If you’re working in an orthonormal basis (as we always do), the hermitian conjugate of a linear transformation is represented by the hermitian conjugate of the corresponding matrix; for (using Equations A.50 and A.53), αˆTβ=a†Tb=T†a†b=ˆT†αβ. (A.98) So the terminology is consistent, and we can speak interchangeably in the language of transformations or of matrices. ˆ In quantum mechanics, a fundamental role is played by hermitian transformations T† = ˆT. The eigenvectors and eigenvalues of a hermitian transformation have three crucial properties: 1. The eigenvalues of a hermitian transformation are road to Dave by caffeine Greene too cee go to VA fyi few be TN ba no


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