Nature of coherent enhancement of inelastic electron scattering from disordered media

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

doi:10.1007/s002570050334

Cited by 9 publications

(8 citation statements)

References 40 publications

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“…It was shown in [24][25][26] that the angular dependence characteristic of a new weak localization arises due to the term in the integrand, which describes the contribution of the interference of two electron waves propagating along the same path in opposite directions:…”

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

confidence: 99%

“…For more details, [24,25], where it is explained why the ang1es typical of the new type of weak localization differ from π, and by using the simple kinematic approach, these angles can be estimated very accurately.…”

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%

“…Despite the obtained interesting exchange effect in a new type of weak localization for hydrogen scatterers, there was no systematic method allowing the principle of indistinguishability and permutation symmetry to be taken into account when describing scattering processes in the general case. The exchange effect considered in [24] is a good example of the importance of developing a general formalism that makes it possible to take into account the permutation symmetry of a many-electron system in the scattering problem in general and for weak localization, in particular.…”

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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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%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Permutation Symmetry in Coherent Electrons Scattering by Disordered Media

Orlenko

2020

Symmetry

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“…As a consequence, the method is effective when applied to simple systems. This explains why every given problem of a scattering event is solved by applying an ad hoc approach, as for example shown in works [5][6][7]. In the text-book by Davydov [2], one finds a detailed discussion problem of particles collision summarized by the conclusion that a general theoretical approach to address collision problems is required.…”

Section: Introductionmentioning

confidence: 99%

Invariant time-dependent exchange perturbation theory and its application to the particles collision problem

Orlenko¹,

Latychevskaia²,

Evstafev³

et al. 2015

9th Congress on Electronic Structure: Principles and Applications (ESPA 2014)

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We present the formalism of Time-dependent Exchange Perturbation Theory (TDEPT) built to all orders of perturbation, for the arbitrary time dependency of perturbation. The theory takes into account the rearrangement of electrons among centres. We show how the formalism can be reduced to the standard form of invariant perturbation theory by "switching off" the re-arrangement of electrons among centres. The elements of the scattering S-matrix and transitions T-matrix and the formula for the electron scattering differential cross section are derived. The application of the theory to scattering and collision problems is discussed. As an example, we apply the theory to proton scattering on a Lithium atom, calculating the differential and total cross-sections.

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