```
Calzada, J. A., Negro, J., E-mail: jnegro@fta.uva.es, and Olmo, M. A. del.
```*Dynamical symmetries for superintegrable quantum systems*. United States: N. p., 2007.
Web. doi:10.1134/S1063778807030088.

```
Calzada, J. A., Negro, J., E-mail: jnegro@fta.uva.es, & Olmo, M. A. del.
```*Dynamical symmetries for superintegrable quantum systems*. United States. doi:10.1134/S1063778807030088.

```
Calzada, J. A., Negro, J., E-mail: jnegro@fta.uva.es, and Olmo, M. A. del. Thu .
"Dynamical symmetries for superintegrable quantum systems". United States.
doi:10.1134/S1063778807030088.
```

```
@article{osti_21075922,
```

title = {Dynamical symmetries for superintegrable quantum systems},

author = {Calzada, J. A. and Negro, J., E-mail: jnegro@fta.uva.es and Olmo, M. A. del},

abstractNote = {We study the dynamical symmetries of a class of two-dimensional superintegrable systems on a 2-sphere, obtained by a procedure based on the Marsden-Weinstein reduction, by considering its shape-invariant intertwining operators. These are obtained by generalizing the techniques of factorization of one-dimensional systems. We firstly obtain a pair of noncommuting Lie algebras su(2) that originate the algebra so(4). By considering three spherical coordinate systems, we get the algebra u(3) that can be enlarged by 'reflexions' to so(6). The bounded eigenstates of the Hamiltonian hierarchies are associated to the irreducible unitary representations of these dynamical algebras.},

doi = {10.1134/S1063778807030088},

journal = {Physics of Atomic Nuclei},

number = 3,

volume = 70,

place = {United States},

year = {Thu Mar 15 00:00:00 EDT 2007},

month = {Thu Mar 15 00:00:00 EDT 2007}

}