A system consists of two non-interacting identical particles and is described by the spatial wave function 1 V(F1, F2) =

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A System Consists Of Two Non Interacting Identical Particles And Is Described By The Spatial Wave Function 1 V F1 F2 1 (70.52 KiB) Viewed 33 times

A system consists of two non-interacting identical particles and is described by the spatial wave function 1 V(F1, F2) = —⁄2 (VA(F1) VB (F2) — VB(T1) YA(12)), √2 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 V(x₁, x2) 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?