The hermitian conjugate (or adjoint) of an operator is the operator such that
[3.20]
(A hermitian operator, then, is equal to its hermitian conjugate: .)
(a) Find the hermitian conjugates of x, i, and d/dx.
(b) Construct the hermitian conjugate of the harmonic oscillator raising operator, a+ (Equation 2.47).
(c) Show that .
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