Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems
Loris, I. ; Sasaki, R.
arXiv, 0308052 / Harvested from arXiv
Text on arXiv
An interesting observation was reported by Corrigan-Sasaki that all the frequencies of small oscillations around equilibrium are " quantised" for Calogero and Sutherland (C-S) systems, typical integrable multi-particle dynamics. We present an analytic proof by applying recent results of Loris-Sasaki. Explicit forms of `classical' and quantum eigenfunctions are presented for C-S systems based on any root systems.
Publié le : 2003-08-07
Classification:  High Energy Physics - Theory,  Condensed Matter,  Mathematical Physics,  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Quantum Physics 
@article{0308052,
     author = {Loris, I. and Sasaki, R.},
     title = {Quantum \& Classical Eigenfunctions in Calogero \& Sutherland Systems},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0308052}
}

Loris, I.; Sasaki, R. Quantum & Classical Eigenfunctions in Calogero & Sutherland Systems. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0308052/