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(Solved): Complete the example done in class for the Feynman path integral derivation of the free particle pr ...
Complete the example done in class for the Feynman path integral derivation of the free particle propagator: U(xb?tb?;xa?ta?)=U(0tb?;0ta?)exp?i2?(tb??ta?)m(xb??xa?)2?? by explicilty computing the path integral using the discrete form ?dx1?dx2?…dxN?exp?i????n=1N+1?21?mx?n2?? and taking the limits N??,??0.
From the given data:In class, we derived the following expression for the free particle propagator using the path integral formulation of quantum mechanics: