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Unformatted text preview: the formula (52) What if the wavefunction is a combination of eigenstates? Let us assume that we have a wavefunction which is a linear combination of two eigenstates of with eigenvalues and . (53) where and . Then what is the expectation value of A? (54) assuming that and are orthonormal (shortly we will show that eigenvectors of Hermitian operators are orthogonal). Thus the average value of A is a weighted average of eigenvalues, with the weights being the squares of the coefficients of the eigenvectors in the overall wavefunction....
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 Fall '10
 LauraChoudry
 Chemistry, Linear Algebra, Eigenvalue, eigenvector and eigenspace, Fundamental physics concepts, Orthogonal matrix, Eigenfunction

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