**Alternative method for determining the Feynman propagator of a non-relativistsic quantum
mechanical problem**

**Abstract:**

A direct procedure for determining the propagator associated with a quantum mechanical problem was given by the
Path Integration Procedure of Feynman. The Green function, which is the Fourier Transform with respect to the time variable
of the propagator, can be derived later. In our approach, with the help of a Laplace transform, a direct way to get the
energy dependent Green
function is presented, and the propagator can be obtained later with an inverse Laplace transform. The method is
illustrated through simple one dimensional examples and for time independent potentials, though it can be generalized to
the derivation of more complicated propagators.