For Researchers · Stern-Gerlach
Stern-Gerlach for a spin measurement
Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate a spin measurement live below — adjust the inputs and watch it respond, right in your browser.
Stern-Gerlach ExperimentLive
spin measurement & projection
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Presets
Atoms prepared spin-up are measured along an axis tilted by θ. Quantum mechanics says each atom randomly comes out up or down, with probability cos²(θ/2) for up — never a fraction. At 90° it is a perfect coin flip; at 180° it always flips. The running tally converges to the Born-rule probability.
Data Inspector
P(up) theory0.750
Measured up0.0%
Atoms1
Governing equation
Reading this result: Tilted by 60°, the analyzer still favors up: theory predicts P(up) = cos²(θ/2) ≈ 0.75, and the tally converges there.
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Frequently asked questions
- Is this good for researchers?
- Yes — this version of "Stern-Gerlach for a spin measurement" is framed for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.