Fermions & bosons in a 1D infinite well

Simulation

Challenges

Spatial wave function

ψspace(x1, x2) = ψn(x1) ψm(x2)

No symmetry under exchange x1 ↔ x2

▲

Spatial probability density

| ψ(x1, x2) |2

Display controls

Choose your two-particle wave function:

Indistinguishable
fermions

Indistinguishable
bosons

Choose exchange symmetry of the spatial and

spin parts:

ψtot

=

ψspace

×

ψspin

anti-
symmetric

symmetric

anti-
symmetric

symmetric

The text on start-up appears here.

Energy controls

System energy: ... E1

energy levels in the 1D infinite well

E1

E2 = 4E1

E3 = 9E1

E4 = 16E1

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