The perturbation of the quantum Calogero-Moser-Sutherland system and related results

Details The perturbation of the quantum Calogero-Moser-Sutherland system and related results The perturbation of the quantum Calogero-Moser-Sutherland system and related results

2000-09-29

arxiv.org/abs/math/0009244v2

Commun.Math.Phys. 227 (2002) 93-118

Mathematics

Quantum Algebra

Revised version, 35 pages

Scientific paper

10.1007/s002200200622

The Hamiltonian of the trigonometric Calogero-Sutherland model coincides with some limit of the Hamiltonian of the elliptic Calogero-Moser model. In other words the elliptic Hamiltonian is a perturbed operator of the trigonometric one. In this article we show the essential self-adjointness of the Hamiltonian of the elliptic Calogero-Moser model and the regularity (convergence) of the perturbation for the arbitrary root system. We also show the holomorphy of the joint eigenfunctions of the commuting Hamiltonians w.r.t the variables (x_1, >..., x_N) for the A_{N-1}-case. As a result, the algebraic calculation of the perturbation is justified.

Affiliated with

Also associated with

No associations

Rating

The perturbation of the quantum Calogero-Moser-Sutherland system and related results does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The perturbation of the quantum Calogero-Moser-Sutherland system and related results, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The perturbation of the quantum Calogero-Moser-Sutherland system and related results will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-343380