Hi guys, I need help on interpreting this solution.(adsbygoogle = window.adsbygoogle || []).push({});

Let me have two wave functions:

[itex]\phi_1 = N_1(r) (x+iy)[/itex]

[itex]\phi_2 = N_2(r) (x-iy)[/itex]

If the angular momentum acts on both of them, the result will be:

[itex]L_z \phi_1 = \hbar \phi_1[/itex]

[itex]L_z \phi_2 = -\hbar \phi_2[/itex]

My concern is, [itex]\phi_1[/itex] and [itex]\phi_2[/itex] look really like the complex conjugate of each other, so why do they have different eigenvalue?

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# The angular momentum operator acting on a wave function

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