Joaquin (Quin) Mazdak Luttinger (December 2, 1923 – April 6, 1997) was an American physicist well known for his contributions to the theory of interacting electrons in one-dimensional metals (the electrons in these metals are said to be in a
Luttinger-liquid state) and the
Fermi-liquid theory. He received his BS and PhD in physics from MIT in 1947.
His brother was the physical chemist
Lionel Luttinger (1920–2009) and his nephew is the mathematician Karl Murad Luttinger (born 1961).
See also
*
Negative mass
In theoretical physics, negative mass is a hypothetical type of exotic matter whose mass is of opposite sign to the mass of normal matter, e.g. −1 kg. Such matter would violate one or more energy conditions and exhibit strange properties ...
*
Schrieffer–Wolff transformation
*
Wiener sausage
*
Fermi liquid
Fermi liquid theory (also known as Landau's Fermi-liquid theory) is a theoretical model of interacting fermions that describes the normal state of the conduction electrons in most metals at sufficiently low temperatures. The theory describes the ...
*
Many-body problem
The many-body problem is a general name for a vast category of physical problems pertaining to the properties of microscopic systems made of many interacting particles. Terminology
''Microscopic'' here implies that quantum mechanics has to be ...
*
Anomalous magnetic moment
*
Effective mass theory
*
k·p perturbation theory
Notes
Some publications
(Note: For a complete list, se
J. Stat. Phys. 103, 641 (2001))
*
W. Kohn, and J. M. Luttinger, ''Quantum Theory of Electrical Transport Phenomena'', Physical Review, Vol. 108, pp. 590–611 (1957)
APS* W. Kohn, and J. M. Luttinger, ''Quantum Theory of Electrical Transport Phenomena. II'', Physical Review, Vol. 109, pp. 1892–1909 (1958)
APS* J. M. Luttinger, ''Theory of the Hall Effect in Ferromagnetic Substances'', Physical Review, Vol. 112, pp. 739–751 (1958)
APS* W. Kohn, and J. M. Luttinger, ''Ground-State Energy of a Many-Fermion System'', Physical Review, Vol. 118, pp. 41–45 (1960)
APS* J. M. Luttinger, and
J. C. Ward, ''Ground-State Energy of a Many-Fermion System. II'', Physical Review, Vol. 118, pp. 1417–1427 (1960)
APS* J. M. Luttinger, ''Fermi Surface and Some Simple Equilibrium Properties of a System of Interacting Fermions'', Physical Review, Vol. 119, pp. 1153–1163 (1960)
APS* J. M. Luttinger, ''Analytic Properties of Single-Particle Propagators for Many-Fermion Systems'', Physical Review, Vol. 121, pp. 942–949 (1961)
APS* J. M. Luttinger, ''Theory of the de Hass-van Alphen Effect for a System of Interacting Fermions'', Physical Review, Vol. 121, pp. 1251–1258 (1961)
APS* J. M. Luttinger, ''Derivation of the Landau Theory of Fermi Liquids. I. Formal Properties'', Physical Review, Vol. 127, pp. 1423–1431 (1962)
APS* J. M. Luttinger, ''Derivation of the Landau Theory of Fermi Liquids. II. Equilibrium Properties and Transport Equation'', Physical Review, Vol. 127, pp. 1431–1440 (1962)
APS* J. M. Luttinger, ''An exactly solvable model of a many-fermion system'', Journal of Mathematical Physics, Vol. 4, No. 9, pp. 1154–1162 (1963).
* W. Kohn, and J. M. Luttinger, ''New Mechanism for Superconductivity'', Physical Review Letters, Vol. 15, No. 12, pp. 524–526 (1965)
APS* R. Friedberg, and J. M. Luttinger, ''Density of electronic energy levels in disordered systems'', Physical Review B, Vol. 12, pp. 4460–4474 (1975)
APS* J. M. Luttinger, ''Density of electronic energy levels in disordered systems. II'', Physical Review B, Vol. 13, pp. 2596–2600 (1976)
APS* R. Tao, and J. M. Luttinger, ''Exact evaluation of Green's functions for a class of one-dimensional disordered systems'', Physical Review B, Vol. 27, pp. 935–944 (1983)
APS
Obituary
*
Philip W. Anderson, Richard M. Friedberg, and
Walter Kohn, ''Joaquin M. Luttinger'', Physics Today, December 1997, pp. 89–90
PDF.
Note: This obituary is reprinted with permission in ''Journal of Statistical Physics'', Vol. 103, Nos. 3/4, pp. 413–415 (2001)
Link.
External links
* Photograph of J.M. Luttinger
* Robert Nelson, ''Leading Physicist Joaquin Luttinger, 73'', April 18, 1997,
Columbia University
Columbia University in the City of New York, commonly referred to as Columbia University, is a Private university, private Ivy League research university in New York City. Established in 1754 as King's College on the grounds of Trinity Churc ...
,
New York,
Walter Kohn, "Joaquin M. Luttinger", Biographical Memoirs of the National Academy of Sciences (2014)*
David Clary, Clary, David C.Walter Kohn: From Kindertransport and Internment to DFT and the Nobel Prize World Scientific Publishing (2024).
{{DEFAULTSORT:Luttinger, Joaquin Mazdak
1923 births
1997 deaths
Massachusetts Institute of Technology School of Science alumni
American theoretical physicists
University of Michigan faculty
Fellows of the American Physical Society
Scientists from New York City