2012spring_chem455_midterm1_solved

4 expectation value 15 points determine the general

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Unformatted text preview: 4. Expectation value 15 points Determine the general expression for the expectation value of the square of the momentum, 〈 box energy eigenfunction ( ). The long tedious way: 〈 〉 ∫ ( )( )( ) ∫ [( ( 〉 〈〉 () ∫ ) ) The quick way: 〈 () () ∫ ( ) 〉, for a 1D 5. Boltzmann 15 points Consider a quantum system with only three energy levels. The two lower levels are degenerate with energy, and the third is 4 · 10-22 J higher in energy. At thermal equilibrium at 300 K, how many particles out of one million are in...
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This note was uploaded on 12/04/2013 for the course CHEMISTRY 455 taught by Professor Reinhardt during the Fall '09 term at University of Washington.

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