spin, hemmer, eigenenergy, eigenstate, schrödinger equation, waves
Solving the time independent Schrödinger equation in one dimension using matrix diagonalisation for five different potentials.
animation, eigenenergy, eigenstate, schrödinger equation, tunneling, scattering, ehrenfest's theorem
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.