Abstract
Motivated by a recent paper of Louko and Molgado, we consider a simple system with a single classical constraint R(q) = 0. If ql denotes a generic solution to R(q) = 0, our examples include cases where R′(ql) ≠ 0 (regular constraint) and R′(ql) = 0 (irregular constraint) of varying order as well as the case where R(q) = 0 for an interval, such as a ⩽ q ⩽ 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 ℏ → 0. It is noteworthy that irregular constraints change the observable aspects of a theory as compared to strictly regular constraints.
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