Branches in the spectral flow of the inhomogeneous transfer matrix for the XXZ spin chain

Journal of the Physical Society of Japan

Volumn 72, Issue 7, 2003, Pages 1599-1602

  Kudo, Kazue ^a   Deguchi, Tetsuo ^a  

^a OCHANOMIZU UNIVERSITY   (Japan)

Author keywords

Bethe ansatz; Inhomogeneous case; Level crossings; Spectral flow; Transfer matrix; XXZ spin chain

Indexed keywords

ANISOTROPY; ARTICLE; MATHEMATICAL ANALYSIS; QUANTUM THEORY; SPECTRAL SENSITIVITY;

EID: 0042632732     PISSN: 00319015     EISSN: None     Source Type: Journal    
DOI: 10.1143/JPSJ.72.1599     Document Type: Article

References (16)

1. E. Teller: J. Phys. Chem. 41 (1937) 109.
2. L. D. Landau and E. M. Lifshitz: Quantum Mechanics (Pergamon Press, London, 1958) p. 262.
3. A. S. Davydov: Quantum Mechanics (Pergamon Press, New York, 1965) p. 175.
4. O. J. Heilmann and E. H. Lieb: Ann. N. Acad. Sci. 172 (1971) 583.
5. M. vaz Pires, C. Galloy and J. C. Lorquet: J. Chem. Phys. 69 (1978) 3242.
6. M. V. Berry and M. Wilkinson: Proc. R. Soc. London, Ser. A 392 (1984) 15.
7. J. von Neumann and E. Wigner: Phys. Z. 30 (1929) 467.
8. L. E. Reichl: The Transition to Chaos (Springer-Verlag, New York, 1992) p. 290.
9. T. Deguchi, K. Fabricius and B. M. McCoy: J. Stat. Phys. 102 (2001) 701.
10. K. Fabricius and B. M. McCoy: MathPhys Odyssey 2001, ed. M. Kashiwara and T. Miwa (Birkhäuser, Boston, 2002) p. 119.
11. T. Deguchi: J. Phys. A 35 (2002) 879.
12. T. Deguchi and K. Kudo: Bussei Kenkyu (Kyoto) 80 (2003) 195 [in Japanese].
13. A. Klümper, J. R. Reyes Martínez, C. Scheeren and M. Shiroishi: J. Stat. Phys. 102 (2001) 937.
14. R. J. Baxter: Exactly Solved Models in Statistical Mechanics (Academic Press, London, 1982).
15. L. Takhtajan and L. Faddeev: Russ. Math. Survey 34 (1979) 11.
16. L. A. Takhtajan: Lectutre Notes in Physics (Springer-Verlag, Berlin, 1985) Vol. 242, p. 175.