A system consists of two non-interacting identical particles and is described by the spatial wave function 1 V(x1, x2) (
Posted: Thu Jun 09, 2022 3:43 pm
A system consists of two non-interacting identical particles and is described by the spatial wave function 1 V(x1, x2) (VA(T1) VB(T2) — VB(T1) VA (T2)); where A and B are normalized energy eigenfunctions for a single particle in a well, with corresponding energy eigenvalues EA and EB, where EA # EB- (a) Show explicitly that the function (₁, 2) is antisymmetric with respect to interchange of particle labels. If the two particles are identical spin-fermions, what does this imply about the symmetry of the associated two-particle spin state? Explain your reasoning. (b) What can be said about the possible values of the quantum numbers S and Ms in this state?