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29 March 2024
 
  » arxiv » gr-qc/0602114

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Highly Irregular Quantum Constraints
John R. Klauder ; J. Scott Little ;
Date 27 Feb 2006
AbstractMotivated by a recent paper of Louko and Molgado, we consider a simple system with a single classical constraint R(q)=0. If q_l denotes a generic solution to R(q)=0, our examples include cases where R’(q_l) e 0 (regular constraint) and R’(q_l)=0 (irregular constraint) of varying order as well as the case where R(q)=0 for an interval, such as a leq q leq b. Quantization of irregular constraints is normally not considered; however, using the projection operator formalism we provide a satisfactory quantization which reduces to the constrained classical system when hbar o 0. It is noteworthy that irregular constraints change the observable aspects of a theory as compared to strictly regular constraints.
Source arXiv, gr-qc/0602114
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