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Bohr-Sommerfeld quantization condition for Dirac states derived from an Ermakov-type invariant
KTH, School of Engineering Sciences (SCI), Mechanics.ORCID iD: 0000-0003-0149-341X
2013 (English)In: Journal of Mathematical Physics, ISSN 0022-2488, E-ISSN 1089-7658, Vol. 54, no 5, 052301- p.Article in journal (Refereed) Published
Abstract [en]

It is shown that solutions of the second-order decoupled radial Dirac equations satisfy Ermakov-type invariants. These invariants lead to amplitude-phase-type representations of the radial spinor solutions, with exact relations between their amplitudes and phases. Implications leading to a Bohr-Sommerfeld quantization condition for bound states, and a few particular atomic/ionic and nuclear/hadronic bound-state situations are discussed.

Place, publisher, year, edition, pages
American Institute of Physics (AIP), 2013. Vol. 54, no 5, 052301- p.
Keyword [en]
Dependent Harmonic-Oscillator, Amplitude-Phase Method, Lewis Type, Systems, Pseudospin, Nuclei
National Category
Physical Sciences Mathematics
URN: urn:nbn:se:kth:diva-124993DOI: 10.1063/1.4803030ISI: 000320673000021ScopusID: 2-s2.0-84878583026OAI: diva2:639004

QC 20130805

Available from: 2013-08-05 Created: 2013-08-02 Last updated: 2013-08-05Bibliographically approved

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