2015/07/13 by Alonso Contreras-Astorga, Axel Schulze-Halberg, Axel Schulze‐Halberg · 3 citations
Mathematics · Physics and Astronomy · #Algebra over a field #Computer science #Construct (python library) #Differential (mechanical device) #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Normalization (sociology) #Physics #Pure mathematics #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum chaos and dynamical systems #Quantum mechanics #Representation (politics) #Supersymmetry #math-ph #math.MP
paper · pdf · doi:10.1088/1751-8113/48/31/315202
published as Journal of Physics A: Mathematical and Theoretical 48 (2015) 315202
openalex publication_date 2015/07/13 · arxiv created 2015/07/14 · arxiv updated 2015/07/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
We construct a relationship between integral and differential representation of second-order Jordan chains. Conditions to obtain regular potentials through the confluent supersymmetry algorithm when working with the differential representation are obtained using this relationship. Furthermore, it is used to find normalization constants of wave functions of quantum systems that feature energy-dependent potentials. Additionally, this relationship is used to express certain integrals involving functions that are solution of Schrödinger equations through derivatives.