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Physics 607 Exam 1 Please show all significant steps clearly in all problems.
 

Summary: Physics 607 Exam 1
Please show all significant steps clearly in all problems.
1. We treated a diatomic molecule as a rigid rotor, but it actually stretches as it rotates
faster. If the rotations are treated classically, we can write
= aL2
- bL4
+ ... (1)
where
a = h2
/2I (2)
and I is the unperturbed moment of inertia. If the rotations are treated quantum-mechanically,
this becomes
J = a ( + 1) - b 2
( + 1)2
+ ... (3)
where
= 0, 1, 2, ... (4)
is the angular mometum quantum number, with a degeneracy of (2 + 1) since
m = - , - + 1, ..., -1, 0, 1, ..., - 1, . (5)
You may treat the term involving b as very small (since enormous values of L are not regarded

  

Source: Allen, Roland E. - Department of Physics and Astronomy, Texas A&M University

 

Collections: Physics