How does the potential for Quantum Mechanics differ between two scenarios?

[ynuo]

How does this potential:

V(x)={Inf for x<0, bx for 0<x<a, Inf for x>a}

differ from:

V(x)={Inf for x<0, bx for x>0}

with regards to Schrödinger's equation, wave functions, and the energy states.

P.S. the tex graphics are not showing when I try to post my question using tex macros. This is why I resorted to plain ascii.

 

[dextercioby]

Do you know how to treat an infinite potential within the context of 1-dim SE ?

 

[ynuo]

This is the part that I have trouble with. I know that if I had a constant
potential or any other type of potential, then a substitution in Schrödinger's
equation will be required. From there I will have to solve a DE. But in
the case of infinite potential I am not sure.

 

[Dick]

Saying 'infinite potential' specifies a boundary condition for the DE. Guess which one?

 

[ynuo]

I think I got it. Thanks.