BOSON-FERMION MAPPINGS FOR ODD SYSTEMS FROM SUPERCOHERENT STATES

Authors
DOBACZEWSKI J SCHOLTZ FG GEYER HB
Citation
J. Dobaczewski et al., BOSON-FERMION MAPPINGS FOR ODD SYSTEMS FROM SUPERCOHERENT STATES, Physical review. C. Nuclear physics, 48(5), 1993, pp. 2313-2325
Citations number
24
Categorie Soggetti
Physics, Nuclear
Journal title
Physical review. C. Nuclear physics → ACNP
ISSN journal
05562813
Volume
48
Issue
5
Year of publication
1993
Pages
2313 - 2325
Database
ISI
SICI code
0556-2813(1993)48:5<2313:BMFOSF>2.0.ZU;2-Y
Abstract
We extend the formalism whereby boson mappings can be derived from gen eralized coherent states to boson-fermion mappings for systems with an odd number of fermions. This is accomplished by constructing supercoh erent states in terms of both complex and Grassmann variables. In addi tion to a known mapping for the full so(2N+1) algebra, we also uncover some other formal mappings, together with mappings relevant to collec tive subspaces.