What Angular Momentum Quantum Number Ensures Bound States?

[kcasali]

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?

 

[dextercioby]

What's the effective potential equal to ? How does the radial equation look like ?

 

[kcasali]

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.

 

[kcasali]

Nevermind, I found it. Thank you. :)

 

[astrophile87]

I think this PowerPoint might help you. Good luck!

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