這雖然是普化考題 不過PO在這裡應該比較好吧XDDD Consider the 1D problem where the two electrons are in an infinite potential well 0≦x≦L. (a) Suppose that one electron is in the orbital Ψ1(x) = √(2/L)sin(πx/L), and another one is in the orbital Ψ3(x) = √(2/L)sin(3πx/L).Write down the two states with the correct exchange symmetry where the two electrons have the opposite ms. (b) What are the probability densites for these two states where the two electrons happen to be at the same point x = L/2？ 我的想法是 因為有anti-symmetry 所以 Ψ(+,-)可以等於Ψ1(x)Ψ3(y)+Ψ1(y)Ψ3(x)= √(2/L)sin(πx/L)√(2/L)sin(3πy/L)+√(2/L)sin(πy/L)√(2/L)sin(3πx/L) 請問以上是對的嗎?? 依此方法應該可以湊出另一解吧?? 第二題是x=y=L/2帶入再平方對嗎?? 謝謝各位回答 --

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