Coherent State |α⟩ in a Harmonic Oscillator
This interactive simulator explores Coherent State |α⟩ in a Harmonic Oscillator in Chemistry. Animated Gaussian wavefunction of a coherent state |α⟩ in a 1-D harmonic well: rigid σ = 1/√2 packet whose centroid traces the classical orbit ⟨x⟩(t) = √2|α|cos(ωt − φ_α). Side-by-side phase space, |ψ(x,t)|², and ⟨x⟩(t) trace. Use the controls to change the scenario; watch the visualization and any graphs or readouts to connect the model with lectures, labs, and homework.
Who it's for: Best once you already know the basic definitions and want to build intuition. Typical context: Chemistry.
Key terms
- coherent
- state
- harmonic
- oscillator
- coherent state oscillator
- chemistry
How it works
A coherent state |α⟩ of the quantum harmonic oscillator: a minimum-uncertainty Gaussian whose centroid follows the classical orbit ⟨x⟩(t) = √2|α| cos(ωt − φ_α). Watch the wavefunction in real space, the rotating point in phase space, and the ⟨x⟩(t) trace simultaneously.
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