Homework Help is Here – Start Your Trial Now!
Science
Advanced Physics
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

icon
Related questions
Question

It's a quantum mechanics problem.

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
Transcribed Image Text: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
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 9 steps with 8 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer