2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/100003We propose a new rigorous time-slicing construction of the phase space Path Integrals for propagators both in Quantum Mechanics and Quantum Field Theory for a fairly general class of quantum observables (e.g. the Schroedinger hamiltonians with smooth scalar potentials of any power growth). Moreover we allow time-dependent hamiltonians and a great variety of discretizations, in particular, the standard, Weyl, and normal ones.17 pagesFunctional AnalysisCondensed MatterHigh Energy Physics - PhenomenologyHigh Energy Physics - TheoryMathematical PhysicsAnalysis of PDEsQuantum Physics81C35;35S10text