Physics Model

The Schrödinger equation is built in the FEM solver \[ H \phi = E \phi \] In the following form \[ - \frac{\hbar^2}{2m} \phi + q\cdot U \phi = E \phi \]

With a $q$ charged particle in a $U$ potential

Examples

1D Simulations

Parabolic potential

2D Simulations

Eigen functions in a cylinder

3D Simulations

Particle in a box

Particle in a sphere