Redundant poles of the S-matrix for the one-dimensional Morse potential
Dept. Física Teórica, Atómica y Optica and IMUVA, Universidad de Valladolid, 47011, Valladolid, Spain
2 Department of Physics, Faculty of Science, Ankara University, 06100, Ankara, Turkey
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Accepted: 5 October 2020
Published online: 13 October 2020
We analyze the structure of the scattering matrix, S(k), for the one-dimensional Morse potential. We show that, in addition to a finite number of bound state poles and an infinite number of antibound poles, there exist infinite redundant poles, on the positive imaginary axis, which do not correspond to either of the other types. We explain in detail the role of these redundant poles, in particular when they coincide with the bound poles. This can be solved analytically and exactly. In addition, we obtain wave functions for all these poles and ladder operators connecting them.
© Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature, 2020