis is the branch of mathematics dealing with continuous functions, limits, and related theories, such as differentiation, integration, measure, infinite sequences, series, and analytic functions.

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Mathematical Association of America

The Mathematical Association of America (MAA) is a professional society that focuses on mathematics accessible at the undergraduate level.

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Michael Aizenman

Michael Aizenman (born 28 August 1945) is an American-Israeli mathematician and a physicist at Princeton University, working in the fields of mathematical physics, statistical mechanics, functional analysis and probability theory.

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Michael C. Reed

Michael (Mike) Charles Reed is an American mathematician known for his contributions to mathematical physics and mathematical biology. Barry Simon and Michael C. Reed are American mathematical physicists.

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National Academy of Sciences

The National Academy of Sciences (NAS) is a United States nonprofit, non-governmental organization.

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Notices of the American Mathematical Society

Notices of the American Mathematical Society is the membership journal of the American Mathematical Society (AMS), published monthly except for the combined June/July issue.

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Odesa

Odesa (also spelled Odessa) is the third most populous city and municipality in Ukraine and a major seaport and transport hub located in the south-west of the country, on the northwestern shore of the Black Sea.

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Operator (mathematics)

In mathematics, an operator is generally a mapping or function that acts on elements of a space to produce elements of another space (possibly and sometimes required to be the same space).

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Orthogonal polynomials

In mathematics, an orthogonal polynomial sequence is a family of polynomials such that any two different polynomials in the sequence are orthogonal to each other under some inner product.

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Partial differential equation

In mathematics, a partial differential equation (PDE) is an equation which computes a function between various partial derivatives of a multivariable function.

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Percy Deift

Percy Alec Deift (born September 10, 1945) is a mathematician known for his work on spectral theory, integrable systems, random matrix theory and Riemann–Hilbert problems.

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Phase transition

In physics, chemistry, and other related fields like biology, a phase transition (or phase change) is the physical process of transition between one state of a medium and another.

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Physics

Physics is the natural science of matter, involving the study of matter, its fundamental constituents, its motion and behavior through space and time, and the related entities of energy and force.

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Princeton University

Princeton University is a private Ivy League research university in Princeton, New Jersey.

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Quantum field theory

In theoretical physics, quantum field theory (QFT) is a theoretical framework that combines classical field theory, special relativity, and quantum mechanics.

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Quantum mechanics

Quantum mechanics is a fundamental theory that describes the behavior of nature at and below the scale of atoms.

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Random matrix

In probability theory and mathematical physics, a random matrix is a matrix-valued random variable—that is, a matrix in which some or all of its entries are sampled randomly from a probability distribution.

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Resonance

In physics, resonance refers to a wide class of phenomena that arise as a result of matching temporal or spatial periods of oscillatory objects.

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Self-adjoint

In mathematics, an element of a *-algebra is called self-adjoint if it is the same as its adjoint (i.e. a.

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Shomer Shabbat

In Judaism, a person who is shomer Shabbat or shomer Shabbos (plural shomré Shabbat or shomrei Shabbos; שומר שבת, "Sabbath observer", sometimes more specifically, "Saturday Sabbath observer") is a person who observes the mitzvot (commandments) associated with Judaism's Shabbat, or Sabbath, which begins at dusk on Friday and ends after sunset on Saturday.

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Simon problems

In mathematics, the Simon problems (or Simon's problems) are a series of fifteen questions posed in the year 2000 by Barry Simon, an American mathematical physicist.

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Singularity (mathematics)

In mathematics, a singularity is a point at which a given mathematical object is not defined, or a point where the mathematical object ceases to be well-behaved in some particular way, such as by lacking differentiability or analyticity.

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Spectral theory

In mathematics, spectral theory is an inclusive term for theories extending the eigenvector and eigenvalue theory of a single square matrix to a much broader theory of the structure of operators in a variety of mathematical spaces.

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Spectrum (physical sciences)

In the physical sciences, the term spectrum was introduced first into optics by Isaac Newton in the 17th century, referring to the range of colors observed when white light was dispersed through a prism.

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Statistical mechanics

In physics, statistical mechanics is a mathematical framework that applies statistical methods and probability theory to large assemblies of microscopic entities.

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The New York Times

The New York Times (NYT) is an American daily newspaper based in New York City.

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Theoretical physics

Theoretical physics is a branch of physics that employs mathematical models and abstractions of physical objects and systems to rationalize, explain, and predict natural phenomena.

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Theory of relativity

The theory of relativity usually encompasses two interrelated physics theories by Albert Einstein: special relativity and general relativity, proposed and published in 1905 and 1915, respectively.

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Vladimir Fock

Vladimir Aleksandrovich Fock (or Fok; Влади́мир Алекса́ндрович Фок) (December 22, 1898 – December 27, 1974) was a Soviet physicist, who did foundational work on quantum mechanics and quantum electrodynamics.

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William Lowell Putnam Mathematical Competition

The William Lowell Putnam Mathematical Competition, often abbreviated to Putnam Competition, is an annual mathematics competition for undergraduate college students enrolled at institutions of higher learning in the United States and Canada (regardless of the students' nationalities). Barry Simon and William Lowell Putnam Mathematical Competition are Putnam Fellows.

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References

[1] https://en.wikipedia.org/wiki/Barry_Simon

Also known as Barry Martin Simon.

, Physics, Princeton University, Quantum field theory, Quantum mechanics, Random matrix, Resonance, Self-adjoint, Shomer Shabbat, Simon problems, Singularity (mathematics), Spectral theory, Spectrum (physical sciences), Statistical mechanics, The New York Times, Theoretical physics, Theory of relativity, Vladimir Fock, William Lowell Putnam Mathematical Competition.

Barry Simon, the Glossary

Table of Contents

See also

American mathematical physicists

Operator theorists

References