Redundant poles of the S-matrix for the one-dimensional Morse potential

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 corres...

Full description

Saved in:
Bibliographic Details
Published in:European physical journal plus 2020-10, Vol.135 (10), p.822, Article 822
Main Authors: Gadella, M., Hernández-Ortega, A., Kuru, Ş., Negro, J.
Format: Article
Language:English
Subjects:
Applied and Technical Physics
Atomic
Complex Systems
Condensed Matter Physics
Dimensional analysis
Eigenvalues
Mathematical and Computational Physics
Molecular
Morse potential
Operators (mathematics)
Optical and Plasma Physics
Physics
Physics and Astronomy
Poles
Redundancy
Regular Article
S matrix theory
Theoretical
Wave functions
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:2190-5444
2190-5444
DOI:10.1140/epjp/s13360-020-00833-7