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mmilan
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Please, can someone help me with this problem:
A particle is in the ground state of 1D infinite square well with walls at x=0 and x=L. At time t=0 the walls are suddenly removed so that the particle become free.
A) Find the probbability W(p)dp=|f(p)|^2dp that a measurement of the momemntum of the particle will produce a result between p and p+dp
B) Calculate the corresponding probabbility W(p)dp=|f(p)|^2dp for the case in which the particle is initially in the n-th energy eigenstate. Show that your result is in agreement with uncertaity principle and that for large n it is in accord with the correspodence principle
Thank you in advance
A particle is in the ground state of 1D infinite square well with walls at x=0 and x=L. At time t=0 the walls are suddenly removed so that the particle become free.
A) Find the probbability W(p)dp=|f(p)|^2dp that a measurement of the momemntum of the particle will produce a result between p and p+dp
B) Calculate the corresponding probabbility W(p)dp=|f(p)|^2dp for the case in which the particle is initially in the n-th energy eigenstate. Show that your result is in agreement with uncertaity principle and that for large n it is in accord with the correspodence principle
Thank you in advance