# An alternative - Hamiltonianversion of the Feynman path integral is often useful when one isdealing with non-Cartesian variables or with constrained systemsa. Show thatimx2dpexp2пhiрхSm(6)exp27Tihe2eh2mhb. Using result (a) show that the propagator may be written asdx n-1dpn-1dpod dpidax2Dj (xf,t;Xi, ti)= limn o27Th2тћ2πh(PI( -V(x)E2mexphl=1dtpHa,p)ED(t)Dp(t)] exp(7)h

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It's a quantum mechanics problem.

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Step 1

a)

Using the property of the infinite integral,

Step 2

The integral in the given problem can be solved using the above property and taking the limits of integration from negative infinity to positive infinity. The integral can be solved as,

Step 3

b)

The expression for the path integral in...

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