Generalized rotational hamiltonians from nonlinear angular momentum algebras

Abstract

Higgs algebras are used to construct rotational Hamiltonians. The correspondence between the spectrum of a triaxial rotor and the spectrum of a cubic Higgs algebra is demonstrated. It is shown that a suitable choice of the parameters of the polynomial algebra allows for a precise identification of rotational properties. The harmonic limit is obtained by a contraction of the algebra, leading to a linear symmetry.

3 figures, 6 pages, 15 references. Phys. Rev. C (in press, ms CZ10038)

References in corpus (6)

• Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
• On the relation between polynomial deformations of sl(2,R) and quasi-exactly solvability
• Jordan-Schwinger realizations of three-dimensional polynomial algebras
• On the exact solutions of the Lipkin-Meshkov-Glick model
• Polynomial deformations of sl(2,R) in a three-dimensional invariant subspace of monomials
• Effective su_q(2) models and polynomial algebras for fermion-boson Hamiltonians

Cited by in corpus (3)

• Maximal superintegrability of the generalized Kepler--Coulomb system on N-dimensional curved spaces
• Polynomial algebras from Lie algebra reduction chains $\mathfrak{g}\supset {\mathfrak{g}}^{\prime }$
• Generalized quantum Zernike Hamiltonians: Polynomial Higgs-type algebras and algebraic derivation of the spectrum