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Semiclassical aspects and supersymmetry of bound Dirac states for central pseudo-scalar potentials
Dalarna University, School of Technology and Business Studies, Physics.ORCID iD: 0000-0002-5610-8323
2011 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 84, no 2, article id 025006Article in journal (Refereed) Published
Abstract [en]

Relativistic bound states for a linear, radial pseudo-scalar potential model are discussed. The two radial Dirac components are known to have a close connection to partner states in super-symmetric quantum mechanical theory. The pseudo-scalar potential plays the role of the 'super potential'. Hence, the Dirac components satisfy decoupled Schrodinger-type equations with isospectral, so-called, 'partner potentials' except possibly for a single state; the ground state corresponding to one of the partner potentials. The energy spectrum of a confining linear radial potential is discussed in some detail. Accurate amplitude-phase computations and a novel semiclassical (phase-integral) approach are presented.

Place, publisher, year, edition, pages
2011. Vol. 84, no 2, article id 025006
National Category
Physical Sciences
Research subject
Research Profiles 2009-2020, Complex Systems – Microdata Analysis
Identifiers
URN: urn:nbn:se:du-10429DOI: 10.1088/0031-8949/84/02/025006ISI: 000294727900006Scopus ID: 2-s2.0-80051688523OAI: oai:DiVA.org:du-10429DiVA, id: diva2:542726
Available from: 2012-08-03 Created: 2012-08-03 Last updated: 2021-11-12Bibliographically approved

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Linnaeus, Staffan

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