Barry Martin Simon (Nova Iorque, ) é um físico matemático estadunidense, professor de matemática e física teórica do Instituto de Tecnologia da Califórnia.Barry Simon, I.B.M. Professor of Mathematics and Theoretical Physics, Emeritus. Página pessoal no Instituto de Tecnologia da Califórnia
Foi palestrante convidado do Congresso Internacional de Matemáticos em Vancouver (1974: Approximation of Feynman Integrals and Markov fields by spin systems). Recebeu o Prêmio Henri Poincaré de 2012 e o Prêmio Bolyai de 2015. É desde 2013 fellow da American Mathematical Society e desde 1981 da American Physical Society. Em 2016 recebeu o Prêmio Leroy P. Steele por sua carreira, e o Prêmio Dannie Heineman de Física Matemática de 2018.
Em 1990 foi eleito membro correspondente da Academia Austríaca de Ciências. É fellow da Academia de Artes e Ciências dos Estados Unidos (2005).
Livros Quantum theory of Hamiltonians defined by quadratic forms. Princeton 1971 The Euclidean Quantum Field Theory. Princeton 1974 Trace Ideals and their applications. Cambridge 1979, 2. Edição AMS 2005 Functional integration and quantum physics. Academic Press 1979, 2. Edição AMS Chelsea Publishing 2005 Convexity. An analytic viewpoint. Cambridge University Press 2011 Statistical mechanics of lattices gases. Volume 1, Princeton 1993 com Michael C. Reed: Methods of Modern Mathematical Physics. Bd.1: Functional Analysis. Academic Press, 1972, 2. Auflage 1980; Volume 2: Fourier Analysis, Self-Adjointness. Academic Press, 1975; Volume 3: Scattering Theory. Academic Press, 1978; Volume 4: Analysis of Operators. Academic Press, 1977 com H. Cycon, R. Froese, W. Kirsch: Schrödinger Operators. Springer 1987, 2. Edição 2008, ISBN 978-3-540-16758-7. Orthogonal polynomials on the unit circle, 2 Volumes, AMS Colloquium publications 2005 Editor com Lieb, Wightman: Studies in mathematical physics. Princeton 1976 (Bargmann-Festschrift), e por Simon: On the number of bound states of two body Schrödinger operators, a review e Quantum dynamics: from automorphism to hamiltonian. Szegö´s theorem and its descendants. Spectral theory for perturbations of orthogonal polynomials, Princeton University Press 2011 A comprehensive course in analysis, 5 Volumes, AMS 2015 Volume 1: Real analysis, Volume 2 A: Basic complex analysis, Volume 2 B: Advanced complex analysis, Volume 3: Harmonic analysis, Volume 4: Operator Theory
Artigos selecionados Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory, Annals of Math. 97 (1973), 247-274 com F. Guerra, L. Rosen: The quantum theory as classical statistical mechanics, Annals of Math. 101 (1975), 111-259 com E. Lieb: The Thomas-Fermi theory of atoms, molecules and solids, Advances in Math. 23 (1977), 22-116 com J. Fröhlich, T. Spencer:Infrared bounds, phase transitions and continuous symmetry breaking, Commun. Math. Phys. 50 (1976), 79-85 com P. Perry, I. Sigal: Spectral analysis of multiparticle Schrödinger operators, Annals of Math. 114 (1981), 519-567 com M. Aizenman: Brownian motion and Harnack’s inequality for Schrödinger operators, Commun. Pure Appl. Math. 35 (1982), 209-273 Semiclassical analysis of low lying eigenvalues, II. Tunneling, Annals of Math. 120 (1984), 89-118 Holonomy, the quantum adiabatic theorem and Berry’s phase, Phys. Rev. Lett. 51 (1983), 2167-2170 com T. Wolff: Singular continuous spectrum under rank one perturbations and localization for random Hamiltonians, Commun. Pure Appl. Math. 39 (1986), 75-90 Operators with singular continuous spectrum: I. General operators, Annals of of Math. 141 (1995), 131-145 The classical moment problem as a self-adjoint finite difference operator, Advances in Math. 137 (1998), 82-203 com Y. Last: Eigenfunctions, transfer matrices, and absolutely continuous spectrum of one-dimensional Schrödinger operators, Invent. Math. 135 (1999), 329-367 A new approach to inverse spectral theory, I. Fundamental formalism, Annals of Math. 150 (1999), 1029-1057 com F. Gesztesy: A new approach to inverse spectral theory, II. General real potentials and the connection to the spectral measure, Annals of Math. 152 (2000), 593-643 com R. Killip: Sum rules for Jacobi matrices and their applications to spectral theory, Annals of Math. 158 (2003), 253-321 com D. Damanik: Jost functions and Jost solutions for Jacobi matrices, I. A necessary and sufficient condition for Szegö asymptotics, Invent. Math. 165 (2006), 1-50
Bibliografia Fritz Gesztesy, Simon, Percy Deift, Cherie Galvez, Peter Perry, Wilhelm Schlag (Hrsg.): Spectral theory and mathematical physics. Oxford University Press 2007 (Festschrift zum 60. Geburtstag von Simon). Fritz Gesztesy: From mathematical physics to analysis, a walk in Barry Simon´s garden, Notices AMS, August, September 2016, Teil 1
Ligações externas Homepage am Caltech mit Publikationsliste, viele Artikel sind online zugänglich Anekdoten über Simon anlässlich der Feier seines 60. Geburtstags 2006
Categoria:Membros da Academia de Artes e Ciências dos Estados Unidos Categoria:Membros da American Mathematical Society Categoria:Membros da American Physical Society Categoria:Membros da Academia de Ciência da Áustria Categoria:Professores do Instituto de Tecnologia da Califórnia Categoria:Professores da Universidade de Princeton Categoria:Matemáticos do século XX Categoria:Matemáticos do século XXI Categoria:Físicos dos Estados Unidos do século XX Categoria:Físicos do século XXI Categoria:Naturais de Nova Iorque (cidade) Categoria:Alunos da Universidade de Princeton Categoria:Membros da Academia Nacional de Ciências dos Estados Unidos