Can two electrons be in the spatial ground state of the same
hydrogen atom?
2
Can three?
3
Can three spinless bosons?
4
If there are three identical fermions in three differents states
, , and , how does the wave function look?
5
If there are three identical fermions in four differents states
, , , and , how many indeterminate
coefficients does the wave function have after the
antisymmetrization requirements have been enforced? (Hint: how many
Slater determinants can you write down?)