Barry Simon ( born Barry Simon ; born April 16, 1946 , New York ) is an American theoretical physicist and mathematician . Professor of California Institute of Technology . Known for his work on nonrelativistic quantum mechanics (in particular, the Schrödinger operators, the many-body problem, the semiclassical approximation), spectral theory, and functional analysis . He has over 300 publications in physics and mathematics.
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| Awards and prizes | Guggenheim Scholarship (1988) Poincare Prize (2012) Boyaya Award (2015) Danny Heinemann Prize in Mathematical Physics (2018) |
Barry Simon's scientific interests are mathematical physics and mathematical analysis , their methods and applications in physics, in particular: quantum field theory , statistical mechanics , Brownian motion , random matrix theory , general nonrelativistic quantum mechanics , nonrelativistic quantum mechanics in an electromagnetic field , singular continuous spectrum, random and ergodic Schrödinger operators, orthogonal polynomials .
Biography
Barry Simon was born on April 16, 1946 in New York . In 1965, he became a laureate of the William Putnam mathematical contest. In 1966 he graduated from Harvard University , and in 1970 received a Ph.D. from Princeton University . In Princeton, together with Elliot Lieb, he worked on the theory of phase transitions using the Thomas - Fermi and Hartree-Fock approximations. In January 1971, Simon married Martha Katsin, Ph.D. and professor of mathematics at the University of California at Northridge . Simon later became a professor at the California Institute of Technology , where he works today.
Works
- Reed M., Simon B. Methods of modern mathematical physics (in 4 volumes). - M.: Mir, 1977–1982. - 1623 p.
- Simon B. Model P (φ) 2 of Euclidean quantum field theory. - M.: Mir, 1976 .-- 360 p.
- Froelich Yu., Simon B., Spencer T. et al. Gibbs states in statistical physics // Mathematics. New in foreign science. - M.: Mir, 1978.- 256 s.
- Zicon X., Frese R., Kirsch V., Simon B. Schrödinger operators with applications to quantum mechanics and global geometry. - M.: Mir, 1990 .-- 408 p.
- Simon B. Functional Integration and Quantum Physics. - Academic Press, 1979.
- Simon B. Orthogonal Polynomials on the Unit Circle. - American Mathematical Society, 2004.
- Simon B. Quantum Mechanics for Hamiltonians Defined As Quadratic Forms. - Princeton University Press, 1971.
- Simon B. Representations of Finite and Compact Groups. - American Mathematical Society, 1995.
- Simon B. Szego's Theorem and Its Descendants. - Princeton University Press, 2010.
- Simon B. The Statistical Mechanics of Lattice Gases. - Princeton University Press, 1993.
- Simon B. Trace Ideals and their Applications. - Cambridge University Press, 1979.