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Midterm1 Solutions

# Midterm1 Solutions - Midterm 1 Solutions 1(a Answer iii and...

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Midterm 1 Solutions 2/26/2010 1. (a) Answer: iii and vii See problem set 3 question 2.b). Scoring: 7 x - 3 . 5 y , where x are the number of correct answers and y are the number of incorrect answers. Note that negative scores were treated as 0. (b) Answer: ii and v See problem set 3 question 2.b). Notice that multiplying a wave function by i does not change the wave function. Scoring: 7 x - 4 y (c) Answer: ii, iv, and vi Remember that for any operator we have, d h ˆ G i dt = 1 i ~ h [ ˆ G, H ] i This equation was given to you at the beginning of the exam. Of course, H commutes with itself and so its expectation value is time-independent. You can calculate the uncertainty in H which is K . Problem set 3 question 2.c) provides the final answer. Scoring: 6 x - 6 y (d) Answer: iii, iv, v, and vii | A i and | B i are orthonormal and the action of ˆ C on both states is given. Using this information you can show that iii and iv are true. You know the action of ˆ C and H on both | A i and | B i so you can create the

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Midterm1 Solutions - Midterm 1 Solutions 1(a Answer iii and...

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