Bethe ansatz and classical Hirota equation
Journal Article
·
· International Journal of Modern Physics B
- Univ. of Chicago, IL (United States)
The authors discuss an interrelation between quantum integrable models and classical soliton equations with discretized time. It appeared that spectral characteristics of quantum integrable systems may be obtained from entirely classical set up. Namely, the eigenvalues of the quantum transfer matrix and the scattering S-matrix itself are identified with a certain {tau}-functions of the discrete Liouville equation. The Bethe ansatz equations are obtained as dynamics of zeros. For comparison the authors also present the Bethe ansatz equations for elliptic solutions of the classical discrete Sine-Gordon equation. The paper is based on the recent study of classical integrable structures in quantum integrable systems.
- Sponsoring Organization:
- National Science Foundation, Washington, DC (United States)
- OSTI ID:
- 462619
- Report Number(s):
- CONF-9603223--
- Journal Information:
- International Journal of Modern Physics B, Journal Name: International Journal of Modern Physics B Journal Issue: 1-2 Vol. 11; ISSN IJPBEV; ISSN 0217-9792
- Country of Publication:
- United States
- Language:
- English
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