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Prog. Theor. Phys. Vol. 44 No. 4 (1970) pp. 899-904
Many-Body Problem of Attractive Fermions with Arbitrary Spin in One Dimension
Minoru Takahashi
Department of Physics, University of Tokyo, Tokyo
(Received May 27, 1970)
Abstract:
A set of coupled integral equations which determine the ground state energy of N fermions with arbitrary spin attracting via a delta-function potential are obtained. In the case of ½ spin our equations are equivalent to those of Gaudin.
URL :
http://ptp.ipap.jp/link?PTP/44/899/
DOI : 10.1143/PTP.44.899
References:
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E. Lieb and W. Liniger, Phys. Rev. 130 (1963), 1605[APS].
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J. B. Mc'Guire, J. Math. Phys. 5 (1964), 622[CrossRef].
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J. B. Mc'Guire, J. Math. Phys. 6 (1965), 432[CrossRef];
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M. Flicker and E. H. Lieb, Phys. Rev. 161 (1967), 179[APS].
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M. Gaudin, Phys. Lett. A 24 (1967), 55[CrossRef].
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C. N. Yang, Phys. Rev. Lett. 19 (1967), 1312[APS].
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B. Sutherland, Phys. Rev. Lett. 20 (1968), 98[APS].
Citing Article(s) :
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Journal of the Physical Society of Japan 77 (2008) 024006
(8 pages) :
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Exact Analysis of a δ-Function Spin-1/2 Attractive Fermi Gas with an External Magnetic Field
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Toshiaki Iida and Miki Wadati
