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Elliott H. Lieb | |
---|---|

Born | |

Nationality | American |

Alma mater | MIT University of Birmingham |

Known for | Araki-Lieb-Thirring inequality Temperley–Lieb algebra Lieb's square ice constant Lieb–Liniger model Strong Subadditivity of Quantum Entropy Lieb–Thirring inequality Brascamp–Lieb inequality Lieb–Oxford inequality AKLT model Lieb-Robinson bounds Lieb-Yngvason Entropy principle Choquard equation Wehrl entropy conjecture 1-D Hubbard model |

Awards | Heineman Prize for Mathematical Physics (1978) Max Planck medal Birkhoff Prize (1988) Boltzmann medal (1998) Rolf Schock Prizes in Mathematics (2001) Levi L. Conant Prize (2002) Henri Poincaré Prize (2003) |

Scientific career | |

Fields | Mathematics, Physics |

Institutions | Princeton University |

Doctoral advisor | Samuel Frederick Edwards Gerald Edward Brown |

**Elliott Hershel Lieb**^{[1]} (born July 31, 1932) is an American mathematical physicist and professor of mathematics and physics at Princeton University who specializes in statistical mechanics, condensed matter theory, and functional analysis.

In particular, his scientific works pertain to: the quantum and classical many-body problem, the stability of matter, atomic structure, the theory of magnetism, and the Hubbard model.

He is a prolific author in mathematics and physics with over 300 publications. He received his B.S. in physics from MIT (1953) and his Ph.D. in mathematical physics from the University of Birmingham in England (1956). Lieb was a (1956–1957) Fulbright Fellow at Kyoto University, Japan and for some time worked as the Staff Theoretical Physicist for IBM.

He has been a professor at Princeton since 1975, following a leave from his professorship at MIT. Lieb has been awarded several prizes in mathematics and physics, including the 1978 Heineman Prize for Mathematical Physics of the American Physical Society and the American Institute of Physics (1978), the Max Planck Medal of the German Physical Society (1992), the Boltzmann medal of the International Union of Pure and Applied Physics (1998), the Schock Prize (2001), and the Henri Poincaré Prize of the International Association of Mathematical Physics (2003). He is a member of the U.S. National Academy of Sciences and has twice served (1982–1984 and 1997–1999) as the President of the International Association of Mathematical Physics. Lieb was awarded the Austrian Decoration for Science and Art in 2002.^{[2]} In 2012 he became a fellow of the American Mathematical Society^{[3]} and in 2013 a Foreign Member of the Royal Society.^{[4]}

He is married to fellow Princeton professor Christiane Fellbaum.

## Publication list (partial)

- Lieb, Elliott H.; Loss, Michael. Analysis. Graduate Studies in Mathematics, 14. American Mathematical Society, Providence, RI, 1997. xviii+278 pp. ISBN 0-8218-0632-7
- Lieb, Elliott H. The Stability of Matter: From Atoms to Stars. Selecta of Elliott H. Lieb. Edited by W. Thirring, with a preface by F. Dyson. Springer-Verlag, Berlin, 2005. xv+932 pp. ISBN 3-540-22212-X
- Lieb, Elliott H. Inequalities. Selecta of Elliott H. Lieb. Edited, with a preface and commentaries, by M. Loss and M. B. Ruskai. Springer-Verlag, Berlin, 2002. xi+711 pp. ISBN 3-540-43021-0
- Lieb, Elliott H. Statistical mechanics. Selecta of Elliott H. Lieb. Edited, with a preface and commentaries, by B. Nachtergaele, J. P. Solovej and J. Yngvason. Springer-Verlag, Berlin, 2004. x+505 pp. ISBN 3-540-22297-9
- Lieb, Elliott H. Condensed matter physics and exactly soluble models. Selecta of Elliott H. Lieb. Edited by B. Nachtergaele, J. P. Solovej and J. Yngvason. Springer-Verlag, Berlin, 2004. x+675 pp. ISBN 3-540-22298-7
- Lieb, Elliott H.; Seiringer, Robert; Solovej, Jan Philip; Yngvason, Jakob. The mathematics of the Bose gas and its condensation. Oberwolfach Seminars, 34. Birkhäuser Verlag, Basel, 2005. viii+203 pp. ISBN 978-3-7643-7336-8; 3-7643-7336-9

## See also

- Adiabatic accessibility
- AKLT model
- Brascamp–Lieb inequality
- Entropy
- Lieb conjecture
- Lieb–Liniger Model
- Lieb–Oxford inequality
- Lieb-Robinson bounds
- Lieb–Thirring inequality
- Lieb's square ice constant
- Lieb's theorem
- Temperley–Lieb algebra
- Von Neumann entropy

## References

**^***Convex Trace Functions and the Wigner-Yanase-Dyson Conjecture*.**^**"Reply to a parliamentary question" (pdf) (in German). p. 1517. Retrieved 19 November 2012.**^**List of Fellows of the American Mathematical Society, retrieved 2013-01-27.**^**"New Fellows 2013". Royal Society. Retrieved 30 July 2013.

## External links

- Faculty page at Princeton.