Pl. Consider a free particle initially with a well defined momentum po, whose wave function is well approximated by a pl

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Pl Consider A Free Particle Initially With A Well Defined Momentum Po Whose Wave Function Is Well Approximated By A Pl 1 (35.89 KiB) Viewed 54 times

Pl. Consider a free particle initially with a well defined momentum po, whose wave function is well approximated by a plane wave. At t=0, the particle is the localized in a region -a/25x5a/2, so that is wav function is: a a ={ 23x52 otherwise A iPox/6 (x) 0, (a) Find the normalization constant A. (b) Find the momentum space wave function (Px). = P2. Given that f(x) = sinºx , find: a) f(x) 8(x)dx b) Stof(x) 8'(x)dx c) *** f(x) 8(x)dx d) (4x) +00 +00 .+00 f(x)(x)dx = f0) | xf(x)8(x)dx = 0 - .+00 [ f(= f(x)8'(x)dx = f'(0) - 8(ax) = -8(x). = -DO (1