1998/09/28 by P. Maraner, Paolo Maraner, Maraner, P.
Computer Science · Engineering · Physics and Astronomy · #Elasticity and Wave Propagation #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Control Systems and Analysis #Quantum Physics (quant-ph) #hep-th #quant-ph
paper · pdf · doi:10.48550/arxiv.hep-th/9809189
8 pages, LaTex
arxiv created 1998/09/28 · openalex publication_date 1998/09/28 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The effective classical/quantum dynamics of a particle constrained on a closed line embedded in a higher dimensional configuration space is analyzed. By considering explicit examples it is shown how different reduction mechanisms produce unequivalent dynamical behaviors. The relation with a formal treatment of the constraint is discussed. While classically it is always possible to strictly enforce the constraint by setting to zero the energy stored in the motion normal to the constraint surface, the quantum description is far more sensitive to the reduction mechanism. Not only quantum dynamics is plagued by the usual ambiguities inherent to the quantization procedure, but also in some cases the constraint's equations do not contain all the necessary information to reconstruct the effective motion.