Quiz-6 - Quiz #6: Atomic Physics April 7, 2008 Name:...

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Quiz #6: Atomic Physics April 7, 2008 Name: _____SOLUTIONS____ Complete both of the following problems. Show all of your work for full credit. Problem 1 Some quantum system has an orbital angular momentum L characterized with the quantum number l = 1, and spin momentum S with the quantum number s = 3/2. Find all possible quantum numbers j for the total momentum J of this system and all possible magnetic quantum numbers. Sketch the energy diagram for this system: before spin-orbit splitting, after spin-orbit splitting, after additional application of external magnetic field. l =1, s =3/2 j = 1/2 j = 3/2 j = 5/2 5/2 m j Spin-orbit B 0 3/2 1/2 -1/2 -3/2 -5/2 3/2 1/2 -1/2 -3/2 1/2 -1/2 Problem 2 Given electron #1 in the state with s 1 = ½ and l 1 = 3 and electron #2 in the state with s 2 = ½ and l 2 = 0, find all possible quantum numbers j for the system containing these two electrons. Use any
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This note was uploaded on 04/22/2008 for the course PHYS 320 taught by Professor Baski during the Spring '04 term at VCU.

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Quiz-6 - Quiz #6: Atomic Physics April 7, 2008 Name:...

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