The Stackel systems and algebraic curves.
| Autor: | Tsiganov, A. V. |
|---|---|
| Předmět: | |
| Zdroj: | Journal of Mathematical Physics; Jan1999, Vol. 40 Issue 1, p279, 20p |
| Abstrakt: | Shows how the Abel-Jacobi map provides all the principal properties of an ample family of integrable mechanical systems associated to hyperelliptic curves. Proof that derivative of the Abel-Jacobi map is just the Stackel matrix; Determination of n-orthogonal curvilinear coordinate systems in flat space; Construction of Lax pairs, r-matrix algebras and explicit form of the flat coordinates. |
| Databáze: | Complementary Index |
| Externí odkaz: |
|