FOCK SPACES FOR THE CALOGERO MODELS WITH DISTINGUISHABLE PARTICLES

Authors
UJINO H NISHINO A WADATI M
Citation
H. Ujino et al., FOCK SPACES FOR THE CALOGERO MODELS WITH DISTINGUISHABLE PARTICLES, Journal of the Physical Society of Japan, 67(8), 1998, pp. 2658-2665
Citations number
34
Categorie Soggetti
Physics
Journal title
Journal of the Physical Society of Japan → ACNP
ISSN journal
00319015
Volume
67
Issue
8
Year of publication
1998
Pages
2658 - 2665
Database
ISI
SICI code
0031-9015(1998)67:8<2658:FSFTCM>2.0.ZU;2-N
Abstract
We present the creation, annihilation and number operators for the A(N - 1)- and B-N-Calogero models with distinguishable particles. In a pa rallel way to the construction of the Fock space of the quantum harmon ic oscillators, we construct the Fock spaces as the simultaneous eigen functions of the number operators for the Calogero models. Relationshi ps between the Fock spaces and the known nonsymmetric orthogonal bases , which are spanned by the variants of the Jack polynomials, are prese nted.