348-problem28 - x and ˆ p in terms of the lowering and...

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Chem. 540 Instructor: Nancy Makri PROBLEM 28 Calculate the expectation values of the operators ˆ x , 2 ˆ x , ˆ p and 2 ˆ p for the n th eigenstate of a harmonic oscillator. You can get the answer with very little work if you express ˆ
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Unformatted text preview: x and ˆ p in terms of the lowering and raising operators. How are the expectation values of 2 ˆ x and 2 ˆ p (with respect to the same eigenstate) related?...
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This note was uploaded on 02/08/2012 for the course CHEM 540 taught by Professor Mccall during the Fall '08 term at University of Illinois, Urbana Champaign.

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