# 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:

- Departamento de Fisica, Universidad de Burgos, Pza. Misael Ban(tilde sign)uelos, E-09001 Burgos (Spain)
- Department of Physics, University of La Plata, C.C. 67 1900, La Plata (Argentina)
- (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}

}

Other availability

Save to My Library

You must Sign In or Create an Account in order to save documents to your library.