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 __TOC__
Lionel may refer to: Name
* Lionel (given name) Places
*Lionel, Lewis, a village in the Outer Hebrides of Scotland
* Lionel Town, Jamaica, a settlement Brands and enterprises
* Lionel, LLC, an American designer and importer of toy trains and ...
(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 th ...
*
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
*
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
*
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 al ...
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 Manha ...
,
New York
New York most commonly refers to:
* New York City, the most populous city in the United States, located in the state of New York
* New York (state), a state in the northeastern United States
New York may also refer to:
Film and television
* '' ...
,
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