Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Acta Physica Sinica

Coherent state of three-particle Calogero-Sutherland model

Wenbo Li, Li Mi-Shan, Yaling Li, Wen Xiao-Yang, Yuan Guang-Jun, Zhang Chi, Yang Tao, 北京交通大学物理系，北京 100044

Published Jan 1, 2008• 0 citations
Publisher

Abstract

The three-particle CSM (Calogero-Sutherland model) is solved by the pseudo-angular-momentum method. Analytic expressions of the eigenstate and coherent states are obtained.
DOI
10.7498/aps.57.2674

Related papers

Algebraic solution of three-dimensional two-particle Calogero-Sutherland module

Tao Yang

The operator system of three-dimensional twoparticle Calogero-Sutherland module(CSM) is obtained by sing the pseudo-angularmomentum operator method(PAMOM);the symmetry of spectrum space is then investigated.The normalized eigenfunction and the analytical expression of Glauber coherent state are obtained.

College Physics•Jan 1, 2009•0 citations

Realization of the Calogero-Moser scattering states as coherent states

Nakka Gurappa, Priti S. Mohanty, Prasanta Kumar Panigrahi

A realization is provided for the scattering states of the N-particle Calogero-Moser Hamiltonian. They are explicitly shown to be the coherent states of the singular oscillators of the Calogero-Sutherland model. Our algebraic treatment is straightforwardly extendable to a large number of few- and many-body interacting systems in one and higher dimensions.

arXiv:quant-ph/9908045•Physical Review A•Feb 15, 2000•9 citations

COHERENT STATES AND GEOMETRIC PHASES IN THE CALOGERO–SUTHERLAND MODEL

Dae-Yup Song, JeongHyeong Park

Exact coherent states in the Calogero–Sutherland models (of time-dependent parameters) which describe identical harmonic oscillators interacting through inverse-square potentials are constructed, in terms of the classical solutions of a harmonic oscillator. For quasi-periodic coherent states of the time-periodic systems, geometric phases are evaluated. For the AN-1 Calogero–Sutherland model, the phase is calculated for a general coherent state. The phases for other models are also considered.

arXiv:quant-ph/0109108•International Journal of Modern Physics A•Jan 20, 2002•4 citations

Collective Field Description of Spin Calogero-Sutherland Models

Hidetoshi Awata, Yutaka Matsuo, T. Yamamoto

Using the collective field technique, we give the description of the spin Calogero-Sutherland Model (CSM) in terms of free bosons. This approach can be applicable for arbitrary coupling constant and provides the bosonized Hamiltonian of the spin CSM. The boson Fock space can be identified with the Hilbert space of the spin CSM in the large N limit. We show that the eigenstates corresponding to the Young diagram with a single row or column are represented by the vertex operators. We also derive a dual description of the Hamiltonian and comment on the construction of the general eigenstates. JSPS fellow

•Jan 1, 1995•9 citations

Collective field description of spin Calogero - Sutherland models

H Awata, Y Matsuo, T Yamamoto

Using the collective field technique, we give the description of the spin Calogero - Sutherland model (CSM) in terms of free bosons. This approach can be applicable for arbitrary coupling constant and provides the bosonized Hamiltonian of the spin CSM. The boson Fock space can be identified with the Hilbert space of the spin CSM in the large-N limit. We show that the eigenstates corresponding to the Young diagram with a single row or column are represented by the vertex operators. We also derive a dual description of the Hamiltonian and comment on the construction of the general eigenstates.

arXiv:hep-th/9512065•Journal of Physics A Mathematical and General•Jun 21, 1996•13 citations

All the Exact Solutions of Generalized Calogero-Sutherland Models

Nobuyoshi Ohta

A collective field method is extended to obtain all the explicit solutions of the generalized Calogero-Sutherland models that are characterized by the roots of all the classical groups, including the solutions corresponding to spinor representations for $B_N$ and $D_N$ cases.

arXiv:hep-th/9605083•Journal of the Physical Society of Japan•Dec 15, 1996•2 citations
Exact coherent states in the Calogero–Sutherland models (of time-dependent parameters) which describe identical harmonic oscillators interacting through inverse-square potentials are constructed, in terms of the classical solutions of a harmonic oscillator. For quasi-periodic coherent states of the time-periodic systems, geometric phases are evaluated. For the AN-1 Calogero–Sutherland model, the phase is calculated for a general coherent state. The phases for other models are also considered.
Using the collective field technique, we give the description of the spin Calogero-Sutherland Model (CSM) in terms of free bosons. This approach can be applicable for arbitrary coupling constant and provides the bosonized Hamiltonian of the spin CSM. The boson Fock space can be identified with the Hilbert space of the spin CSM in the large N limit. We show that the eigenstates corresponding to the Young diagram with a single row or column are represented by the vertex operators. We also derive a dual description of the Hamiltonian and comment on the construction of the general eigenstates. JSPS fellow
Using the collective field technique, we give the description of the spin Calogero - Sutherland model (CSM) in terms of free bosons. This approach can be applicable for arbitrary coupling constant and provides the bosonized Hamiltonian of the spin CSM. The boson Fock space can be identified with the Hilbert space of the spin CSM in the large-N limit. We show that the eigenstates corresponding to the Young diagram with a single row or column are represented by the vertex operators. We also derive a dual description of the Hamiltonian and comment on the construction of the general eigenstates.
A collective field method is extended to obtain all the explicit solutions of the generalized Calogero-Sutherland models that are characterized by the roots of all the classical groups, including the solutions corresponding to spinor representations for BNB_NBN​ and DND_NDN​ cases.