Running
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Quantum Parameters

Animation Speed 0.05
Coherent State (Ξ±) 1.0
Max Energy Level (n)
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Preset Quantum States

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State Amplitudes

πŸ’‘ Click and drag on the phasor clocks below to adjust amplitude and phase of each eigenstate!
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Visualization Mode

ψ(x,t) = Ξ£ cβ‚™Οˆβ‚™(x)e-iEβ‚™t/ℏ
Wave Function
Eβ‚™ = ℏω(n + Β½)
Energy Quantization
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How to Use

1
Use the Speed slider to control animation rate
2
Click phasor clocks at bottom to set amplitude/phase
3
Try preset states to see different quantum behaviors
4
Switch between Real/Imag and Density/Phase views
5
Observe how coherent states behave like classical oscillators!
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Live Quantum Data

State (n) Amplitude |cβ‚™|Β²
Total Probability 1.000
Expected Energy ⟨E⟩ 0.500 ℏω
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Key Concepts

Quantum Superposition: The wave function can be a combination of multiple energy eigenstates.

Energy Quantization: Energy levels are discrete: Eβ‚€ = ½ℏω, E₁ = 3/2ℏω, etc.

Coherent States: Special quantum states that most closely resemble classical oscillation.