Question

1. A particle in the infinite square well has as its initial wave function an even mixture of the first two stationary states: (a) Normalize (ar. 0) (that is. find A VI(.r. l)12. Express the latter as a sinusoidal function of time. To simplify the Find W(r. 1) result, let w I/2ma (c) Compute I (d) Compute p (e) If you measured the energy of this particle, what values might you get, and what is the proba bility of gelting each of them? Find the expectation value of H. How does it compare with El and 12?

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hig ~.pc chon S na Symm(ふ1 al oJtu marent S.nttv ^ the wel. い. fnd九+ .n.c9^^ &, t..tuwd tonn nA on 21 어7,

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