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Discontinuous radial potentials, bound states and Dirac equations
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2019 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 94, no 6, article id 065201Article in journal (Refereed) Published
Abstract [en]

Discontinuous, radial 'square-well' potentials of scalar and (time-component) vector types require special quantization conditions in Dirac equations transformed to second-order differential equations. Quantization conditions for positive energies are derived from first-order and second-order differential equations using amplitude-phase methods. Analytic condition for no orbital angular momentum of the large spinor component is obtained. Numerical applications relevant to independent-nucleon shell models illustrate level shifts due to shape (square-well/Woods-Saxon) differences.

Place, publisher, year, edition, pages
IOP PUBLISHING LTD , 2019. Vol. 94, no 6, article id 065201
Keywords [en]
Dirac equation, discontinuous potentials, Woods-Saxon potential, nuclear shell model, amplitude-phase method
National Category
Mechanical Engineering
Identifiers
URN: urn:nbn:se:kth:diva-249764DOI: 10.1088/1402-4896/ab08acISI: 000462893500001Scopus ID: 2-s2.0-85067212395OAI: oai:DiVA.org:kth-249764DiVA, id: diva2:1307712
Note

QC 20190429

Available from: 2019-04-29 Created: 2019-04-29 Last updated: 2020-03-09Bibliographically approved

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Thylwe, Karl-Erik

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