classes_winter09_113AID28_P_20_113A_W09 - transition from a...

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Preview #20 (Chem113A W’09, due Fri. 2/20/09 at 12:05pm in class) Assigned reading: Engel 8.4 Attendance record : I am [ ] present at or [ ] absent from this class meeting (see date and time above). Name: ________________________ Forming study groups is permissible, but you must construct your solutions independently. By writing down my name, I confirm that I strictly obey the academic ethic code when doing this preview and my statement on attendance (above) is correct. Please write down the names of everyone who you worked with on this preview in the space above. [1] Selection rule for electric dipole transition in quantum SHO by Dirac algebra Selection rule is discussed in Engel’s 8.4: given enough energy (i.e., satisfies Bohr’s 1st condition), is the
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Unformatted text preview: transition from a specific initial state to a specific final state possible/allowed? Let’s use Dirac algebra to derive the selection rule for quantum SHO. Imagine an interaction relates to the operator x that transfers energy from the laser beam to the quantum SHO through the Stark effect. Please derive the selection rule for the quantum SHO subject to this excitation. That’s, please derive the condition(s) between i and j such that < i | x | j > is not equal to zero. Here |i> denotes the eigenstate of quantum SHO labeled by the quantum number i. (Hint: You can find the correct answer in the assigned reading. You may find the following formula helpful: )...
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