Discover Eigenfunctions & Eigenvalues in Triangular Quantum Well

[Dirac62]

Hello all,
I need to understand how to find eigenfunctions and eigenvalues in a state of Triangular quantum well,
It would consist of two triangle.
Tnx a lot.

 

[MisterX]

You might want to look up Airy Functions.

 

[Dirac62]

You might want to look up Airy Functions.

how can I make a relation between it and triangular well plus Schrödinger eq. in order to find eigenfunctions?

 

[Orodruin]

how can I make a relation between it and triangular well plus Schrödinger eq. in order to find eigenfunctions?

This is described on the Wikipedia page (you may need to rescale x and y to get to the same differential equation though).

 

[Dirac62]

Thanks a lot.