# Total angular momentum

1. Aug 9, 2010

### acusanelli

1. The problem statement, all variables and given/known data

a) Identify the different total angular momentum states possible for the case l = 3, s = ½.

b) What is the minimum angle the angular momentum vector may make with the z-axis in the case of i) l = 3 and ii) l = 1?

c) A hydrogen atom in its ground state is subjected to an external magnetic field of 1.0 T. Find the difference in energy between the spin-up and spin-down states.

d) A hydrogen atom is subjected to a magnetic field B strong enough to completely overwhelm the spin-orbit coupling. Into how many levels would the 2p level split? What would be the spacing between these levels?

3. The attempt at a solution

dont know how to set up this problem but i know the answer to c is ΔU = 1.16 X 10-4 eV. Please help me set up this problem so that I can solve it

2. Aug 11, 2010

### nickjer

Well for (a) there is a method for adding angular momentum. I suggest you skim your book and notes for this. We can't really just give you the answer. Look for keywords like "addition of angular momentum".

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