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classes_winter09_113AID28_P_26_113A_W09 - mechanics(CM...

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Preview #26 (Chem113A W’09, due Fri. 3/06/09 at 12:05pm in class) Assigned reading: None 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] Orbital angular momentum QM originates from CM. So let’s see what CM says about orbital angular momentum. In classical
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Unformatted text preview: mechanics (CM), angular momentum L (a vector) is defined as L = r p where vector L = L x i + L y j + L z k , vector r = x i + y j + z k , and vector p = p x i + p y j + p z k . [1](a) Please show by algebra that the x, y, z components of L are: L x = yp z- zp y ; L y = zp x- xp z ; L z = xp y – yp x . [1](b) Commutator relations. Given the formula in [1](a) for L x , L y and L z and the commutator [ x , p x ] = i (in reduced units), please show by commutator algebra that [ L x , L y ] = i L z (in reduced units)....
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