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An integrable marriage of the Euler equations to the Calogero-Moser system

✍ Scribed by S. Wojciechowski


Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
41 KB
Volume
28
Category
Article
ISSN
0167-2789

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πŸ“œ SIMILAR VOLUMES


The propagator of the Calogero-Moser sys
✍ M. Fleury πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 960 KB

We obtain the Hamilton operator of the Calogero-Moser quantum system in an external quadratic potential by conjugating the radial part for the action of SO(n) by conjugacy of the Hamilton operator of the quantum harmonic oscillator on the Euclidean vector space of real symmetric matrices. Then, with

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The canonical transformation and its unitary counterpart which relate the rational Calogero-Moser system to the free one are constructed. @ 1999 Elsevier Science B.V.

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✍ H. Gzyl πŸ“‚ Article πŸ“… 1994 πŸ› Elsevier Science 🌐 English βš– 403 KB

provide a path integral representation of the solution to Euler's equation, describing the transversal oscillations of a rail under action of damping, restoring, and external forces, with respect to the trajectories of a quasi-Markov process naturally associated with Euler's equation for the free, i