LQ26 - Name:__________________________________________

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Unformatted text preview: Name:__________________________________________ Date:__________________________ PHYS 360 Lecture Question #26 You earn 1 point for answering the questions. Write in ink. If you use pencil, do not erase anything. If there are erasures, you get zero points. Question 4: (5 points) The wave functions for the hydrogen atom are: ψ nlm ⎛ 2 ⎞ ( n − l − 1) ! − r / na ⎛ 2r ⎞ 2 l +1 m =⎜ ⎟ e ⎜ na ⎟ ⎡ Ln−l −1 ( 2r / na ) ⎤ Yl (θ , φ ) ⎦ ⎝ na ⎠ 2 n[( n + l ) !]3 ⎝ ⎠⎣ 3 l [ ] [ ] [ ] [ ] A. These go to zero for r → ∞ and for r → 0 , necessary for normalization. B. These go to zero for r → ∞ and for r → 0 , except for the ground state. C. There are (infinitely) many wave functions that do not go to zero as r → 0 . D. Coulomb repulsion ensures the wave function is zero at the origin. ...
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This note was uploaded on 04/23/2011 for the course PHYS 360 taught by Professor Durbin,stephen during the Spring '11 term at Purdue.

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