Spherical well potential problem

[xinoki]

Homework Statement

particle in a spherical well potential where V(r)= -V0 for 0<r<a and infinite for r>a

Homework Equations

The Attempt at a Solution

can i simply solve the problem for V0 treating the region r>a as zero and then solve 0<r<a treating V0=0 with the infinite potential for r>a and then stitch them together to obtain the wave function and energy

 

[vela]

It seems a bit strange to set the potential to a non-zero value inside the well if the potential outside is infinite. I get the feeling something's getting lost in your paraphrasing of the problem. Can you state the problem as it was given to you?

 

[xinoki]

the problem was stated as above. find energy levels and radial wave function for the s states (l=0). i know how to solve each component individually (with V=-V0 or V= infinite). its the combination of the two that confuses me. I mentioned the above attempt because I've seen another solution where the solution was combined from a harmonic oscillator potential with the infinite potential well solution.

 

[vela]

To answer your original question, yes, that's how you'd solve this problem.