Invariant exchange perturbation theory for multicenter systems: Timedependent perturbations
Abstract
A formalism of exchange perturbation theory (EPT) is developed for the case of interactions that explicitly depend on time. Corrections to the wave function obtained in any order of perturbation theory and represented in an invariant form include exchange contributions due to intercenter electron permutations in complex multicenter systems. For collisions of atomic systems with an arbitrary type of interaction, general expressions are obtained for the transfer (T) and scattering (S) matrices in which intercenter electron permutations between overlapping nonorthogonal states belonging to different centers (atoms) are consistently taken into account. The problem of collision of alpha particles with lithium atoms accompanied by the redistribution of electrons between centers is considered. The differential and total chargeexchange cross sections of lithium are calculated.
 Authors:
 St. Petersburg State Technical University (Russian Federation)
 Publication Date:
 OSTI Identifier:
 22472387
 Resource Type:
 Journal Article
 Resource Relation:
 Journal Name: Journal of Experimental and Theoretical Physics; Journal Volume: 120; Journal Issue: 2; Other Information: Copyright (c) 2015 Pleiades Publishing, Inc.; Country of input: International Atomic Energy Agency (IAEA)
 Country of Publication:
 United States
 Language:
 English
 Subject:
 74 ATOMIC AND MOLECULAR PHYSICS; ALPHA PARTICLES; ATOMS; CHARGE EXCHANGE; CORRECTIONS; CROSS SECTIONS; ELECTRONS; IONATOM COLLISIONS; LITHIUM; PERTURBATION THEORY; S MATRIX; SCATTERING; TIME DEPENDENCE; WAVE FUNCTIONS
Citation Formats
Orlenko, E. V., Email: eorlenko@mail.ru, Evstafev, A. V., and Orlenko, F. E. Invariant exchange perturbation theory for multicenter systems: Timedependent perturbations. United States: N. p., 2015.
Web. doi:10.1134/S106377611502017X.
Orlenko, E. V., Email: eorlenko@mail.ru, Evstafev, A. V., & Orlenko, F. E. Invariant exchange perturbation theory for multicenter systems: Timedependent perturbations. United States. doi:10.1134/S106377611502017X.
Orlenko, E. V., Email: eorlenko@mail.ru, Evstafev, A. V., and Orlenko, F. E. 2015.
"Invariant exchange perturbation theory for multicenter systems: Timedependent perturbations". United States.
doi:10.1134/S106377611502017X.
@article{osti_22472387,
title = {Invariant exchange perturbation theory for multicenter systems: Timedependent perturbations},
author = {Orlenko, E. V., Email: eorlenko@mail.ru and Evstafev, A. V. and Orlenko, F. E.},
abstractNote = {A formalism of exchange perturbation theory (EPT) is developed for the case of interactions that explicitly depend on time. Corrections to the wave function obtained in any order of perturbation theory and represented in an invariant form include exchange contributions due to intercenter electron permutations in complex multicenter systems. For collisions of atomic systems with an arbitrary type of interaction, general expressions are obtained for the transfer (T) and scattering (S) matrices in which intercenter electron permutations between overlapping nonorthogonal states belonging to different centers (atoms) are consistently taken into account. The problem of collision of alpha particles with lithium atoms accompanied by the redistribution of electrons between centers is considered. The differential and total chargeexchange cross sections of lithium are calculated.},
doi = {10.1134/S106377611502017X},
journal = {Journal of Experimental and Theoretical Physics},
number = 2,
volume = 120,
place = {United States},
year = 2015,
month = 2
}

The formalism of exchange perturbation theory is presented with regard to the general principles of constructing an antisymmetric vector with the use of the Young diagrams and tableaux in which the coordinate and spin parts are not separated. The form of the energy and wave function corrections coincides with earlier obtained expressions, which are reduced in the present paper to a simpler form of a symmetryadapted perturbation operator, which preserves all intercenter exchange contributions. The exchange perturbation theory (EPT) formalism itself is presented in the standard form of invariant perturbation theory that takes into account intercenter electron permutations between overlappingmore »

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