Barry Simon

Barry Martin Simon (Nova Iorque, 16 de abril de 1946) é um físico matemático estadunidense, professor de matemática e física teórica do Instituto de Tecnologia da Califórnia.

Barry Simon
Barry Simon
Nascimento	16 de abril de 1946 (78 anos) Nova Iorque
Cidadania	Estados Unidos
Alma mater	Universidade Harvard (A.B.), Universidade de Princeton (Ph.D.)
Ocupação	matemático, físico, professor universitário
Distinções	Prêmio Henri Poincaré (2012), Prêmio Bolyai (2015), Prêmio Leroy P. Steele (2016)
Empregador(a)	Instituto de Tecnologia da Califórnia, Universidade de Princeton
Orientador(a)(es/s)	Arthur Wightman
Orientado(a)(s)	Percy Deift, Robert Brian Israel, Alexander Kiselev
Instituições	Instituto de Tecnologia da Califórnia
[edite no Wikidata]

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 $\Phi ^{2}$ 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 $L^{2}$ 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 $P(\phi )_{2}$ 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