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consider a state function which is a superposition of two lowest eigenfunctions of the infinite square well, that is \(\psi=1/\sqrt{a}cos\pix/2a + 2/\sqrt{a}sin\psix/a\)
(a) Normalize this wave function in the space -a < x < a
(b) sketch the probabillity density function , p (x)
(c) include the appropriate time factor in each term of the wave function and finding the probability density function, p(x, t)
(d) Using the normalized wave function in (a), calculate the expectation value of the kinectic energy.
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