Fermions & bosons in a 1D infinite well
Simulation
Challenges
Spatial wave function
ψspace(x1, x2) = ɸ1(x1) ɸ2(x2)
No symmetry under exchange x1 ↔ x2
Spatial wave function ψspace
Indistinguishable particles with spin
Consider two non-interacting quantum particles in the same one-dimensional infinite square well. You can change the particle energies and the types of particles displayed. The contour graphs show maxima in red and minima in blue. What does it mean graphically to
exchange the two particles, and how do the ψspace and |ψspace|2 graphs behave under particle exchange for the various configurations? Then go on to the Challenges!
Energy controls
Esystem = 1E1 + 4E1 = 5E1
E1
E2 = 4E1
E3 = 9E1
E4 = 16E1