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.