Abstract
The relation between the Calogero model, namely, a system of N identical particles in one dimension with inverse-square interactions, and the three classical types of quantum-mechanical matrix models is well-known. In this talk I explore various generalized Calogero models and identify the quantum mechanical matrix model they correspond to at special values of their couplings. I also present and briefly discuss the collective field formulation of these generalized Calogero models.
Original language | English |
---|---|
Pages (from-to) | 4041-4054 |
Number of pages | 14 |
Journal | Acta Physica Polonica B |
Volume | 38 |
Issue number | 13 SPEC. ISS. |
State | Published - 2007 |
Event | Conference on Random Matrix Theory From Fundamental Physics to Applications - Krakow, Poland Duration: 2 May 2007 → 6 May 2007 |
ASJC Scopus subject areas
- General Physics and Astronomy