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Journal of Mathematical Physics / Volume 4 / Issue 9

J. Math. Phys. 4, 1154 (1963); http://dx.doi.org/10.1063/1.1704046 (9 pages)

An Exactly Soluble Model of a Many‐Fermion System

J. M. Luttinger

Department of Physics, Columbia University, New York, New York

(Received 2 April 1963)

An exactly soluble model of a one‐dimensional many‐fermion system is discussed. The model has a fairly realistic interaction between pairs of fermions. An exact calculation of the momentum distribution in the ground state is given. It is shown that there is no discontinuity in the momentum distribution in this model at the Fermi surface, but that the momentum distribution has infinite slope there. Comparison with the results of perturbation theory for the same model is also presented, and it is shown that, for this case at least, the perturbation and exact answers behave qualitatively alike. Finally, the response of the system to external fields is also discussed.

© 1963 The American Institute of Physics

ARTICLE DATA

Digital Object Identifier
http://dx.doi.org/10.1063/1.1704046

PUBLICATION DATA

ISSN

0022-2488 (print)  
1089-7658 (online)

Publisher

$abstract.society.value is a Member of CrossRef The American Institute of Physics

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