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## Homework Statement

Given

[tex]

\Psi (t) = \frac{1}{\sqrt{2}}\begin{pmatrix}

b_{1}exp(\frac{-i(E_{0}+V)t}{\hbar})+b_{2}exp(\frac{-i(E_{0}-V)t}{\hbar})\\

b_{1}exp(\frac{-i(E_{0}+V)t}{\hbar})-b_{2}exp(\frac{-i(E_{0}-V)t}{\hbar})

\end{pmatrix}[/tex]

Set b

_{1}= b

_{2}= 1/√2 and demonstrate the oscillatory behaviour of the particle between the two minima. How long does it take the particle to completely move from one minimum to the other?

## Homework Equations

Possible differentiation of a matrix (?)

## The Attempt at a Solution

I have no reference for this question so am really unsure what it is asking, perhaps someone could point me in the right direction?

p.s. this will likely be the last question I ask before the exams and would like to say a massive thank you to everyone on here that has helped with some of the questions I've posted it's made a big difference to my understanding of many concepts and I would have been at a loss otherwise!

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