Do I need to install anything?

No. It runs in any modern browser, free, with no account required.

For Engineers · Particle in a Box

Particle in a Box for a spin chain

Built for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed. Simulate a spin chain live below — adjust the inputs and watch it respond, right in your browser.

Particle in a BoxLive

quantized energy levels

Controls

Presets

Quantum number n

Well width L (nm)

Show probability density

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.

▶ Run in Python

Data Inspector

Energy Eₙ3.384 eV

Level n3

Nodes2

Governing equation

E_{3} = \frac{3 ^{2} h ^{2}}{8 m L ^{2}} = 3.384 eV, ψ_{3} = \frac{2}{L} sin \frac{3 π x}{L}, L = 1 nm

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.

Runs locally in your browser — free forever. Scale to the cloud when reality gets heavy.

or unlock everything with Pro →

Also for:Students Researchers Educators Hobbyists & Makers K-12 Students First Responders General version →

More with Particle in a Box

Particle in a Box for a hydrogen atom Particle in a Box for a quantum well Particle in a Box for a qubit Particle in a Box for the double-slit experiment Particle in a Box for a particle in a box Particle in a Box for a tunneling electron Particle in a Box for a spin measurement Particle in a Box for a laser cavity

Frequently asked questions

Is this good for engineers?: Yes — this version of "Particle in a Box for a spin chain" is framed for engineers using it for real design work. Go from concept to a running model in the browser, then scale to the cloud when needed.
Do I need to install anything?: No. It runs in any modern browser, free, with no account required.