Generalized q-Deformed Symplectic sp(4) Algebra for Multi-shell Applications
| dc.creator | Sviratcheva, K. D. | |
| dc.creator | Georgieva, A. I. | |
| dc.creator | Draayer, J. P. | |
| dc.date | 2003-04-14 | |
| dc.date.accessioned | 2026-07-07T10:50:53Z | |
| dc.date.available | 2026-07-07T10:50:53Z | |
| dc.description | A multi-shell generalization of a fermion representation of the q-deformed compact symplectic sp_q(4) algebra is introduced. An analytic form for the action of two or more generators of the Sp_q(4) symmetry on the basis states is determined and the result used to derive formulae for the overlap between number preserving states as well as for matrix elements of a model Hamiltonian. A second-order operator in the generators of Sp_q(4) is identified that is diagonal in the basis set and that reduces to the Casimir invariant of the sp(4) algebra in the non-deformed limit of the theory. The results can be used in nuclear structure applications to calculate beta-decay transition probabilities and to provide for a description of pairing and higher-order interactions in systems with nucleons occupying more than a single-j orbital. | |
| dc.description | 10 pages | |
| dc.identifier | https://arxiv.org/abs/nucl-th/0304044 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/0304044 | |
| dc.identifier | J.Phys.A36:7579-7588,2003 | |
| dc.identifier | doi:10.1088/0305-4470/36/27/310 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/184680 | |
| dc.subject | Nuclear Theory | |
| dc.title | Generalized q-Deformed Symplectic sp(4) Algebra for Multi-shell Applications | |
| dc.type | text |