An integrable marriage of the Euler equations with the Calogero-Moser system
โ Scribed by S. Wojciechowski
- Publisher
- Elsevier Science
- Year
- 1985
- Tongue
- English
- Weight
- 251 KB
- Volume
- 111
- Category
- Article
- ISSN
- 0375-9601
No coin nor oath required. For personal study only.
๐ 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
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
This is a continuation of [15]. As is well known, one dimensional conservation laws without source term have been extensively investigated after the foundamental paper of J. Glimm [3]. And those with integrable source terms were solved by Liu [6, 7], etc. For higher dimensional case with spherical s