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Two-parameter ladder operators for spherical Bessel functions |
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| Authors: | Jesús García-Ravelo Axel Schulze-Halberg José Juan Peña Gil Alfonso Queijeiro |
| Affiliation: | 1. Escuela Superior de Física y Matemáticas, Instituto Politécnico Nacional, Unidad Profesional Adolfo López Mateos, Zacatenco, Edificio 9, 07738 México D.F., Mexico;2. Universidad Autónoma Metropolitana - Azcapotzalco, CBI - Area de Física Atómica Molecular Aplicada, Av. San Pablo 180, Reynosa Azcapotzalco, 02200 México D.F., Mexico;3. Department of Mathematics and Actuarial Science, Indiana University Northwest, 3400 Broadway, Gary, IN 46408, USA |
| Abstract: | We construct ladder operators for spherical Bessel functions of arbitrary order. Our ladder operators act independently on two parameters, one of which is the order of the spherical Bessel function, while the other parameter is a multiplicative factor in the spherical Bessel function’s argument. |
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