diagonalize operator A by matrix S

by Abrar Quadery
Tags: diagonalize, matrix, operator
Abrar Quadery
Abrar Quadery is offline
Sep20-10, 08:12 PM
P: 2
Suppose, i want to diagonalize operator A by matrix S (A'= S^\\dagger A S). Do i need to form S from "NORMALIZED" eigenvectors? I checked and found that even S formed from not-normalized eigenvectors works.
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Parlyne is offline
Sep20-10, 10:50 PM
P: 546
If S isn't normalized, you will get a diagonal matrix. However, the diagonal elements of the matrix will not be the eigenvalues of A.

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