2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/94270We examine two singular Lagrangian systems with constraints which apparently reduce the phase space to a 2-dimensional sphere and a 2-dimensional hyperboloid. Rigorous constraint analysis by Dirac's method, however, gives 2-dimensional open disc and an infinite plane with a hole in the centre respectively as the reduced phase spaces. Upon canonical quantisation the classical constraints show up as restrictions on the Hilbert space.3 pages, REVTEXQuantum PhysicsReduced phase space quantizationtext