par Del Sol Mesa, Antonio;Quesne, Christiane 
Référence Journal of Physics A: Mathematical and General, 35, 12, page (2857-2865)
Publication Publié, 2002-03
Référence Journal of Physics A: Mathematical and General, 35, 12, page (2857-2865)
Publication Publié, 2002-03
Article révisé par les pairs
| Résumé : | In a recent paper (Del Sol Mesa A and Quesne C 2000 J. Phys. A: Math. Gen. 33 4059), we started a systematic study of the connections among different factorization types, suggested by Infeld and Hull, and their consequences for the construction of algebras. We devised a general procedure for constructing satellite algebras for all the Hamiltonians admitting a type E factorization by using the relationship between type A and E factorizations. Here we complete our analysis by showing that for Hamiltonians admitting a type F factorization, a similar method, starting from either type B or type C factorization, leads to other types of algebras. We therefore conclude that the existence of satellite algebras is a characteristic property of type E factorizable Hamiltonians. Our results are illustrated with the detailed discussion of the Coulomb problem. |
