Bound States in One-Dimensional Quantum N-Body Systems with Inverse Square Interaction

Details Bound States in One-Dimensional Quantum N-Body Systems with Inverse Square Interaction Bound States in One-Dimensional Quantum N-Body Systems with Inverse Square Interaction

2001-09-04

arxiv.org/abs/hep-th/0109022v2

Phys.Lett.A292:36-42,2001

Physics

High Energy Physics

High Energy Physics - Theory

10 pages, Latex file, Minor typos corrected, Added one reference

Scientific paper

10.1016/S0375-9601(01)00775-7

We investigate the existence of bound states in a one-dimensional quantum system of $N$ identical particles interacting with each other through an inverse square potential. This system is equivalent to the Calogero model without the confining term. The effective Hamiltonian of this system in the radial direction admits a one-parameter family of self-adjoint extensions and the negative energy bound states occur when most general boundary conditions are considered. We find that these bound states exist only when $N=3,4$ and for certain values of the system parameters. The effective Hamiltonian for the system is related to the Virasoro algebra and the bound state wavefunctions exhibit a scaling behaviour in the limit of small inter-particle separation.

Affiliated with

Also associated with

No associations

Rating

Bound States in One-Dimensional Quantum N-Body Systems with Inverse Square Interaction 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 Bound States in One-Dimensional Quantum N-Body Systems with Inverse Square Interaction, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bound States in One-Dimensional Quantum N-Body Systems with Inverse Square Interaction will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-270246