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(Solved): need ans with in 45 min plz Question 7 A system consists of two non-interacting identical particl ...



Question 7
A system consists of two non-interacting identical particles and is
described by the spatial wave function
1
V(x?,

need ans with in 45 min plz

Question 7 A system consists of two non-interacting identical particles and is described by the spatial wave function 1 V(x?, x?) = (VA(1) VB (2) - UB (X1) VA (x2)), ?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 (?, 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? E [4] [1]


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