Homework12 - as on homework #11 problem 2). e) Write down...

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Physics 401 - Homework #12 1) (15 points) A hydrogen atom is in the following state at t = 0:  1 , 1 , 2 10 0 , 1 , 2 1 , 1 , 2 3 0 , 0 , 1 4 6 1 where m l n , , is an energy eigenstate. Calculate the following: a) Expectation value of energy. b) Expectation value of L 2 . c) Expectation value of Lz. d) Expectation value of Ly. (Hint: write the Ly operator in terms of the ladder operators,
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Unformatted text preview: as on homework #11 problem 2). e) Write down the fully time-dependent state in Dirac notation. 2) Calculate the expectation value of (r) (the radial coordinate) for the ground state of the hydrogen atom (three points)....
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This note was uploaded on 12/29/2011 for the course PHYSICS 401 taught by Professor Hall during the Fall '11 term at Maryland.

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