Abstract / Description of output
Suppose we have a natural Hamiltonian H of n particles on the line, centre-of-mass momentum P and a further independent quantity e, cubic in the momenta. If these are each S, invariant and mutually Poisson commute we have the Calogero-Moser system with potential V = 1/6 Sigma (i not equalj) p(q(i) - q(j)) + const.
| Original language | English |
|---|---|
| Pages (from-to) | 2197-2204 |
| Number of pages | 8 |
| Journal | Journal of Physics A: Mathematical and General |
| Volume | 34 |
| Issue number | 11 |
| Publication status | Published - 23 Mar 2001 |
Keywords / Materials (for Non-textual outputs)
- GENERAL ANALYTIC SOLUTION
- STATE WAVE-FUNCTION
- MANY-BODY PROBLEMS
- DIFFERENTIAL-OPERATORS
- LAX REPRESENTATION
- INTEGRABLE SYSTEMS
- ADDITION TYPE
- LIE-ALGEBRAS
- INVARIANT