Abstract
Quantum integrable particle systems with inverse square interactions in one-dimensional space are investigated by use of the quantum inverse scattering method. For the case of particles with SU(ν) spins, a hidden symmetry is the SU(ν)U(1)U(ν) current algebra. The system has a higher symmetry, the W1+ algebra. This W algebra structure unifies the Calogero type (1x2 interactions) and the Sutherland type (1sin2x interactions). The energy spectra of the systems are obtained in a simple manner based on the fermion representation of the algebra.
| Original language | English |
|---|---|
| Pages (from-to) | 1191-1194 |
| Number of pages | 4 |
| Journal | Physical Review Letters |
| Volume | 73 |
| Issue number | 9 |
| DOIs | |
| Publication status | Published - Jan 1 1994 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Physics and Astronomy(all)