Calculate the probablity density and current density of a wavefunction

anchal2147
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Homework Statement
Want to find the solution of part b,c and d
Relevant Equations
time evolution operator, momentum and position operator
i have use time evolution operator to get the wavefunction at any time "t" as Ψ(x,t) = U(t,t1) * Ψ(x,t1)
but i don't know how to calculate next part of the question
1665739995193.png
 
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Maybe it helps to enlarge your list of "relevant equations" by the probabilities asked for in (b) and for the probability density and current density in (c)...
 

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