Shi Kangjie; Li Guangliang; Fan Heng; Hou Boyu

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《中国物理C》（英文）编辑部

2024年10月30日

Chinese Physics C> 1998, Vol. 22> Issue(12) : 1100-1111

由因式化L算子所构成的经典可积动力学体系

Institute of Modern Physics. Northwest University. Xi' an 710069

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Abstract：
An integrable model with non-period boundary condition is constructed by use of factorized L operator. Taking trigonometric limit and scalar limit to the transfer matrix, we obtain the classical Hamiltonian of the n dimentional system (n is odd number). The result shows that this integrable system is similar to those found by Calogero et al.

References

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Moser J.Adv. Math, 1975, 16:1—23 [2] Calogero E. Lett. Nuovo Cim, 1975, 13:411─416 [3] Olshanetsky M A. Perelomov A M. Phys.Repts, 1981, 71:313—400 [4] Ruijsenaars S N M Schnelder H. Ann. Phys,1986, 170:370─405[5] Hasegawa K. Commun. Math Phys.,1997,187:289—325 [6] Antonov A. Hasegawa K, Zabrodin A. LPTHE 97─09 [7] Belavin A A. Nucl.Phys., 1980, B180: 109 [8] Hou B Y, Shi K J,Yang Z X.J. Phys.,1993, A26:4951 [9] Baxter R J. Exactly Solved Models in Statistical Mechanics,(Academic Dess 1982) [10] Yang C Y.Phys. Rev.Lett.,1967, 19:1312 [11] Sklyanin E K. J. Phys.,1988, A21:2375 [12] Cherednik I V.Theor. Math. Phys., 1983, 17:77;1984, 21:911[13] Fan R, Hou B Y, Shi K J et al. Phys, Lell.,1995, A200: 109[14] Hou B Y, Shi K J, Fan H et al. Comrnun. Theor Phys., 1995, 23: 163─166 [15] Jimbo M, Miwa T, Okado M. Nucl Phys.,1988, B300:74 [16] Bazhanov V V, Kashaev R M Mangazeev V V et al. Commun. Math Phys., 1991, 138:391[17] Quano Y H,INS–T–513, Proc. of the Workshop on New Aspects of Quantum Field Theories, ed. S. Nojiri,pp29—45 [18] Hasegawa K J. Math. Phys., 1994, 35:6158

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Received: 1997-12-23
Revised: 1900-01-01

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1.
沈阳化工大学材料科学与工程学院沈阳 110142

由因式化L算子所构成的经典可积动力学体系

Corresponding author: Shi Kangjie,

Institute of Modern Physics. Northwest University. Xi' an 710069

Received Date: 1997-12-23
Accepted Date: 1900-01-01
Available Online: 1998-12-05

Abstract: An integrable model with non-period boundary condition is constructed by use of factorized L operator. Taking trigonometric limit and scalar limit to the transfer matrix, we obtain the classical Hamiltonian of the n dimentional system (n is odd number). The result shows that this integrable system is similar to those found by Calogero et al.