Discover MakerZone

MATLAB and Simulink resources for Arduino, LEGO, and Raspberry Pi

Learn more

Discover what MATLAB® can do for your career.

Opportunities for recent engineering grads.

Apply Today

Thread Subject:
Time independent 2D Schrodinger equation for non separable potential

Subject: Time independent 2D Schrodinger equation for non separable potential

From: physicist2013

Date: 22 Mar, 2013 10:23:15

Message: 1 of 1

I would like to solve the time-independent 2D Schrodinger equation for a non separable potential using exact diagonalization. I understand I need to rewrite the problem so that the wavefunction which is a 2xN matrix is a 1xN² matrix so that the problem reduces to the diagonalization of a N²xN² hamiltonian. My question is : how should I use the meshgrid and del2 functions to define the laplacian part of the hamiltonian, and how should I write the matrix potential (say I have a function V(x, y) for the potential, how do I get the matrix potential in the rewritten problem ? And finally, how do get the eigenstates and eigenenergies of the initial problem ?

Thanks a lot

Tags for this Thread

What are tags?

A tag is like a keyword or category label associated with each thread. Tags make it easier for you to find threads of interest.

Anyone can tag a thread. Tags are public and visible to everyone.

Contact us