Degeneracy structure of the calogero–sutherland model: an algebraic approach
TLDR
In this paper, the degeneracy structure of the eigenspace of the N-particle Calogero-Sutherland model is studied from an algebraic point of view, and suitable operators satisfying SU(2) algebras and acting on the degenerate eIGenspace are explicitly constructed for the twoparticle case and then appropriately generalized to the Nparticle model.Abstract:
The degeneracy structure of the eigenspace of the N-particle Calogero–Sutherland model is studied from an algebraic point of view. Suitable operators satisfying SU(2) algebras and acting on the degenerate eigenspace are explicitly constructed for the two-particle case and then appropriately generalized to the N-particle model. The raising and lowering operators of these algebras connect the states, in a subset of the degenerate eigenspace, with each other.read more
Citations
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Coherent states of nonlinear algebras: applications to quantum optics
TL;DR: In this article, a unified approach for finding coherent states (CSs) of polynomially deformed algebras such as the quadratic and Higgs was presented, which is relevant for various multiphoton processes in quantum optics.
Journal ArticleDOI
Bosonic realization of algebras in the Calogero model
Larisa Jonke,Stjepan Meljanac +1 more
TL;DR: In this article, an N-body Calogero model in the symmetric subspace of the positive definite Fock space has been studied and a new algebra of SN-symmetric operators represented on the Fock spaces has been constructed, and a natural orthogonal basis is found by mapping the algebra onto the Heisenberg algebra.
Journal ArticleDOI
On realizations of `nonlinear' Lie algebras by differential operators
TL;DR: In this article, the authors studied realizations of polynomial deformations of the -Lie algebra in terms of differential operators strongly related to bosonic operators and distinguish their finite and infinite-dimensional representations.
Journal ArticleDOI
Bosonic realization of algebras in the Calogero model
Larisa Jonke,Stjepan Meljanac +1 more
TL;DR: In this article, an N-body Calogero model was studied in the S_N-symmetric subspace of the positive definite Fock space, and a new algebra of S-N symmetric operators represented on the symmetric Fock spaces was constructed and a natural orthogonal basis was found by mapping the algebra onto the Heisenberg algebra.
Journal ArticleDOI
A Multispecies Calogero Model
TL;DR: In this paper, a multispecies one-dimensional Calogero model with two-and three-body interactions was studied and it was shown that the spectrum is linear in quantum numbers and the higher energy levels are degenerate.
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