Quantum Solitons in the CalogeroSutherland Model
Abstract
We show that the single quasiparticle Schrödinger equation for a certain form of onebody potential yields a stationary one soliton solution. The onebody potential is assumed to arise from the self interacting charge distribution with the singular kernel of the CalogeroSutherland model. The quasiparticle has negative or positive charge for negative or positive coupling constant of the interaction. The magnitude of the charge is unity only for the semion. It is also pointed out that for repulsive coupling, our equation is mathematically the same as the steadystate Smoluchowski equation of Dyson's Coulomb gas model.
 Publication:

arXiv eprints
 Pub Date:
 September 1995
 arXiv:
 arXiv:condmat/9509021
 Bibcode:
 1995cond.mat..9021B
 Keywords:

 Condensed Matter
 EPrint:
 8 pages