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oai:uvadoc.uva.es:10324/659772026-03-20T08:22:41Zcom_10324_1159com_10324_931com_10324_894col_10324_1310

San Millán Carpintero, Carlos Gadella Urquiza, Manuel Kuru, Şengül Negro Vadillo, Francisco Javier 2024-02-08T10:08:36Z 2024-02-08T10:08:36Z 2023 The European Physical Journal Plus, 2023, vol. 138, n. 9 https://uvadoc.uva.es/handle/10324/65977 10.1140/epjp/s13360-023-04338-x 9 The European Physical Journal Plus 138 2190-5444 Producción Científica Among the list of one-dimensional solvable Hamiltonians, we find the Hamiltonian with the Rosen–Morse II potential. The first objective is to analyse the scattering matrix corresponding to this potential. We show that it includes a series of poles corresponding to the types of redundant poles or anti-bound poles. In some cases, there are even bound states and this depends on the values of given parameters. Then, we perform different supersymmetric transformations on the original Hamiltonian using either the ground state (for those situations where there are bound states) wave functions, or other solutions that come from anti-bound states or redundant states. We study the properties of these transformations. Ministerio de Ciencia e Innovación with funding from the European Union NexGenerationEU (PRTRC17.I1) Ministerio de Ciencia e Innovación project QCAYLE (PID2020-113406GB-I00) Publicación en abierto financiada por el Consorcio de Bibliotecas Universitarias de Castilla y León (BUCLE), con cargo al Programa Operativo 2014ES16RFOP009 FEDER 2014-2020 DE CASTILLA Y LEÓN, Actuación:20007-CL - Apoyo Consorcio BUCLE application/pdf eng Springer info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/4.0/ © 2023 The Author(s) Atribución 4.0 Internacional Hamiltonians S-matrix poles 22 Física SUSY partners and S-matrix poles of the one-dimensional Rosen–Morse II potential info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://link.springer.com/article/10.1140/epjp/s13360-023-04338-x SI