A multispecies Calogero model

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

Rate now

  [ 0.00 ] – not rated yet Voters 0   Comments 0

Details

16 pages, no figures, LateX, enlarged version that appeared in Phys.Lett.B

Scientific paper

10.1016/j.physletb.2003.08.029

We study a multispecies one-dimensional Calogero model with two- and three-body interactions. Using an algebraic approach (Fock space analysis), we construct ladder operators and find infinitely many, but not all, exact eigenstates of the model Hamiltonian. Besides the ground state energy, we deduce energies of the excited states. It turns out that the spectrum is linear in quantum numbers and that the higher-energy levels are degenerate. The dynamical symmetry responsible for degeneracy is SU(2). We also find the universal critical point at which the model exhibits singular behaviour. Finally, we make contact with some special cases mentioned in the literature.

No associations

LandOfFree

Say what you really think

Search LandOfFree.com for scientists and scientific papers. Rate them and share your experience with other people.

Rating

A multispecies Calogero model 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 A multispecies Calogero model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A multispecies Calogero model will most certainly appreciate the feedback.

Rate now

     

Profile ID: LFWR-SCP-O-381955

  Search
All data on this website is collected from public sources. Our data reflects the most accurate information available at the time of publication.