Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

• Published in: Symmetry (Basel) Vol. 12; no. 12; p. 1971
• Main Authors: Orlenko, Elena V., Orlenko, Fedor E.
• Format: Journal Article
• Language: English
• Published: MDPI AG 01-12-2020
• Subjects: exchange contribution; identity principle; inelastic coherent scattering; new type weak localization
• ISSN: 2073-8994; 2073-8994
• DOI: 10.3390/sym12121971

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.