Unformatted text preview: . Check that the matrix you constructed satis±es all the properties of density matrices. d) Compute the average e) Repeat parts (a) and (d) for the operator 2. a) (4.2.2) Show that for a real wave function , the expectation value of momentum vanishes, that is: . (Hint: show that the probabilities for the momenta are equal.) Generalize this result to the case where is real and c an arbitrary (real or complex) constant. b) (4.2.3) Show that if has mean momentum , then has mean momentum ....
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- Fall '09
- Work, Probability theory, Hilbert space, expectation value, possible outcomes, real wave function