Midterm1ReviewSp10_pretest

Midterm1ReviewSp10_pretest - Assume that a quantum...

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Midterm 1 Review Pretest Name: _______________________________________ CU ID: ____________________ The first two questions refer to the normalized wave function, Ψ x , t = 0 ( 29 , which is shown at the right. Q1: a) what, if anything, can we say about <x>? A. It must be zero B. It must be positive C. It depends on the size of the peaks D. It is not well defined because the wave function is not always positive b) Explain your answer: Q2: a) What, if anything, can we say about the standard deviation of x, σ x ? A. It is exactly zero B. It must be less than 1 C. It must be greater than 1 D. It is not well defined b) Explain your answer: ©2010 Steve Goldhaber and the Physics Education Group University of Colorado at Boulder
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Unformatted text preview: Assume that a quantum mechanical system is prepared so that its initial state is given by: i = ( x ,0) = 2 5 1-i 1 5 2 where 1 and 2 are two states which satisfy the time independent Schrdinger equation: H 1 = E 1 1 and H 2 = E 2 2 Q3: a) Does the probability density associated with this state depend on time? A. Definitely yes B. It depends (specify below) C. No, because the time exponentials cancel out D. No, because it only contains energy eigenstates E. No, some other reason b) If so, give the first such time. If not, explain why not 2010 Steve Goldhaber and the Physics Education Group University of Colorado at Boulder...
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This note was uploaded on 02/27/2012 for the course PHYSICS 3220 taught by Professor Stevepollock during the Fall '08 term at Colorado.

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Midterm1ReviewSp10_pretest - Assume that a quantum...

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