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Classical and quantum-mechanical systems of Toda lattice type. I (1982)

Goodman, Roe ; Wallach, Nolan R.

Springer

Communications in mathematical physics 83 (1982), S. 355-386

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ISSN: 1432-0916

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics , Physics

Notes: Abstract The structure of the commutant of Laplace operators in the enveloping and “Poisson algebra” of certain generalized “ax +b” groups leads (in this article) to a determination of classical and quantum mechanical first integrals to generalized periodic and non-periodic Toda lattices. Certain new Hamiltonian systems of Toda lattice type are also shown to fit in this framework. Finite dimensional Lax forms for the (periodic) Toda lattices are given generalizing results of Flaschke.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01213608

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