Elliott dear

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Elliott H. Lieb (2004)

Elliott Hers (c) hel Lieb (born July 31, 1932 in Boston , Massachusetts ) is an American physicist whose main field of work is mathematical physics , in particular the mathematical treatment of statistical mechanics and the stability of matter.

Live and act

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

Lieb is significantly involved in the exact treatment of models in statistical mechanics and many-body physics . His numerous works include: a. with stability of matter (basic work in the 1970s partly with Walter Thirring ), Ising-type models (with Daniel Mattis ), ferromagnetism and ferroelectric models, the exact solution of the 6-vertex model of two-dimensional "ice", Hartree-Fock -Theory of Coulomb systems and Thomas-Fermi model of atoms, Bose gases (e.g. in the 1960s with Werner Liniger) and Bose-Einstein condensation , the Hubbard model , with the exact treatment of the entropy increase in the second law of thermodynamics (with Jakob Yngvason ). With Fa-Yueh Wu in 1968 he gave the exact solution of the one-dimensional Hubbard model. Together with Derek W. Robinson , he derived barriers for the speed of information propagation in non-relativistic quantum mechanical spin systems with local interactions, which today play an important role as Lieb-Robinson barriers, e.g. B. can play in error estimation in the thermodynamic limit case or in quantum simulation and can be used to (with the distance) exponential decay of correlations in spin systems or statements about the size of the energy gap over the ground state in higher-dimensional spin systems (generalized Lieb– Schultz – Mattis theorems ).

With Daniel Mattis and T. Schultz, he dealt with the two-dimensional Ising model in 1964 (with a new derivation of the exact solution from Lars Onsager via a Jordan-Wigner transformation of the transfer matrices) and in 1961 solved the XY model , an exactly solvable one-dimensional spin 1/2 -Model.

In 1971 he introduced the Temperley-Lieb algebras with Harold Neville Vazeille Temperley . In 1972, together with Mary Beth Ruskai , he demonstrated the strong subadditivity for the Von Neumann entropy of quantum mechanical states (the theorem is important in quantum information theory ).

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

His doctoral students include Horng-Tzer Yau and Jan Solovej .

Prizes and awards

Yngvason (left), Lieb, Seiringer (right) in Oberwolfach 2004

He is a member of the US National Academy of Sciences , the American Academy of Arts and Sciences and the Danish and Austrian Academy of Sciences . In 2013 he became an external member of the Royal Society and in 2014 of the Academia Europaea . He is a fellow of the American Mathematical Society .

Publications

Web links

Individual evidence

  1. ^ Elliott H. Lieb, Derek W. Robinson: The finite group velocity of quantum spin systems . In: Comm. Math. Phys. tape 28 , no. 3 , 1972, p. 251-257 ( projecteuclid.org ).
  2. ^ Matthew Hastings: Lieb-Schultz-Mattis in higher dimensions . In: Phys. Rev. B . tape 69 , 2004, pp. 104431-10444 , doi : 10.1103 / PhysRevB.69.104431 , arxiv : cond-mat / 0305505 .
  3. ^ Lieb, Schultz, Mattis, Rev. Mod. Phys., Volume 36, 1964, p. 856
  4. ^ Lieb, Schultz, Mattis, Annals of Physics, Volume 16, 1961, p. 407
  5. ↑ Lieb, Ruskai: Proof of the strong subadditivity of quantum mechanical entropy . In: J. Math. Phys. tape 14 , 1973, p. 1938–1941 , doi : 10.1063 / 1.1666274 .
  6. ↑ Vershynina, Carlen, Lieb, Strong Subadditivity of Quantum Entropy, Scholarpedia
  7. ↑ List of all decorations awarded by the Federal President for services to the Republic of Austria from 1952 (PDF; 6.6 MB)
  8. ^ New Fellows 2013 of the Royal Society (royalsociety.org); Retrieved May 7, 2013
personal data
SURNAME Dear Elliott
ALTERNATIVE NAMES Dear, Elliott Herschel
BRIEF DESCRIPTION American physicist, professor of mathematics
DATE OF BIRTH July 31, 1932
PLACE OF BIRTH Boston , Massachusetts