Skip to main content
Log in

Pauli principle for one-dimensional bosons and the algebraic bethe ansatz

  • Published:
Letters in Mathematical Physics Aims and scope Submit manuscript

Abstract

For the construction of the physical vacuum in exactly solvable one-dimensional models of interacting bosons it is important that the momenta of all the particles be different. We give a formal proof that they are indeed different.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Lieb, E.H. and Mattis, D.C. (eds.), Mathematical Physics in One Dimension, New York and London, 1966.

  2. FaddeevL.D., Sov. Sci. Rev. Math. Phys. C1, 107 (1981).

    Google Scholar 

  3. McGuireJ.B., J. Math. Phys. 5, 622 (1964); Brezin, E. and Zinn-Justin, J., C. R. Acad. Sci. Paris, 263, 670 (1966); Berezin, F.A., Pokhil, G.P., and Finkelberg, V.M., Vestnik Mosk. Gos. Univ. 1, 21 (1964).

    Google Scholar 

  4. YangC.N. and YangC.P., J. Math. Phys. 10, 1115 (1969).

    Article  Google Scholar 

  5. SklyaninE.K., Doklady ANSSSR 244, 1337 (1978); Zapiski nauchn. seminarov LOMT 95, 55 (1980).

    Google Scholar 

  6. IzerginA.G., KorepinV.E., and SmirnovF.A., Teor. i Mat. Fiz. 48, 319 (1981).

    Google Scholar 

  7. IzerginA.G. and KorepinV.E., Doklady ANSSSR, 259, 76 (1981).

    Google Scholar 

  8. Korepin, V.E., sumitted to CMP.

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Izergin, A.G., Korepin, V.E. Pauli principle for one-dimensional bosons and the algebraic bethe ansatz. Lett Math Phys 6, 283–288 (1982). https://doi.org/10.1007/BF00400323

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00400323

Keywords

Navigation