Английская Википедия:Barry Simon
Шаблон:Short description Шаблон:For Шаблон:Infobox scientist
Barry Martin Simon (born 16 April 1946) is an American mathematical physicist and was the IBM professor of Mathematics and Theoretical Physics at Caltech,[1] 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. He has authored more than 400 publications on mathematics and physics.
His work has focused on broad areas of mathematical physics and analysis covering: quantum field theory, statistical mechanics, Brownian motion, random matrix theory, general nonrelativistic quantum mechanics (including N-body systems and resonances), nonrelativistic quantum mechanics in electric and magnetic fields, the semi-classical limit, the singular continuous spectrum, random and ergodic Schrödinger operators, orthogonal polynomials, and non-selfadjoint spectral theory.[2]
Early life
Barry Simon's mother was a school teacher, his father was an accountant. His ancestors were from Odesa and Grodno. His grandfather got the new surname, Simon, at Ellis Island; his original surname was Slopak.[3] Simon attended James Madison High School in Brooklyn.[4][5] Simon is observant Jew.[3]
Career
During his high school years, Simon started attending college courses for highly gifted pupils at Columbia University. In 1962, Simon won a MAA mathematics competition. The New York Times reported that in order to receive full credits for a faultless test result he had to make a submission with MAA. In this submission he proved that one of the problems posed in the test was ambiguous.[5][2]
In 1962, Simon entered Harvard with a stipend. He became a Putnam Fellow in 1965 at 19 years old.[6] He received his AB in 1966 from Harvard College and his PhD in Physics at Princeton University in 1970, supervised by Arthur Strong Wightman. His dissertation dealt with Quantum mechanics for Hamiltonians defined as quadratic forms.[2]
Following his doctoral studies, Simon took a professorship at Princeton for several years, often working with colleague Elliott H. Lieb on the Thomas–Fermi Theory and Hartree–Fock Theory of atoms in addition to phase transitions and mentoring many of the same students as Lieb. He eventually was persuaded to take a post at Caltech, from which he retired in the summer of 2016.[2][7]
His status is legendary in mathematical physics and he is renowned for his ability to write scientific manuscripts "in five percent of the time ordinary mortals need to write such papers."[8]
A former graduate student of Simon's, in a tale revealing of his brilliance, once stated: Шаблон:Blockquote
Honors and awards
- 1974: Invited Speaker at the International Congress of Mathematicians in Vancouver[9]
- 1981: Elected fellow of the American Physical Society[10]
- 1990: Elected correspondent member of the Austrian Academy of Sciences[11]
- 2005: Elected fellow of the American Academy of Arts and Sciences[12]
- 2012: Elected fellow of the American Mathematical Society[13]
- 2012: Awarded the Henri Poincaré Prize[2]
- 2015: Awarded the Bolyai Prize of the Hungarian Academy of Sciences[14]
- 2016: Awarded the Steele Prize for Lifetime achievements[2]
- 2018: Dannie Heineman Prize for Mathematical Physics from the American Physical Society[15]
- 2019: Elected to the National Academy of Sciences[16]
Selected publications
Articles
- Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory, Annals of Mathematics 97 (1973), 247–274 Шаблон:Doi (over 700 citations)
- (with F. Guerra and L. Rosen) The P(φ)2 quantum theory as classical statistical mechanics, Annals of Mathematics 101 (1975), 111–259 Шаблон:Doi
- (with E. Lieb) The Thomas-Fermi theory of atoms, molecules and solids, Advances in Mathematics 23 (1977), 22–116 Шаблон:Doi (over 700 citations)
- (with J. Fröhlich and T. Spencer) Infrared bounds, phase transitions and continuous symmetry breaking, Commun. Math. Phys. 50 (1976), 79–85 Шаблон:Doi
- (with P. Perry and I. M. Sigal) Spectral analysis of multiparticle Schrödinger operators, Annals of Mathematics 114 (1981), 519–567 Шаблон:Doi
- Schrödinger semigroups, Bulletin of the American Mathematical Society 7 (1982), 447–526 Шаблон:Doi (over 1500 citations)
- (with M. Aizenman) Brownian motion and Harnack's inequality for Schrödinger operators, Commun. Pure Appl. Math. 35 (1982), 209–273 (over 600 citations)
- Holonomy, the quantum adiabatic theorem and Berry's phase, Phys. Rev. Lett. 51 (1983), 2167–2170 Шаблон:Doi (over 2050 citations)
- (with Joseph E. Avron and Ruedi Seiler) Homotopy and quantization in condensed matter physics, Phys. Rev. Lett. 51 (1983) 51–53 Шаблон:Doi (over 600 citations)
- Semiclassical analysis of low lying eigenvalues, II. Tunneling, Annals of Mathematics 120 (1984), 89–118 Шаблон:Doi
- (with T. Wolff) Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians, Commun. Pure Appl. Math. 39 (1986), 75–90 Шаблон:Doi
- Operators with singular continuous spectrum: I. General operators, Annals of Mathematics 141 (1995), 131–145 Шаблон:Doi
Books
- Quantum mechanics for hamiltonians defined as quadratic forms. Princeton University Press, Princeton NJ 1971, Шаблон:ISBN.
- with Michael C. Reed: Methods of Modern Mathematical Physics. 4 vols. Academic Press, New York, NY etc. 1972–1978;
- vol. 1: Functional Analysis. 1972, Шаблон:ISBN;
- vol. 2: Fourier Analysis, Self-Adjointness. 1975, Шаблон:ISBN;
- vol. 3: Scattering Theory. Academic Press, 1979, Шаблон:ISBN;
- vol. 4: Analysis of Operators. Academic Press, 1978, Шаблон:ISBN.
- The <math>P(\Phi)_2</math> Euclidean (Quantum) Field Theory. Princeton University Press, Princeton NJ 1974, Шаблон:ISBN.
- as editor with Elliott H. Lieb and Arthur S. Wightman: Studies in mathematical physics. Essays in Honor of Valentine Bargmann. Princeton University Press, Princeton NJ 1976, Шаблон:ISBN, contributions by Barry Simon:
- pp. 305–326: On the number of bound states of two body Schrödinger operators – a review. online PDF; 377 kB.
- pp. 327–349: Quantum dynamics: from automorphism to hamiltonian. online PDF; 573 kB.
- Functional integration and quantum physics (= Pure and Applied Mathematics. 86). Academic Press, New York NY etc. 1979, ISBN 0-12-644250-9 (2nd edition: American Mathematical Society, Providence RI 2005, Шаблон:ISBN).
- Trace Ideals and their applications (= London Mathematical Society. Lecture Note Series. 35). Cambridge University Press, Cambridge etc. 1979, Шаблон:ISBN (2nd edition: (= Mathematical Surveys and Monographs. 120). American Mathematical Society, Providence RI 2005, Шаблон:ISBN).
- with Hans L. Cycon, Richard G. Froese, and Werner Kirsch: Schrödinger Operators. Springer, Berlin etc. 1987, Шаблон:ISBN (corrected and extended 2nd printing: Springer 2008, Шаблон:ISBN).
- The Statistical mechanics of lattice gases. vol. 1. Princeton University Press, Princeton NJ 1993, Шаблон:ISBN.
- Orthogonal polynomials on the unit circle (= American Mathematical Society Colloquium Publications. 54, 1–2). 2 vols. American Mathematical Society, Providence RI 2005;
- vol. 1: Classical theory. 2005, Шаблон:ISBN;
- vol. 2: Spectral theory. 2005, Шаблон:ISBN.
- Convexity. An analytic viewpoint (= Cambridge Tracts in Mathematics. 187). Cambridge University Press, Cambridge etc. 2011, Шаблон:ISBN.[17]
- Szegő´s theorem and its descendants. Spectral theory for <math>L^2</math> perturbations of orthogonal polynomials. Princeton University Press, Princeton NJ 2011, Шаблон:ISBN.
- A Comprehensive Course in Analysis. 4 vols. with vol. 2 published in 2 parts, American Mathematical Society, Providence RI 2015, Шаблон:ISBN.
- vol. 1: Real Analysis.[18]
- vol. 2A: Basic Complex Analysis.
- vol. 2B: Advanced Complex Analysis.
- vol. 3: Harmonic Analysis.
- vol. 4: Operator Theory.
- Loewner's theorem on monotone matrix functions Springer, 2019, Шаблон:Isbn[19]
See also
References
Further reading
External links
- Prof. Simon's Homepage
- SimonFest
- Шаблон:MathGenealogy
- Publications and citations at Google Scholar
- Шаблон:Cite web
- Шаблон:Cite web (KBS Fest at ISI Bangalore)
- Шаблон:Cite web
- Шаблон:Cite web
- Шаблон:Cite web
- Шаблон:Cite web
- Шаблон:Cite web
- Caltech Heritage Project, interviews from 2021 & 2022
- Шаблон:Cite web (interview Thursday Nov. 18, 2021)
- Шаблон:Cite web
- Шаблон:Cite web (interview Friday Nov. 26, 2021)
- Шаблон:Cite web
- Шаблон:Cite web (interview Thursday Dec. 2, 2021)
- Шаблон:Cite web
- Шаблон:Cite web (interview Thursday Dec. 9, 2021)
- Шаблон:Cite web
- Шаблон:Cite web (interview Wednesday Dec. 15, 2021)
- Шаблон:Cite web
- Шаблон:Cite web (interview Thursday Dec. 23, 2021)
- Шаблон:Cite web (interview March 7, 2022)
- ↑ Caltech Math Faculty page
- ↑ 2,0 2,1 2,2 2,3 2,4 2,5 Шаблон:Cite journal
- ↑ 3,0 3,1 Шаблон:Cite web
- ↑ Шаблон:Cite news
- ↑ 5,0 5,1 Шаблон:Cite news
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite book
- ↑ Шаблон:Cite web (Search on year 1981 & institution Princeton University.)
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ List of Fellows of the American Mathematical Society. Retrieved 2013-07-20.
- ↑ Bolyai Prize goes to Barry Simon Шаблон:Webarchive Communication by Hungarian Academy of Sciences (mta.hu). Retrieved 12 April 2015
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite web
- ↑ Шаблон:Cite journal
- Английская Википедия
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