What Angular Momentum Quantum Number Ensures Bound States?

kcasali
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Homework Statement


Remembering that a bound state exists if the effective potential is negative, find an angular momentum quantum number l0 such taht for all l<l0 the states are bound.

The given potential is V=(C/r3)-(D/r2), where C and D are positive numbers.

Homework Equations





The Attempt at a Solution



I don't even know where to start. I've been looking online for a few hours, I can't find anything even remotely helpful. Would I have to find an equation relating the radius to the quantum number, or am I way off track?
 
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What's the effective potential equal to ? How does the radial equation look like ?
 
dextercioby said:
What's the effective potential equal to ? How does the radial equation look like ?

I don't know if you're asking me if he gave any other equations (no, he didn't), or telling me I need those equations, haha.
 
Nevermind, I found it. Thank you. :)
 
I think this PowerPoint might help you. Good luck!

physics.wku.edu/~womble/phys480/lecture7.ppt
 

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