For a hydrogenic atom, determine if the px and py orbitals are eigenfunctions of the lz operator. If they are not eigenfunctions, construct a linear combination of these two functions that IS an eigenfunction of lz. SHOW FULL AND COMPLETE PROCEDURE IN A CLEAR AND ORDERED WAY. Use the expressions provided in the image

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For a hydrogenic atom, determine if the px and py orbitals are eigenfunctions of the lz operator. If they are not eigenfunctions, construct a linear combination of these two functions that IS an eigenfunction of lz. SHOW FULL AND COMPLETE PROCEDURE IN A CLEAR AND ORDERED WAY. Use the expressions provided in the image

p+1 = F(2)-¹/2r sin letio f(r)
Yp₂ = −(2)−¹/² (p+1 − P−1)
i2-1/2 (P+1+p-1)
Py
=
Transcribed Image Text:p+1 = F(2)-¹/2r sin letio f(r) Yp₂ = −(2)−¹/² (p+1 − P−1) i2-1/2 (P+1+p-1) Py =
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