New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles

Details New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles

1998-03-24

arxiv.org/abs/cond-mat/9803283v1

Physics

Condensed Matter

Statistical Mechanics

12pages, REVTeX

Scientific paper

10.1016/S0375-9601(98)00769-5

We demonstrate an algebraic construction of all the simultaneous eigenfunctions of the conserved operators for distinguishable particles governed by the Calogero Hamiltonian. Our construction is completely parallel to the construction of the Fock space for decoupled quantum harmonic oscillators. The simultaneous eigenfunction does not coincide with the non-symmetric Hi-Jack polynomial, which shows that the conserved operators derived from the number operators of the decoupled quantum harmonic oscillators are algebraically different from the known ones derived by the Dunkl operator formulation.

Affiliated with

Also associated with

No associations

Rating

New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles 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 New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and New Non-Symmetric Orthogonal Basis for the Calogero Model with Distinguishable Particles will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-499926