An integrable marriage of the Euler equations to the Calogero-Moser system
β Scribed by S. Wojciechowski
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 41 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0167-2789
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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.
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