2D Particle in a Box
0|ψ|²Max
Quantum States
ny
5
4
3
2
1
1
2
3
4
5
nxClick to toggle states. Fill shows phase evolution.
About 2D Particle in a Box
This visualization shows a quantum particle confined to a two-dimensional square box with infinite potential walls. The system has eigenstates characterized by two quantum numbers (nx, ny), corresponding to the number of nodes in each dimension.
The energy of each state is , meaning higher quantum numbers have higher energies. Each quantum state evolves in time with a phase factor , with faster rotation for higher energy states.
Key features to observe:
- Probability densities show characteristic nodal patterns based on quantum numbers
- Superposition of states creates interference patterns that evolve in time
- States with different energies evolve at different rates, creating complex dynamics
- The phasor grid shows the phase evolution of each active quantum state
Tip: Try activating multiple states with different quantum numbers to see interference effects and observe how the pattern evolves over time!
Active States: (1,1)
- State (nx=1, ny=1): E = 2