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GR8677 #56
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Problem
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Quantum Mechanics }Expectation Value
Recall the following result of the Born Assumption,
where the above yields the average value of Q---i.e., the expectation value.
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Alternate Solutions |
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Comments |
FortranMan
2008-10-27 14:34:50 | So when they say "corresponding to" they mean that Q is proportional to x, rather than say Q is proportional to some operation like  ?
a19grey2
2008-11-03 22:33:24 |
They don't mean proportional in any way. They mean that Q IS some operator like  .
Also, ETS is trying to trick you here, because when x is the position of the particle, then the operator Q = x. In this special case, the value they give IS the spatial overlap of Q with the wavefunction. This is only true though, when x is the position value and not in other, mor egeneral cases, as the problem wants us to consider.
Whereas, the equation given is ALWAYS the expected value of the observable quantity (C).
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