An alternative - Hamiltonian version of the Feynman path integral is often useful when one is dealing with non-Cartesian variables or with constrained systems a. Show that imx2 dp exp 2пh iрх S m (6) exp 27Tihe 2eh 2mh b. Using result (a) show that the propagator may be written as dx n-1dpn-1 dpod dpidax2 Dj (xf,t;Xi, ti) = lim n o 27Th 2тћ 2πh (PI( - V(x)E 2m exp h l=1 dtpHa,p) ED(t)Dp(t)] exp (7) h

An alternative - Hamiltonian version of the Feynman path integral is often useful when one is dealing with non-Cartesian variables or with constrained systems a. Show that imx2 dp exp 2пh iрх S m (6) exp 27Tihe 2eh 2mh b. Using result (a) show that the propagator may be written as dx n-1dpn-1 dpod dpidax2 Dj (xf,t;Xi, ti) = lim n o 27Th 2тћ 2πh (PI( - V(x)E 2m exp h l=1 dtpHa,p) ED(t)Dp(t)] exp (7) h