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Quantum Mechanics

Schrödinger Equation (1D) Simulation

Wave-packet time evolution in a 1D potential landscape

Numerical solution of the time-dependent Schrodinger equation in dimensionless units using a finite-difference Hamiltonian and RK4 time integration.

What Is Schrödinger Equation (1D)?

Schrödinger Equation (1D) is a quantum mechanics law that describes wave-packet time evolution in a 1d potential landscape. This page visualizes the phenomenon with interactive controls so you can change parameters and observe how the model responds.

What To Observe

  • Watch how the visual pattern or system response changes as you adjust the controls for Schrödinger Equation (1D).
  • Relate each visual change to the core phenomenon shown here: wave-packet time evolution in a 1d potential landscape.
  • Use repeated runs with one parameter changed at a time to build intuition.

Related Simulations

Try These Experiments

  • Start with default settings, then change one slider at a time.
  • Record what increases, decreases, or becomes unstable as parameters vary.
  • Use screenshots or notes to compare patterns between runs.

Real-World Applications

  • Quantum Mechanics lessons and classroom demonstrations
  • Self-study and concept reinforcement
  • Interactive support for STEM presentations