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Course: CHEM 6472, Fall 2008School: Georgia Tech
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6472: CHEM Quantum Chemistry and Molecular Spectroscopy Problem Set III Due Tuesday, September 17 1. For an arbitrary normalized state | and operator A, calculate the sum the complete basis {|ki }. What value is obtained if A is unitary? 2. Show by the use of bra-ket notation that Trace(A) = i i | |A|ki |2 ki over |A|ki (1) is independent of the choice of basis {|ki }. 3. Atkins/Friedman, problem 1.11....
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6472: CHEM Quantum Chemistry and Molecular Spectroscopy Problem Set III
Due Tuesday, September 17 1. For an arbitrary normalized state | and operator A, calculate the sum the complete basis {|ki }. What value is obtained if A is unitary? 2. Show by the use of bra-ket notation that Trace(A) =
i
i
| |A|ki |2 ki over
|A|ki
(1)
is independent of the choice of basis {|ki }. 3. Atkins/Friedman, problem 1.11. 4. Find the eigenvectors common to both matrices below and show that by switching to ...
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