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## Main Question or Discussion Point

For a two-electron atom, this book says that the overall wave function is either a) the symmetric space function times the antisymmetric spin function or b) the antisymmetric space function times the symmetric spin function. However, in another problem which involves two fermions in a harmonic oscillator, it says the overall wave function is a sum of the two aforementioned products (a + b). Why would the atom's wave function not be a + b instead of being just a or b?