Question 7 A system consists of two non-interacting identical particles and is described by the spatial wave function V(

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Question 7 A System Consists Of Two Non Interacting Identical Particles And Is Described By The Spatial Wave Function V 1 (87.46 KiB) Viewed 313 times

Question 7 A system consists of two non-interacting identical particles and is described by the spatial wave function V(x1, x2) 17/12 (VA (1) VB (x2) - VB(x1) VA (x2)), where A and B are normalized energy eigenfunctions for a single particle in a well, with corresponding energy eigenvalues EA and EB, where EAEB. (a) Show explicitly that the function (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? =