Abstract
We study the Hamiltonian structure of the Bogoyavlensky lattice, which is an integrable differential-difference equation and is a generalization of the Volterra model. We construct the lattice W algebras by use of the dynamical variables of the Bogoyavlensky lattice, and also show the bi-Hamiltonian structure thereof. The quantization of the lattice W algebras is briefly discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 776-783 |
| Number of pages | 8 |
| Journal | journal of the physical society of japan |
| Volume | 68 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - Mar 1999 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)