Lie algebraic structures in Pegg-Barnett quantization formulation
2005 (English)In: Acta Physica Polonica B, ISSN 0587-4254, Vol. 36, no 10, 2847-2857 p.Article in journal (Refereed) Published
The oscillator algebra of Pegg-Barnett (P-B) oscillator with a finite-dimensional number-state space is considered. It is found that such a finite-dimensional oscillator possesses an su(n) Lie algebraic structure. A so-called supersymmetric P-B oscillator is suggested, and some related topics (such as the algebraic structure and the occupation number operator of the supersymmetric P-B oscillator) are briefly discussed. In addition, as one of the applications of the P-B quantization, a potential formula for the masses of charged leptons, which agrees reasonably well with the experimental values, is constructed based on the concept of supersymmetric P-B oscillator.
Place, publisher, year, edition, pages
2005. Vol. 36, no 10, 2847-2857 p.
JAYNES-CUMMINGS MODEL, MAJORANA NEUTRINOS, 4TH GENERATION, LEPTON, MASS, 4TH-GENERATION, PARTICLES, HIGGS, FIELD
IdentifiersURN: urn:nbn:se:kth:diva-38472ISI: 000232717500002ScopusID: 2-s2.0-27544489154OAI: oai:DiVA.org:kth-38472DiVA: diva2:437176
QC 201108262011-08-262011-08-262011-08-26Bibliographically approved