Barry Simon Barry Martin Simon is an American mathematical physicist and the IBM Professor of Mathematics and Theoretical Physics at Caltech , known for his prolific contributions in spectral theory , functional analysis , and nonrelativistic quantum mechanics , 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, 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.Early life Barry Simon's mother was a school teacher , his father was an accountant. Simon attended James Madison High School in Brooklyn .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. In 1962, Simon entered Harvard with a stipend. He became a Putnam Fellow in 1965 at 19 years old. He received his A.B. in 1966 from Harvard College and his Ph.D. in Physics at Princeton University in 1970, supervised by Arthur Strong Wightman . His dissertation dealt with Quantum mechanics for Hamiltonians defined as quadratic forms . 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. 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." A former graduate student of Simon's, in a tale revealing of his brilliance, once stated:Honors and awards 2012: Elected fellow of the American Mathematical Society . 2012: Awarded the Henri Poincaré Prize 2015: Awarded the Bolyai Prize of the Hungarian Academy of Sciences . 2016: Awarded the Steele Prize for Lifetime achievements. 2018: Dannie Heineman Prize for Mathematical Physics from the American Physical Society 2019: Elected to the National Academy of Sciences Selected publications Resonances in n -body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory , Annals of Mathematics 97, 247-274 Methods of Modern Mathematical Physics, Vol. I: Functional Analysis , Academic Press, 1972; Vol. II: Fourier Analysis , Self-Adjointness, Academic Press, 1975; Vol. III: Scattering Theory, Academic Press, 1978; Vol. IV: Analysis of Operators, Academic Press, 1977 The P2 quantum theory as classical statistical mechanics , Annals of Mathematics 101, 111-259 The Thomas-Fermi theory of atoms, molecules and solids, Advances in Math . 23, 22-116 Infrared bounds, phase transitions and continuous symmetry breaking, Commun. Math. Phys. 50, 79-85 Spectral analysis of multiparticle Schrödinger operators, Annals of Mathematics 114, 519-567 Brownian motion and Harnack's inequality for Schrödinger operators, Commun. Pure Appl. Math. 35, 209-273 Semiclassical analysis of low lying eigenvalues, II. Tunneling, Annals of Mathematics 120, 89-118 Holonomy, the quantum adiabatic theorem and Berry's phase , Phys. Rev. Lett. 51, 2167–2170 Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians, Commun. Pure Appl. Math. 39, 75-90 Operators with singular continuous spectrum: I. General operators, Annals of Mathematics 141, 131-145 , American Math Society, ]
Popular articles Javier Milei - Argentine libertarian economist, author, radio conductor and public speaker sympathetic to the Austrian School of economic thought. He became widely known for his regular ...Jimmy Carter - American politician, philanthropist, and former farmer who served as the 39th president of the United States from 1977 to 1981. A member of the Democratic Party, he previ...UEFA Euro 2024 - The 2024 UEFA European Football Championship , commonly referred to as UEFA Euro 2024 or simply Euro 2024 , will be the 17th edition of the UEFA European Championship, the quadrennial internationa...Argentina - country located mostly in the southern half of South America. Sharing the bulk of the Southern Cone with Chile to the west, the country is also b...Sam Altman - American entrepreneur, investor, programmer, and blogger. He is the former president of Y Combinator and now the CEO of OpenAI. Early life and education. ...Rosalynn Carter - American who served as First Lady of the United States from 1977 to 1981 as the wife of President Jimmy Carter. For decades, she has been a leading advocate for numerou...Next Argentine presidential election - Next Argentine presidential election - presidential election in Argentina....Popular movies The Hunger Games (film) - 2012 American dystopian action thriller science fiction-adventure film directed by Gary Ross and based on Suzanne Collins’s 2008 novel of the same name. It is the first insta...untitled Captain Marvel sequel - part of Marvel Cinematic Universe....Killers of the Flower Moon (film project) - Killers of the Flower Moon - film project in United States of America. It was presented as drama, detective fiction, thriller. The film project starred Leonardo Dicaprio, Robert De Niro. Director of...Five Nights at Freddy's (film) - Five Nights at Freddy's - film published in 2017 in United States of America. Scenarist of the film - Scott Cawthon....Popular video games Minecraft - sandbox video game developed by Mojang Studios. Created by Markus "Notch" Persson in the Java programming language and released as a public alpha for personal computers in 2...Grand Theft Auto V - 2013 action-adventure game developed by Rockstar North and published by Rockstar Games. It is the first main entry in the Grand Theft Auto series since 2008's Grand Theft ...Roblox - online game platform and game creation system that allows users to program games and play games created by other users. Founded by David Baszucki and Erik Cassel in 2004 and released in...Baldur's Gate III - upcoming role-playing video game developed and published by Larian Studios for Microsoft Windows and the Stadia streaming service. It is the third main game in the Baldur's ...Alan Wake - action-adventure video game developed by Remedy Entertainment and published by Microsoft Studios, released for the Xbox 360 and Microsoft Windows. The story follows best-selling thri...Fortnite - online video game developed by Epic Games and released in 2017. It is available in three distinct game mode versions that otherwise share the same general gameplay and game engine: ...Super Mario RPG - is a role-playing video game developed by Square and published by Nintendo for the Super Nintendo Entertainment System in 1996. It was directed by Yoshihiko Maekawa and Chihiro Fujioka and produced by...Popular books Book of Revelation - The Book of Revelation is the final book of the New Testament, and consequently is also the final book of the Christian Bible. Its title is derived from the first word of the Koine Greek text: apok...Book of Genesis - account of the creation of the world, the early history of humanity, Israel's ancestors and the origins...Gospel of Matthew - The Gospel According to Matthew is the first book of the New Testament and one of the three synoptic gospels. It tells how Israel's Messiah, rejected and executed in Israel, pronounces judgement on ...Michelin Guide - Michelin Guides are a series of guide books published by the French tyre company Michelin for more than a century. The term normally refers to the annually published Michelin Red Guide , the oldest...Psalms - The Book of Psalms , commonly referred to simply as Psalms , the Psalter or "the Psalms", is the first book of the Ketuvim , the third section of the Hebrew Bible, and thus a book of th...Ecclesiastes - Ecclesiastes is one of 24 books of the Tanakh , where it is classified as one of the Ketuvim . Originally written c. 450–200 BCE, it is also among the canonical Wisdom literature of the Old Tes...The 48 Laws of Power - non-fiction book by American author Robert Greene. The book...Popular television series The Crown (TV series) - historical drama web television series about the reign of Queen Elizabeth II, created and principally written by Peter Morgan, and produced by Left Bank Pictures and Sony Pictures Tel...Friends - American sitcom television series, created by David Crane and Marta Kauffman, which aired on NBC from September 22, 1994, to May 6, 2004, lasting ten seasons. With an ensemble cast sta...Young Sheldon - spin-off prequel to The Big Bang Theory and begins with the character Sheldon...Modern Family - American television mockumentary family sitcom created by Christopher Lloyd and Steven Levitan for the American Broadcasting Company. It ran for eleven seasons, from September 23...Loki (TV series) - upcoming American web television miniseries created for Disney+ by Michael Waldron, based on the Marvel Comics character of the same name. It is set in the Marvel Cinematic Universe, shar...Game of Thrones - American fantasy drama television series created by David Benioff and D. B. Weiss for HBO. It...Shameless (American TV series) - American comedy-drama television series developed by John Wells which debuted on Showtime on January 9, 2011. It...
OWIKI.org . Text is available under the Creative Commons Attribution-ShareAlike License.