2023 Impact factor 4.2
Particles and Fields
Eur. Phys. J. C 4, 173-183
DOI 10.1007/s100529800735

Coherent-state quantization of constrained fermion systems

Georg Junker1 - John R. Klauder2

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 / Published online: 20 February 1998

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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