Difference between expactation value and eigen value
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The expectation value for an observable is equal to the average of all possible eigenvalues. The expectation value for an observable is a weighted average of the various eigenvalues.
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Notice that the expectation value of an eigenfunction state is simply the eigenvalue. If there are two different eigenfunctions with the same eigenvalue, then the eigenfunc- tions are said to be degenerate eigenfunctions
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