Elliott H. Lieb

Herschel Elliott Lieb ( born July 31, 1932 in Boston) is an American physicist whose main research area is mathematical physics, in particular the mathematical treatment of statistical mechanics and the stability of matter.

Life and work

Lieb studied at the Massachusetts Institute of Technology (MIT) in Cambridge, where in 1953 he graduated and received his doctorate at the University of Birmingham in England in 1956 Samuel Edwards ( he was there for the group of Rudolf Peierls ). After a year as a Fulbright Fellow 1956/57, in Kyoto, he was at the University of Illinois and from 1958 to 1960 at Cornell University before he joined the IBM Research from 1960 to 1963 ( and thereby temporarily taught at the University of Sierra Leone ). From 1963 to 1966 he was a professor at Yeshiva University, from 1966 to 1968 at Northeastern University and then at MIT, before joining Princeton University in 1975.

Love is significantly involved in the exact treatment of models of statistical mechanics and many-body physics. His many works are mostly concerned with stability of matter ( fundamental work in the 1970s, partly with Walter Thirring ), models of the Ising - type ( with Daniel Mattis ), ferromagnetism and ferroelectric models, the exact solution of the 6- vertex model of two-dimensional " ice," Hartree -Fock theory of Coulombsystemen and Thomas-Fermi theory of atoms, Bosegasen (eg in the 1960s with Liniger ) and Bose -Einstein condensation, the Hubbard model, with the exact treatment of the increase in entropy in the second law of thermodynamics ( with Jacob Yngvason ). With Fa - Yueh Wu 1968 he gave the exact solution of the one-dimensional Hubbard model.

In 1971 he led a Harold Neville Temperley Temperley -Lieb Vazeille algebras.

He is with the German linguist Christiane Fellbaum, the main developer of the WordNet and a member of the Berlin- Brandenburg Academy of Sciences, married.

His doctoral include Horng - Tzer Yau and Jan Solovej.

Prizes and awards

  • Dannie Heineman Prize for Mathematical Physics 1978
  • Max Planck Medal of the German Physical Society (DPG ) ( 1992)
  • In 1994 he was invited speaker at the International Congress of Mathematicians in Zurich ( Fluxes and dimer in the Hubbard model ) and in 1974 in Vancouver ( Thomas Fermi and Hartree Fock Theory).
  • Boltzmann Medal ( 1998)
  • Rolf Schock Prize ( 2001)
  • Austrian Decoration for Science and Art (2002)
  • Henri Poincaré Prize (2003 )
  • Levi L. Conant - Prize ( 2002) with Jacob Yngvason
  • Birkhoff Prize of the American Mathematical Society
  • Honorary Doctor of Mathematics Faculty of the University of Munich ( 2004)

He is a member of the National Academy of Sciences of the United States as well as the Danish and Austrian Academy of Sciences. In 2013 he became a foreign member of the Royal Society. He is a Fellow of the American Mathematical Society.

Publications

  • Daniel C. Mattis: Mathematical physics in one dimension. Exactly soluble models of interacting particles. Academic Press, New York NY, 1966 ( reprints ).
  • Daniel C. Mattis and Theodore D. Schultz: Two- Dimensional Ising model as a soluble problem- of many fermions. In: Reviews of modern physics. Vol 36, No. 3, 1964, ISSN 0034-6861, pp. 856-871, online ( PDF, 2.43 MB ), doi: 10.1103/RevModPhys.36.856.
  • Daniel C. Mattis: Theory of ferromagnetism and the ordering of electronic energy levels. In: Physical Review. Vol 125, No 1, 1962 ISSN 0031- 899X, pp. 164-172, doi: 10.1103/PhysRev.125.164.
  • Exact solution of the problem- of entropy in two- dimensional ice. In: Physical Review Letters. Bd 18, No. 17, 1967, ISSN 0031-9007, pp. 692-694, doi: 10.1103/PhysRevLett.18.692.
  • With Walter Thirring: Bound on the kinetic energy of fermions Which prove the stability of matter. In: Physical Review Lettes. Vol 35, No. 11, 1975, pp. 687-689, doi: 10.1103/PhysRevLett.35.687; Erratum. Vol 35, No. 16, 1975, S. 1116, doi: 10.1103/PhysRevLett.35.1116.
  • The stability of matter. In: Reviews of modern physics. Vol 48, No. 4, 1976, pp. 553-569, doi: 10.1103/RevModPhys.48.553.
  • The stability of matter from atoms to stars. In: Bulletin of the American Mathematical Society. NS Vol 22, No. 1, 1990, ISSN 0273-0979, pp. 1-49, online ( PDF, 4.2 MB).
  • Stability of matter. From atoms to stars. Selecta. Edited by Walter Thirring. With a preface by F. Dyson. Springer, Berlin et al, 1991, ISBN 3-540-53039-8.
  • Statistical Mechanics. Selecta. Edited by Bruno Nachtergaele, Jan P. Solovej, and Jacob Yngvason. Springer, Berlin et al 2004, ISBN 3-540-22297-9.
  • With Robert Seiringer: The stability of matter in quantum mechanics. Cambridge University Press, Cambridge, inter alia, 2009, ISBN 978-0-521-19118-0.
Sam Edwards (physicist) Ferroelectricity Jakob Yngvason Deutsche Physikalische Gesellschaft Rolf Schock Prizes George David Birkhoff Prize Digital Object Identifier Carl Pomerance Nick Katz Peter Sarnak Terence Tao Ronald Solomon Jeffrey Weeks (mathematician) Avi Wigderson John Morgan (mathematician) John C. Baez Integrated Authority File
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