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A one-dimensionalN Fermion problem with factorizedS matrix

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Abstract

A one dimensionalN Fermion problem with attractive or repulsiveδ function interaction is solved by Bethe's hypothesis. TheS matrix factorizes and is explicitly given.

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References

  1. Yang, C.N.: Phys. Rev. Lett.19, 1312 (1967)

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  2. Yang, C.N.: Phys. Rev.168, 1920 (1968)

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  3. Bethe, H.A.: Zeit. Phys.71, 205 (1931); L. Hulthen Arkiv. f. Matematik, Astr. Och Fysik26A, No. 11 (1938). The first application of Bethe's hypothesis to the Hamiltonian (1) for Bosons was in E. Lieb and W. Liniger. Phys. Rev.130, 1605 (1963) and McQuire, J. B.: J.Math. Phys.5, 622 (1964)

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  4. The name Bethe's hypothesis or Bethe's ansatz was coined by C. N. Yang and C. P. Yang in 1966. See Chen Ning Yang, Selected Papers with Commentary, p. 63 (Freeman, 1983)

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Author notes

  1. C. H. Gu

    Present address: Chinese University of Science and Technology, Hefei, People's Republic of China

Authors and Affiliations

  1. Institute for Theoretical Physics, State University of New York, 11794-3840, Stony Brook, NY, USA

    C. H. Gu & Chen Ning Yang

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  1. C. H. Gu
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  2. Chen Ning Yang
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Communicated by M. E. Fisher

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Gu, C.H., Yang, C.N. A one-dimensionalN Fermion problem with factorizedS matrix. Commun.Math. Phys. 122, 105–116 (1989). https://doi.org/10.1007/BF01221409

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  • DOI: https://doi.org/10.1007/BF01221409

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