For Researchers · Particle in a Box
Particle in a Box for an atom trap
Built for researchers prototyping or validating an idea. Prototype fast, reproduce exactly, and share a citable, interactive version of your model. Simulate an atom trap live below — adjust the inputs and watch it respond, right in your browser.
Particle in a BoxLive
quantized energy levels
Controls
Presets
Confine a quantum particle to a box and its energy can only take discrete values, E_n = n²h²/8mL². The wavefunctions are standing waves with n humps; squaring them gives the probability of finding the particle at each point. Narrowing the box pushes the energy levels dramatically higher — quantum confinement.
Data Inspector
Energy Eₙ3.384 eV
Level n3
Nodes2
Governing equation
Reading this result: Level n=3 carries 2 interior nodes, and because energy scales as n² it sits 9× above the ground state of this same well.
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Frequently asked questions
- Is this good for researchers?
- Yes — this version of "Particle in a Box for an atom trap" 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.