Open AccessGeneralized deformed SU(2) algebras in Nuclear Physics
Author(s) -
Dennis Bonatsos,
C. Daskaloyannis,
P. Kolokotronis
Publication year - 2020
Publication title -
hnps advances in nuclear physics
Language(s) - English
Resource type - Journals
eISSN - 2654-0088
pISSN - 2654-007X
DOI - 10.12681/hnps.2880
Subject(s) - casimir effect , eigenvalues and eigenvectors , pure mathematics , basis (linear algebra) , action (physics) , algebra over a field , operator (biology) , physics , mathematical physics , casimir element , function (biology) , mathematics , quantum mechanics , algebra representation , cellular algebra , geometry , chemistry , biochemistry , repressor , evolutionary biology , biology , transcription factor , gene
A generalized deformed algebra SUφ(2), characterized by a structure function Φ. is obtained. The usual SU(2) and SUq(2) algebras correspond to specific choices of the structure function Φ. The action of the generators of the algebra on the relevant basis vectors, as well as the eigenvalues of the Casimir operator, are easily obtained. Possible applications in improving phenomenological nuclear models are discussed.