A nonlinear identity for the scattering phase of integrable models
Teoretičeskaâ i matematičeskaâ fizika, Tome 116 (1998) no. 3, pp. 362-366
Citer cet article
Voir la notice de l'article provenant de la source Math-Net.Ru
The scattering phase of quantum integrable models is found from linear integral equations of a special type. Solutions of these equations satisfy some nonlinear identities, which, in particular, relate the values of the scattering phase at the boundaries of the Fermi sphere.
[1] V. E. Korepin, N. A. Slavnov, The New Identity for the Scattering Matrix of Exactly Solvable Models, E-print solv-int/9712005 | MR
[2] C. N. Yang, C. P. Yang, J. Math. Phys., 10 (1969), 1115 | DOI | MR | Zbl
[3] V. E. Korepin, TMF, 41:2 (1979), 169 | MR
[4] E. H. Lieb, W. Liniger, Phys. Rev., 130 (1963), 1605 | DOI | MR | Zbl
[5] E. H. Lieb, Phys. Rev., 130 (1963), 1616 | DOI | MR
[6] V. E. Korepin, N. M. Bogoliubov, A. G. Izergin, Quantum Inverse Scattering Method and Correlation Functions, Cambridge Univ. Press, Cambridge, 1993 | MR | Zbl