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Luttinger : ウィキペディア英語版
Joaquin Mazdak Luttinger

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 Luttinger model was introduced by Luttinger in 1963 (''J. Math. Phys.'', Vol. 4, 1154 (1963)). Luttinger's solution of this model was however incorrect. The correct solution was later provided by D. C. Mattis and E. H. Lieb (''J. Math. Phys.'', Vol. 6, 304 (1965)). The error by Luttinger consists of solving the problem without imposing an appropriate cut-off on sums over momenta, whereby he erroneously mapped the interacting problem onto a non-interacting one. The Luttinger model is akin, but not identical, to an earlier model introduced by Sin-Itiro Tomonaga (''Progress of Theoretical Physics'', Vol. 5, No. 4, pp. 544-569 (1950)).〕 (the electrons in these metals are said to be in a Luttinger-liquid state) and the Fermi-liquid theory. His brother was the physical chemist Lionel Luttinger (1920–2009) and his nephew is the mathematician Karl Murad Luttinger (born 1961).
==Notes==


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