An Exactly Soluble Model of a Many-Fermion System

Journal of Mathematical Physics - Tập 4 Số 9 - Trang 1154-1162 - 1963
J. M. Luttinger1
1Department of Physics, Columbia University, New York, New York

Tóm tắt

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.

Từ khóa


Tài liệu tham khảo

1958, Ann. Phys., 3, 91, 10.1016/0003-4916(58)90015-0

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1961, Nucl. Phys., 9, 124

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1960, Phys. Rev., 118, 1417, 10.1103/PhysRev.118.1417

1960, Phys. Rev., 119, 1153, 10.1103/PhysRev.119.1153

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1956, Rev. Mod. Phys., 28, 308, 10.1103/RevModPhys.28.308

Thông tin
Thông tin xuất bản

Journal of Mathematical Physics

Tập 4 Số 9

1154-1162

Thông tin tác giả