Mathematical Tools for Physics - Department of Physics - University

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7—Operators and Matrices 178

7.57The results in Eq. (7.36) is a rotation aboutsomeaxis. Where is it? Notice that a rotation about
an axis leaves the axis itself alone, so this is an eigenvector problem. If it leaves the vector alone, you
even know what the eigenvalue is, so you can easily find the vector. Repeat for the other rotation,


found in Eq. (7.37) Ans:~e 1 +~e 2 −~e 3


7.58 Find the eigenvectors and eigenvalues of the matrices in problem7.1.

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