Vanishing of electron pair recession at central impact

Abstract

Identity of electrons leads to description of their states by symmetrical or anti-symmetrical combination of free coherent states. Due to the coordinate uncertainty potential energy of the Coulomb repulsing is limited from above and so when energy of electrons is large enough, electrons go through each other, without noticing one another. We show existence of set of coherent states for which wave packages recession vanish - electrons remain close regardless of Coulomb repulsion.