Coherent-state quantization of constrained fermion systems
نویسندگان
چکیده
منابع مشابه
Coherent-state quantization of constrained fermion systems
The quantization of systems with firstand second-class constraints within the coherentstate 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 explicated. Several examples with firstan...
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The coherent-state path-integral representation for the propagator of fermionic systems subjected to first-class constraints is constructed. As in the bosonic case the importance of path-integral measures for Lagrange multipliers is emphasized. One example is discussed in some detail.
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A careful reexamination of the quantization of systems with firstand second-class constraints from the point of view of coherent-state phase-space path integration reveals several significant distinctions from more conventional treatments. Most significantly, we emphasize the importance of using path-integral measures for Lagrange multipliers which ensure that the quantum system satisfies the q...
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We study special systems with infinitely many degrees of freedom with regard to dynamical evolution and fulfillment of constraint conditions. Attention is focused on establishing a meaningful functional framework, and for that purpose, coherent states and reproducing kernel techniques are heavily exploited. Several examples are given.
متن کامل0 Quantization of Constrained Systems ∗
The present article is primarily a review of the projection-operator approach to quantize systems with constraints. We study the quantization of systems with general firstand second-class constraints from the point of view of coherent-state, phase-space path integration, and show that all such cases may be treated, within the original classical phase space, by using suitable path-integral measu...
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ژورنال
عنوان ژورنال: The European Physical Journal C
سال: 1998
ISSN: 1434-6044
DOI: 10.1007/s100520050195