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Title: 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.

Authors:
;  [1];  [2];  [2];  [3]
  1. Departamento de Fisica, Universidad de Burgos, Pza. Misael Ban(tilde sign)uelos, E-09001 Burgos (Spain)
  2. Department of Physics, University of La Plata, C.C. 67 1900, La Plata (Argentina)
  3. (1836) Lavallol (Argentina)
Publication Date:
OSTI Identifier:
20995209
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. C, Nuclear Physics; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevC.75.044316; (c) 2007 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ALGEBRA; ANGULAR MOMENTUM; HAMILTONIANS; HIGGS BOSONS; HIGGS MODEL; NONLINEAR PROBLEMS; POLYNOMIALS; SPECTRA

Citation Formats

Ballesteros, A., Herranz, F. J., Civitarese, O., Reboiro, M., and Faculty of Engineering, University of Lomas de Zamora C. C. Km 2. Generalized rotational Hamiltonians from nonlinear angular momentum algebras. United States: N. p., 2007. Web. doi:10.1103/PHYSREVC.75.044316.
Ballesteros, A., Herranz, F. J., Civitarese, O., Reboiro, M., & Faculty of Engineering, University of Lomas de Zamora C. C. Km 2. Generalized rotational Hamiltonians from nonlinear angular momentum algebras. United States. doi:10.1103/PHYSREVC.75.044316.
Ballesteros, A., Herranz, F. J., Civitarese, O., Reboiro, M., and Faculty of Engineering, University of Lomas de Zamora C. C. Km 2. Sun . "Generalized rotational Hamiltonians from nonlinear angular momentum algebras". United States. doi:10.1103/PHYSREVC.75.044316.
@article{osti_20995209,
title = {Generalized rotational Hamiltonians from nonlinear angular momentum algebras},
author = {Ballesteros, A. and Herranz, F. J. and Civitarese, O. and Reboiro, M. and Faculty of Engineering, University of Lomas de Zamora C. C. Km 2},
abstractNote = {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.},
doi = {10.1103/PHYSREVC.75.044316},
journal = {Physical Review. C, Nuclear Physics},
number = 4,
volume = 75,
place = {United States},
year = {Sun Apr 15 00:00:00 EDT 2007},
month = {Sun Apr 15 00:00:00 EDT 2007}
}