Fermi heap and Fermi hole

The Fermi hole is a physical effect, which describes that two electrons with the same spin are never going to find the same place.

Because the total wave function must be antisymmetric ( Pauli principle ) and the spin part is symmetric here, the space part of the total wave function must be antisymmetric. However, considering the limit where same for both electron coordinates are used, the space portion dissipates and the total wave function at this point is zero. Magnetically, the parallel is the less favorable condition than the anti- parallel. By the appearance of the Fermi hole, the electrons go but out of the way and the repulsive Coulomb interaction is weakened. Coulomb effect is by far stronger than the magnetic effect.

History

In quantum chemistry one uses numerical calculations to (eg atoms with atomic number > 1, molecules) to describe many-electron systems. The Schrödinger equation is then no longer be solved analytically.

The best known method is the Hartree -Fock, also called "method of self-consistent fields." There is iteratively calculated the interaction of an electron with the particulate average E-field of all other electrons.

The biggest mistake of the Hartree - Fock method is that the so-called electron correlation is not considered. The gold question is: What happens when two electrons at the same time are in the same place?

Right here, the terms " Fermi hole" come (English Fermi hole) and " Fermi heap " (English Fermi heap ) to the game. The Fermi hole refers to the case where two electrons with the same spin meet. The probability that it will at the same time at the same place as 2 electron electron 1, is zero.