A multispecies Calogero model
Copyright policy )A multispecies Calogero model
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.
16 pages, no figures, LateX, enlarged version that appeared in Phys.Lett.B
- University of Zagreb Croatia
- Ruđer Bošković Institute Croatia
Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Nuclear and High Energy Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Statistical Mechanics (cond-mat.stat-mech), Fock space analysis, FOS: Physical sciences, multispecies Calogero model, Mathematical Physics (math-ph), Hamiltonian eigenstates, Fock space, ladder operators, multispecies Calogero model; Fock space; ladder operators; exact eigenstates, High Energy Physics - Theory (hep-th), Dynamical symmetry, Many-body theory; quantum Hall effect, Calogero model; multispecies Calogero model, Multispecies Calogero model, Exactly Solvable and Integrable Systems (nlin.SI), Calogero model, Condensed Matter - Statistical Mechanics, Mathematical Physics
Operator algebra methods applied to problems in quantum theory, High Energy Physics - Theory, Nuclear and High Energy Physics, Nonlinear Sciences - Exactly Solvable and Integrable Systems, Statistical Mechanics (cond-mat.stat-mech), Fock space analysis, FOS: Physical sciences, multispecies Calogero model, Mathematical Physics (math-ph), Hamiltonian eigenstates, Fock space, ladder operators, multispecies Calogero model; Fock space; ladder operators; exact eigenstates, High Energy Physics - Theory (hep-th), Dynamical symmetry, Many-body theory; quantum Hall effect, Calogero model; multispecies Calogero model, Multispecies Calogero model, Exactly Solvable and Integrable Systems (nlin.SI), Calogero model, Condensed Matter - Statistical Mechanics, Mathematical Physics
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).21 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!