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 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 show some strange properties such as the ...
*
Schrieffer–Wolff transformation
In quantum mechanics, the Schrieffer–Wolff transformation is a unitary transformation used to perturbatively diagonalize the system Hamiltonian to first order in the interaction. As such, the Schrieffer–Wolff transformation is an operator v ...
*
Wiener sausage
In the mathematical field of probability, the Wiener sausage is a neighborhood of the trace of a Brownian motion up to a time ''t'', given by taking all points within a fixed distance of Brownian motion. It can be visualized as a sausage of fixe ...
*
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 most metals at sufficiently low temperatures. The interactions among the particles of the many-body ...
*
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. ''Microscopic'' here implies that quantum mechanics has to be used to provid ...
*
Anomalous magnetic moment
In quantum electrodynamics, the anomalous magnetic moment of a particle is a contribution of effects of quantum mechanics, expressed by Feynman diagrams with loops, to the magnetic moment of that particle. (The ''magnetic moment'', also called '' ...
*
Effective mass theory
*
k·p perturbation theory
In solid-state physics, the k·p perturbation theory is an approximated semi-empirical approach for calculating the band structure (particularly effective mass) and optical properties of crystalline solids.
It is pronounced "k dot p", and is ...
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
Walter Kohn (; March 9, 1923 – April 19, 2016) was an Austrian-American theoretical physicist and theoretical chemist.
He was awarded, with John Pople, the Nobel Prize in Chemistry in 1998. The award recognized their contributions to the unde ...
, ''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 (also known as Columbia, and officially as Columbia University in the City of New York) is a private research university in New York City. Established in 1754 as King's College on the grounds of Trinity Church in Manhatt ...
,
New York,
Walter Kohn, "Joaquin M. Luttinger", Biographical Memoirs of the National Academy of Sciences (2014)
{{DEFAULTSORT:Luttinger, Joaquin Mazdak
1923 births
1997 deaths
MIT Department of Physics alumni
Theoretical physicists
University of Michigan faculty
Fellows of the American Physical Society