caa a22 4500 605488177 CHVBK 20210128105156.0 cr unu---uuuuu 210128e20150501xx s 000 0 eng 10.1007/s00214-015-1646-2 doi (NATIONALLICENCE)springer-10.1007/s00214-015-1646-2 Invariant time-dependent exchange perturbation theory and its application to the particles collision problem [Elektronische Daten] [E. Orlenko, T. Latychevskaia, A. Evstafev, F. Orlenko] 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. Springer-Verlag Berlin Heidelberg, 2015 Perturbation theory nationallicence Exchange interaction nationallicence Symmetrization nationallicence Time dependent nationallicence Collisions nationallicence Orlenko E. Theoretical Physics Department, Petersburg State Polytechnic University, Polytechnicheskaya, 29, 195251, St.-Petersburg, Russian Federation aut Latychevskaia T. Physics Institute, University of Zurich, Winterthurerstrasse 190, 8057, Zurich, Switzerland aut Evstafev A. Theoretical Physics Department, Petersburg State Polytechnic University, Polytechnicheskaya, 29, 195251, St.-Petersburg, Russian Federation aut Orlenko F. Theoretical Physics Department, Petersburg State Polytechnic University, Polytechnicheskaya, 29, 195251, St.-Petersburg, Russian Federation aut Theoretical Chemistry Accounts Springer Berlin Heidelberg 134/5(2015-05-01), 1-16 1432-881X 134:5<1 2015 134 214 https://doi.org/10.1007/s00214-015-1646-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s00214-015-1646-2 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Orlenko E. Theoretical Physics Department, Petersburg State Polytechnic University, Polytechnicheskaya, 29, 195251, St.-Petersburg, Russian Federation aut NATIONALLICENCE 700 1- Latychevskaia T. Physics Institute, University of Zurich, Winterthurerstrasse 190, 8057, Zurich, Switzerland aut NATIONALLICENCE 700 1- Evstafev A. Theoretical Physics Department, Petersburg State Polytechnic University, Polytechnicheskaya, 29, 195251, St.-Petersburg, Russian Federation aut NATIONALLICENCE 700 1- Orlenko F. Theoretical Physics Department, Petersburg State Polytechnic University, Polytechnicheskaya, 29, 195251, St.-Petersburg, Russian Federation aut NATIONALLICENCE 773 0- Theoretical Chemistry Accounts Springer Berlin Heidelberg 134/5(2015-05-01), 1-16 1432-881X 134:5<1 2015 134 214 SWISSBIB 355501554