How does pressure balance work in the magnetosphere?

ergospherical
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Homework Statement
How does the radius of the magnetosphere of a neutron star, accreting from a binary companion, scale with the surface magnetic field ##B##, the radius ##R## and the accretion rate ##\dot{M}##?
Relevant Equations
Spin down rate ##\dot{\Omega} = -B^2 R^6 \Omega^3 / (I \mu_0 c^3)##
I'm not sure how to set up the pressure balance at the magnetosphere? Maybe some energy equation relating ##\frac{1}{2} \dot{M} v^2 \sim## magnetic energy density?
 
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This figure is from "Introduction to Quantum Mechanics" by Griffiths (3rd edition). It is available to download. It is from page 142. I am hoping the usual people on this site will give me a hand understanding what is going on in the figure. After the equation (4.50) it says "It is customary to introduce the principal quantum number, ##n##, which simply orders the allowed energies, starting with 1 for the ground state. (see the figure)" I still don't understand the figure :( Here is...
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