Algebraic mean field theory
| dc.creator | Dankova, Ts. | |
| dc.creator | Rosensteel, G. | |
| dc.date | 1999-09-29 | |
| dc.date.accessioned | 2026-07-07T05:43:19Z | |
| dc.date.available | 2026-07-07T05:43:19Z | |
| dc.description | Mean field theory has an unexpected group theoretic mathematical foundation. Instead of representation theory which applies to most group theoretic quantum models, Hartree-Fock and Hartree-Fock-Bogoliubov have been formulated in terms of coadjoint orbits for the groups U(n) and O(2n). The general theory of mean fields is formulated for any arbitrary Lie algebra {\textbf g} of fermion operators. The moment map provides the correspondence between the Hilbert space of microscopic wave functions and the dual space {\textbf g}$^\ast$ of densities. The coadjoint orbits of the group in the dual space are phase spaces on which time-dependent mean field theory is equivalent to a classical Hamiltonian dynamical system. Indeed it forms a finite-dimensional Lax system. The SU(3) mean field theory is constructed explicitly in the coadjoint orbit framework. | |
| dc.description | 9 pages | |
| dc.identifier | https://arxiv.org/abs/nucl-th/9909072 | |
| dc.identifier | http://arxiv.org/abs/nucl-th/9909072 | |
| dc.identifier | in Highlights of Modern Nuclear Structure: Proceedings of the 6th International Spring Seminar on Nuclear Physics, Ed. A. Covello, World-Scientific (1999) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/83264 | |
| dc.subject | Nuclear Theory | |
| dc.title | Algebraic mean field theory | |
| dc.type | text |