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The European Physical Journal C
ISSN: 1434-6044 (printed version)
ISSN: 1434-6052 (electronic version)
Abstract Volume 4 Issue 1 (1998) pp 173-183
DOI 10.1007/s100529800735
theoretical physics:
Coherent-state quantization of constrained fermion systems
Georg Junker (1), John R. Klauder (2)
(1) Institut für Theoretische Physik, Universität Erlangen-Nürnberg, Staudtstr. 7, D-91058 Erlangen, Germany (e-mail: junker@theorie1.physik.uni-erlangen.de)
(2) Departments of Physics and Mathematics, University of Florida, Gainesville, FL-32611, USA (e-mail: klauder@phys.ufl.edu)
Received: 28 May 1997 / Revised version: 23 July 1997
Abstract. The quantization of systems with first- and second-class constraints within the coherent-state path-integral approach is extended to quantum systems with fermionic degrees of freedom. As in the bosonic case the importance of path-integral measures for Lagrange multipliers, which in this case are in general expected to be elements of a Grassmann algebra, is emphasized. Several examples with first- and second-class constraints are discussed.
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Online publication: June 10, 1998
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