ps5 - Physics 212 Problem Set 5 Spring 2010 1. C-TDL...

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Unformatted text preview: Physics 212 Problem Set 5 Spring 2010 1. C-TDL Chapter 10 problem 2. 2. Numerical Effect of the Lowest Order Relativistic Correction on Hydrogen Energy Levels. Evaluate the unperturbed energy levels n = 1, 2, and 3 for the hydrogen atom. Sketch and label them. Now evaluate the change to these energy levels coming from the first relativistic correction H (1) =- 1 8 p 4 m 3 c 2 . Evaluate this in units of eV. Sketch the corrected energy levels for n = 1, 2, and 3, specifying any additional quantum numbers needed. 3. Consider a hydrogenic (one-electron) atom with principal quantum number n = 2. (a) If we neglect spin-orbit coupling, the states of this atom can be specified equally well either by the set of quantum numbers ( n m m s ) or by the set ( n j m j ). Write down the set of quantum numbers (2 m m s ) for each possible n = 2 eigenstate of this atom. (b) Write down all possible eigenstates of this atom, using the alternative description (2 j m j )....
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This document was uploaded on 10/20/2011.

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