I agree. I am working on a model where a joint WF with anti-symmetric joint spin part is desired.
I seem to have obtained a wave function with mixed antisymmetry, which exactly meets my expectations, but it cannot meet the conservation of angular momentum. I should have an argument to support...
I remarked "Something may be wrong with quantum theory". I meant our understanding of QM might have mistake. QM is correct, but our understanding of it is not always so.
Sorry, I made some mis-expression. I should mean "completely antisymmetric joint spin wave function of 4 or more electrons". May I understand it that there is no completely antisymmetric joint spin wave function of 4 or more electrons.
In some textbooks and articles, joint spin wave function of three and four electrons are provided. But I have not seen the joint spin wave function of three or more electrons multiplied by their space wave function. I doubt it can't be done at all.
But multi-electronic systems do exist in...