Semiclassical aspects and supersymmetry of bound Dirac states for central pseudo-scalar potentials
2011 (English)In: Physica Scripta, ISSN 0031-8949, E-ISSN 1402-4896, Vol. 84, no 2, 025006- p.Article in journal (Refereed) Published
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, 025006- p.
Bound state, Energy spectra, Potential Model, Quantum-mechanical theory, Single state, Supersymmetries
IdentifiersURN: urn:nbn:se:kth:diva-41302DOI: 10.1088/0031-8949/84/02/025006ISI: 000294727900006ScopusID: 2-s2.0-80051688523OAI: oai:DiVA.org:kth-41302DiVA: diva2:444054
QC 201109272011-09-272011-09-262011-09-27Bibliographically approved