EXACTLY SOLVABLE FERMION-BOSON MAPPING REPRESENTATIONS

Authors
CIVITARESE O REBOIRO M
Citation
O. Civitarese et M. Reboiro, EXACTLY SOLVABLE FERMION-BOSON MAPPING REPRESENTATIONS, Physical review. C. Nuclear physics, 57(6), 1998, pp. 3055-3061
Citations number
23
Categorie Soggetti
Physics, Nuclear
Journal title
Physical review. C. Nuclear physics → ACNP
ISSN journal
05562813
Volume
57
Issue
6
Year of publication
1998
Pages
3055 - 3061
Database
ISI
SICI code
0556-2813(1998)57:6<3055:ESFMR>2.0.ZU;2-8
Abstract
The Holstein-Primakoff boson mapping technique is applied to transform Hamiltonians defined in terms of the generators of the SU(2) and Sp(4 ) groups. These solvable models consist of a pair of fermions which in teract with hard bosons. It is shown that the mapping to ideal bosons preserves the algebra and that exact matrix elements of the original f ermionic Hamiltonian can be reconstructed from the bosonic representat ion.