For Hobbyists & Makers · Quantum Harmonic Oscillator
Quantum Harmonic Oscillator for a Cooper pair
Built for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker. Simulate a Cooper pair live below — adjust the inputs and watch it respond, right in your browser.
Quantum Harmonic OscillatorLive
evenly-spaced energy ladder
Controls
Presets
The quantum harmonic oscillator — a particle in a parabolic well — has energy levels evenly spaced by ħω, starting at a nonzero zero-point energy of ½ħω. Its wavefunctions are Hermite polynomials times a Gaussian. It models molecular vibrations, phonons, and quantum fields, making it the most important solvable system in physics.
Data Inspector
Energy3.5 ħω
Level n3
Zero-point½ ħω
Governing equation
Reading this result: State n=3 sits at 3.5 ħω with 3 nodes; levels stay evenly spaced by exactly ħω all the way up the ladder.
Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.
More with Quantum Harmonic Oscillator
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Frequently asked questions
- Is this good for hobbyists & makers?
- Yes — this version of "Quantum Harmonic Oscillator for a Cooper pair" is framed for hobbyists & makers exploring it for fun. Play with real physics and math, no license and no setup — just open and tinker.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.