For K-12 Students · Particle in a Box
Particle in a Box for a Zeeman splitting
Built for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework. Simulate a Zeeman splitting live below — adjust the inputs and watch it respond, right in your browser.
Particle in a BoxLive
quantized energy levels
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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 k-12 students?
- Yes — this version of "Particle in a Box for a Zeeman splitting" is framed for k-12 students learning it in middle or high school. Watch the idea come alive with plain-language steps and everyday examples — perfect for projects and homework.
- Do I need to install anything?
- No. It runs in any modern browser, free, with no account required.