Is this good for hobbyists & makers?

Yes — this version of "Particle in a Box for a Josephson junction" 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.

For Hobbyists & Makers · Particle in a Box

Particle in a Box for a Josephson junction

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 Josephson junction 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.

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Frequently asked questions

Is this good for hobbyists & makers?: Yes — this version of "Particle in a Box for a Josephson junction" 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.