Unified Wronskian formulation of inverse scattering with supersymmetric quantum mechanics.
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| Title: | Unified Wronskian formulation of inverse scattering with supersymmetric quantum mechanics. |
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| 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] |
| Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
| Database: | Engineering Source |
| FullText | Text: Availability: 0 |
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| Header | DbId: egs DbLabel: Engineering Source An: 192160360 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Unified Wronskian formulation of inverse scattering with supersymmetric quantum mechanics. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Bozet%2C+Q%22">Bozet, Q</searchLink><relatesTo>1,2</relatesTo> (AUTHOR)<i> qbozet@uni-mainz.de</i><br /><searchLink fieldCode="AR" term="%22Sparenberg%2C+J-M%22">Sparenberg, J-M</searchLink><relatesTo>2</relatesTo> (AUTHOR)<i> jmspar@ulb.ac.be</i> – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22Journal+of+Physics+A%3A+Mathematical+%26+Theoretical%22">Journal of Physics A: Mathematical & Theoretical</searchLink>. 2026, Vol. 59 Issue 9, p1-10. 10p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Inverse+scattering+transform%22">Inverse scattering transform</searchLink><br /><searchLink fieldCode="DE" term="%22Supersymmetry%22">Supersymmetry</searchLink><br /><searchLink fieldCode="DE" term="%22Bound+states%22">Bound states</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: 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] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of Journal of Physics A: Mathematical & Theoretical is the property of IOP Publishing and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1088/1751-8121/ae49c8 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 10 StartPage: 1 Subjects: – SubjectFull: Inverse scattering transform Type: general – SubjectFull: Supersymmetry Type: general – SubjectFull: Bound states Type: general Titles: – TitleFull: Unified Wronskian formulation of inverse scattering with supersymmetric quantum mechanics. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Bozet, Q – PersonEntity: Name: NameFull: Sparenberg, J-M IsPartOfRelationships: – BibEntity: Dates: – D: 06 M: 03 Text: 2026 Type: published Y: 2026 Identifiers: – Type: issn-print Value: 17518113 Numbering: – Type: volume Value: 59 – Type: issue Value: 9 Titles: – TitleFull: Journal of Physics A: Mathematical & Theoretical Type: main |
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