Barry Simon , Ph. D.

Barry Simon

Corresponding Member of the Division of Mathematics and the Natural Sciences abroad since 1990

  • Mathematics Department, California Institute of Technology


Research Areas:

  • Mathematics
  • Analysis
  • Mathematical physics
  • Complex analysis



Selected Memberships:

  • American Academy of Arts and Sciences
  • American Mathematical Society
  • American Physical Society

Selected Prizes:

  • Henri Poincare Prize
  • Stampacchia Prize
  • D. Sc. h. c., Technion-Israel Institute of Technology
  • Honorary Fellow, University of Wales Swansea
  • D. h. c. Ludwig-Maximilians-Universität München

Selected Publications:

  • Killip, R.; Simon, B. (2003) Sum rules for Jacobi matrices and their applications to spectral theory. Annals of Mathematics, Bd. 158, S. 253-321.
  • Simon, B.; Lieb, E. (1977) The Thomas-Fermi theory of atoms, molecules and solids. Advances in Mathematics, Bd. 23, S. 22-116.
  • Simon, B.; Fröhlich, J.; Spencer, T. (1976) Infrared bounds, phase transitions and continuous symmetry breaking. Communications in Mathematical Physics, Bd. 50, S. 79-85.
  • Simon, B.; Lieb, E. (1973) Resonances in n-body quantum systems with dilatation analytic potentials and the foundations of time-dependent perturbation theory. Annals of Mathematics, Bd. 97, S. 247-274.
  • Reed, M.; Simon, B. (1972) Methods of Modern Mathematical Physics, Vol. 1.1972 - 4.1979.; San Diego, Calif.: Academic Press.