On the theory of quantum interference between inelastic and elastic electron scattering events

Rumyantsev, V. V.; Orlenko, E. V.; Libenson, B. N.

doi:10.1134/1.558175

Cited by 3 publications

(7 citation statements)

References 38 publications

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“…Neglecting exchange effects, in the resulting expression (17), both braand ketvectors become non symmetric, and we obtain the well-known result obtained in [25][26][27]. In contrast to the usual weak localization, one of the crossed lines in the new type of weak localization corresponds to inelastic scattering, while the others correspond to elastic interaction with randomly distributed power centers.…”

Section: Probability Of Plasmon Emission With Atom Excitation and Ele...supporting

confidence: 77%

“…The set of ladder diagrams, correspondent to the terms contributed to the cross-section (17), are independent of the electron-scattering angle. The relation of the crossed diagram contributions and ladder diagrams determine a so-called coherency degree [25]: As usual, in the diagrams that match Equation ( 17), we will use the dotted line to connect two vertices belonging to the same atom. The lower parts of the diagrams correspond to the analytic expression, which is the complex conjugation of the expression equivalent to the upper parts.…”

Section: Probability Of Plasmon Emission With Atom Excitation and Ele...mentioning

confidence: 99%

Section: Probability Of Plasmon Emission With Atom Excitation and Ele...mentioning

confidence: 99%

“…The angular distribution of particles and radiation in the case of ordinary weak localization in a disordered medium is usually described using the maximum cross (or so-called "fan") diagrams, which are used to calculate the electron radiation cross-section. Regular weak localization, in particular, can be described by a simple graphical method [24,25], which gives an idea of this phenomenon and explains why the angle pi is specific for regular weak localization. This method takes into account that an electron with momentum k is scattered through two complementary series of intermediate scattering states…”

Section: Introductionmentioning

confidence: 99%

“…This is due to the fact that the complementary scattering processes have the same changes in momentum, both in a straight line and in the opposite sequence. An explanation of why the coherent enhancement of electron scattering in the inelastic scattering channel occurs at angles other than π is proposed in [25]. A simple kinematic model is used to determine the basic properties of weak localization of electrons in the inelastic scattering channel.…”

Section: Introductionmentioning

confidence: 99%

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Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

Orlenko

2020

Symmetry

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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.

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