eigenenergy, eigenstate, schrödinger equation, waves, spin, hemmer

Solving the time independent Schrödinger equation in one dimension using matrix diagonalisation for five different potentials.

eigenenergy, eigenstate, schrödinger equation, tunneling, scattering, ehrenfest's theorem, animation

The Time-Dependent Schrödinger equation is solved by expressing the solution as a linear combination of (stationary) solutions of the Time-Independent Schrödinger equation.

eigenenergy, forward shooting, eigenstate, schrödinger equation

Using a forward-shooting method to determine the eigenenergies and eigenfunctions of an asymmetric potential in one dimension.

eigenenergy, forward shooting, eigenstate

Calculating the eigenenergies of the lowest states for a one-dimensional double-well potential.

eigenenergy, harmonic oscillator, forward shooting, eigenstate

Using the method of forward shooting to determine numerically the eigenenergies of the quantum harmonic oscillator in one dimension.