QuantumOrbital v1.5.0_stable

Schrodinger Wavefunction Solver

Quantum Theory

The Wavefunction

"In quantum mechanics, the wavefunction ψ describes the possible states of a system."

Unlike classical mechanics where an electron follows a fixed orbit like a planet, quantum mechanics treats electrons as probability clouds. The visualization represents |ψ|², which gives the probability density of finding an electron at a specific point in space.

The colors in this simulation represent the phase of the wavefunction:

  • Positive Phase (+)Click to filter
  • Negative Phase (-)Click to filter

Nodal Surfaces

Observe the gaps in the cloud where density drops to zero. These are called Nodes. The number of radial nodes is given by n - l - 1, while the number of angular nodes equals l. As energy increases (Higher n), the complexity and number of nodes increase.

Quantum Numbers Breakdown

n (Principal)
Energy levels, size of orbital. Higher n = larger cloud.
l (Azimuthal)
Shape of orbital (0: s, 1: p, 2: d, 3: f).
m (Magnetic)
Directional orientation in 3D space.

End of Summary

"God does not play dice with the universe"— Albert Einstein

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