Question 7 A system consists of two non-interacting identical particles and is described by the spatial wave function 1
Posted: Thu Jun 09, 2022 3:14 pm
- Question 7 A System Consists Of Two Non Interacting Identical Particles And Is Described By The Spatial Wave Function 1 1 (61.53 KiB) Viewed 229 times
Question 7 A system consists of two non-interacting identical particles and is described by the spatial wave function 1 V(x₁, x₂) = (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 (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? E [4] [1]