Bibliographic Details
| Title: |
Unified Wronskian formulation of inverse scattering with supersymmetric quantum mechanics. |
| Authors: |
Bozet, Q1,2 (AUTHOR) qbozet@uni-mainz.de, Sparenberg, J-M2 (AUTHOR) jmspar@ulb.ac.be |
| Source: |
Journal of Physics A: Mathematical & Theoretical. 2026, Vol. 59 Issue 9, p1-10. 10p. |
| Subjects: |
Inverse scattering transform, Supersymmetry, Bound states |
| Abstract: |
The Wronskian formulation of supersymmetric quantum mechanics (SUSYQM) confluent transformation pairs (Bermudez et al 2012 Phys. Lett. A 376 692–6; Schulze-Halberg 2013 Eur. Phys. J. Plus 128 1–17) is applied to the construction of phase-equivalent potentials with different bound spectra, replacing integral formulas. This allows to unify the two steps of a SUSYQM inversion scheme consisting in (i) the construction of a unique bound-state-less potential, possibly singular, from phase-shift inversion by a chain of non-confluent SUSYQM transformations, and (ii) the phase-equivalent addition of bound states by confluent SUSYQM pairs. Both steps are now combined in a single Wronskian formula, providing an elegant complete solution to the fixed-angular-momentum inversion problem. This formalism is applied to the inversion of 3 S 1 and 1 S 0 neutron-proton data and its numerical implementation is discussed. [ABSTRACT FROM AUTHOR] |
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| Database: |
Engineering Source |
