Finite difference method for even potential in QM

[Nemanja989]

Hello to everyone,

while solving homework course Nanotechnology and Nanocomponents, I have encountered a problem in FD method that is applied in even potential. In my homework assignment it is explicitly said that it must be done only in x>0 part of the domain, where my problem starts with boundary conditions. Previously we have worked FD method in class but in general case, and we used conditions that wave function vanishes at the end points. The rest of the problem I have wrote and attached to this message as a pdf.

 

[member 553083]

I would be grateful if somebody could help me out with this problem and explain the steps that should be taken in order to solve it.Thank you very much in advance.