We prove that the classical, non-periodic Toda lattice is super-integrable. In other words, we show that it possesses 2N ร 1 independent constants of motion, where N is the number of degrees of freedom. The main ingredient of the proof is the use of some special action-angle coordinates introduced b
โฆ LIBER โฆ
Super toda lattices
โ Scribed by E. D. Van Der Lende; H. G. J. Pijls
- Publisher
- Springer Netherlands
- Year
- 1995
- Tongue
- English
- Weight
- 59 KB
- Volume
- 41
- Category
- Article
- ISSN
- 0167-8019
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This Letter contains constructions of complex action variables for both the full Kostant-Toda Lattice in sl(n, ~) and the generalized nonperiodic tridiagonal Toda lattice associated to an arbitrary complex semisimple Lie algebra g. The main tool is the explicit factorization solution for certain Ham