Next: 8.1.4 Eigenvalues of Hermitean
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Hermitean operators are those where the outcome of any measurement is
always real, as they should be (complex position?). This means that both its
eigenvalues are real, and that the average outcome of any experiment is real.
The mathematical definition of a Hermitean operator can be given as
 (x)  (x) dx =    (x)![$\displaystyle \left.\vphantom{\hat O \psi_1(x)}\right]^{*}$](img227.gif) (x)dx. |
(8.4) |
Quiz show that
and
(in 1 dimension) are Hermitean.