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Prog. Theor. Phys. Supplement No.59 (1976) pp. 101-106
Toda Lattice as an Integrable System and the Uniqueness of Toda's Potential
Katuro Sawada and
Takeyasu Kotera
Institute of Physics, University of Tsukuba, Ibaraki
(Received June 3, 1976)
Abstract:
Treating the integral of Hénon's type, it is shown that Toda's potential is the only possible one to make the system integrable provided the assumption of the nearest neighbour interaction. This method can be applied to the one-dimensional pairing potential system, and the condition to make the system integrable can be written down explicitly.
URL :
http://ptp.ipap.jp/link?PTPS/59/101/
DOI : 10.1143/PTPS.59.101
References:
- For example see the review work of M. Toda himself:
M. Toda, Phys. Rep. 18 (1975), 1[CrossRef].
-
K. Sawada and T. Kotera, J. Phys. Soc. Jpn. 39 (1975), 1614[JPSJ].
-
M. Hénon, Phys. Rev. B 9 (1974), 1921[APS].
- F. Calogero, Lett. Nuovo Cim. 13 (1975), 411.
- Phragmen, Acta Math. 7 (1885).
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Progress of Theoretical Physics Vol. 78 No. 3 (1987) pp. 507-510
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Progress of Theoretical Physics Vol. 106 No. 6 (2001) pp. 1297-1300
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Role of the Imaginary Part in the Moyal Quantization
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