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Archive for December, 2012

A particle of mass m is confined to a one-dimensional region 0≤x≤a.  At the beginning, the normalized wave function is

Ψ(x,t=0) = √(8/5a)  [ 1 + cos(πx/a)] sin(πx/a).

a) What is the wave function at a later time t=t0?.

b)  What is the average energy of the system at t=0 and t=t0?

c)  Find the probability that the particle is found in the left half of the box (0≤x≤a/2) at t=t0.

Solutions

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