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Lie algebraic structures in Pegg-Barnett quantization formulation
2005 (English)In: Acta Physica Polonica B, ISSN 0587-4254, E-ISSN 1509-5770, Vol. 36, no 10, 2847-2857 p.Article in journal (Refereed) Published
Abstract [en]

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.
Keyword [en]
JAYNES-CUMMINGS MODEL, MAJORANA NEUTRINOS, 4TH GENERATION, LEPTON, MASS, 4TH-GENERATION, PARTICLES, HIGGS, FIELD
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-38472ISI: 000232717500002Scopus ID: 2-s2.0-27544489154OAI: oai:DiVA.org:kth-38472DiVA: diva2:437176
Note
QC 20110826Available from: 2011-08-26 Created: 2011-08-26 Last updated: 2017-12-08Bibliographically approved

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