Quantum Mechanics Solution Manual |
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© Leon van Dommelen |
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2.5.3 Solution eigvals-c
Question:
Show that and , with a constant, are eigenfunctions of the inversion operator , which turns any function into , and find the eigenvalues.
Answer:
By definition of , and then using [1, p. 43]:
So by definition, both are eigenfunctions, and with eigenvalues 1 and 1, respectively.