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• W3100657671 abstract "Recently, we introduced a new class of symmetry algebras, called satellite algebras, which connect with one another wavefunctions belonging to different potentials of a given family, and corresponding to different energy eigenvalues. Here the role of the factorization method in the construction of such algebras is investigated. A general procedure for determining an so(2,2) or so(2,1) satellite algebra for all the Hamiltonians that admit a type E factorization is proposed. Such a procedure is based on the known relationship between type A and E factorizations, combined with an algebraization similar to that used in the construction of potential algebras. It is illustrated with examples of the generalized Morse potential, the Rosen-Morse potential and the Kepler problem in a space of constant negative curvature, and, in each case, the conserved quantity is identified. It should be stressed that the method proposed is fairly general since the other factorization types may be considered as limiting cases of type A or E factorizations." @default.
• W3100657671 created "2020-11-23" @default.
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• W3100657671 date "2000-05-24" @default.
• W3100657671 modified "2023-10-11" @default.
• W3100657671 title "Connection between type A and E factorizations and construction of satellite algebras" @default.
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• W3100657671 doi "https://doi.org/10.1088/0305-4470/33/22/309" @default.
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