Role of eigenvalue equation


Assignment:

1. Does the indeterminacy of quantum mechanics arise from our knowledge of the time-evolution of the wave function between measurements ( as described in Schrodinger's equation), or does it have another origin?

2. What are the role of eigenvalue equations in determining which energy values are possible in a bound system.

3. Are there any situations where quantum mechanics unambiguously predicts the result of an energy measurement with certainty?

4. How does the collapse of the wave function influence the result of an energy measurement taken immediately after another energy measurement?

5. What are the roles of the overlap and coefficient rules in predicting the probability of obtaining a given value when an energy measurement is made in a given state.

6. What is the role of Borns rule in predicting the probability of finding a particle within a given interval?

7. How does the collapse of the wave function influence the result of a position measurement taken immediately after another position measurement?

8. What types of predictions are possible with quantum mechanics?

9. Comment on the extent to which these predictions can be compared with experiment, for example, making repeated experiments.

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Physics: Role of eigenvalue equation
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