QM · Ch 5 · Two non-interacting fermions in 1D well (singlet)

Physics · Quantum Mechanics · Griffiths Ch 5

Problem

Two non-interacting identical spin-1/2 fermions sit in the 1D infinite square well of width

a

. They are prepared in the spin singlet

\chi_S = (|\!\uparrow\downarrow\rangle - |\!\downarrow\uparrow\rangle)/\sqrt{2}

. (a) What is the spatial part of the ground-state wave function? (b) What is the total ground-state energy?