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


Orlenko, E V; Latychevskaia, T; Evstafev, A V; Orlenko, F E (2015). Invariant time-dependent exchange perturbation theory and its application to the particles collision problem. Theoretical Chemistry Accounts, 134(5):online.

Abstract

We present the formalism of time-dependent exchange perturbation theory built to all orders of perturbation, for the arbitrary time dependency of perturbation. The theory takes into account the rearrangement of electrons among centers. 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 centers. 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.

Abstract

We present the formalism of time-dependent exchange perturbation theory built to all orders of perturbation, for the arbitrary time dependency of perturbation. The theory takes into account the rearrangement of electrons among centers. 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 centers. 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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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Physics Institute
Dewey Decimal Classification:530 Physics
Language:English
Date:2015
Deposited On:25 Jan 2016 14:24
Last Modified:12 Apr 2016 00:00
Publisher:Springer
ISSN:1432-881X
Additional Information:The final publication is available at Springer via http://dx.doi.org/10.1007/s00214-015-1646-2
Publisher DOI:https://doi.org/10.1007/s00214-015-1646-2

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