Boson-fermion realization of Lie algebras and dynamical supersymmetry in fermion systems
作者:
Hendrik B. Geyer,
Petr Navra´til,
Jacek Dobaczewski,
期刊:
AIP Conference Proceedings
(AIP Available online 1900)
卷期:
Volume 545,
issue 1
页码: 190-196
ISSN:0094-243X
年代: 1900
DOI:10.1063/1.1337728
出版商: AIP
数据来源: AIP
摘要:
Recent experimental results by Metz, Jolie and collaborators have led to renewed interest in the notion of dynamical supersymmetry in fermion many-body systems. By considering the general problem of constructing a boson-fermion realization for Lie algebras with generators expressed in terms of fermion and bifermion operators, also when favored pairs dictate the structure of collective bosons, we demonstrate that dynamical “supersymmetry without bosons” can indeed emerge in a fermion systemwithout any Pauli Violations. Our construction of the general realization utilizes the identification of a physical subspace and allows one to identify the images of single particle transfer operators uniquely, unlike the situation in phenomenological applications of dynamical supersymmetry. ©2000 American Institute of Physics.
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