Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

Abstract

A non-Anderson weak localization of an electron beam scattered from disordered matter is considered with respect to the principle of electron indistinguishability. A weak localization of electrons of a new type is essentially associated with inelastic processing. The origin of inelasticity is not essential. We take into account the identity principle for electron beam and electrons of the atom of the scatterer with an open shell. In spite of isotropic scattering by each individual scatterer, the electron exchange contribution has a hidden parameters effect on the resulting angular dependence of the scattering cross-section. In this case, the electrons of the open shell of an atomic scatterer can be in the s-state, that is, the atomic shell remains spherically symmetric. The methods of an invariant time-dependent exchange perturbation theory and a Green functions with exchange were applied. An additional angular dependence of the scattering cross-section appears during the coherent scattering process. It is shown exactly for the helium scatterer that the role of exchange effects in the case of a singlet is negligible, while for the triplet state, it is decisive, especially for those values of the energy of incident electrons when de Broglie’s waves are commensurate with the atomic.

Special Issue: “Symmetries in Quantum Mechanics”

“…In their paper "Permutation Symmetry in Coherent Electron Scattering by Disordered Media," Professors Elena Orlenke and Fedor Orlenko compute the scattering cross section for inelastic scattering from atoms in disordered matter, taking into account the indistinguishability of electrons in the atomic core and in the incident beam [8]. As a consequence, different results are predicted for scattering from He triplet and singlet states.…”