Exchange Antisymmetry

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Wavefunctions are antisymmetric with respect to electron exchange. This concept is crucial for understanding the Pauli exclusion principle, which says that two electrons can't share the same orbital (or set of quantum numbers).
  1. Physical Chemistry
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I was having trouble with exchange antisymmetry as described in Eisberg and Resnick's book, and your explanation clarified everything in a few minutes. Thank you, you're really in Feynman's Lectures on Physics territory for clarity.

JFBond-zsxf
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Hallo sir !
Unfortunately, in general, neither symmetric nor anti-symmetric wavefunctions can be said to be eigenfunctions of the Hamiltonian.
The wave function for an electron in a hydrogen-like atom with atomic number Z in the ground state
is
RZ(r) is an eigenfunction of HZ=1/(2m)*p^2-Ze^2/(4πε0r).
But RZ(r) is not an eigenfunction of HZ'=1/(2m)*p^2-Z'e^2/(4πε0r), Z'≠Z.
Let us consider the case where a hydrogen-type atom with atomic number Z and a hydrogen-type atom with atomic number Z' are sufficiently separated from each other. And each electron in each atom is in the ground state.
The anti-symmetric wave function
is not an eigenfunction of the Hamiltonian
It should be an ironclad rule of quantum mechanics that the wave function is an eigenfunction of the Hamiltonian.

岡安一壽-gy