Invariant exchange perturbation theory for multicenter systems: Time-dependent perturbations

Orlenko, E. V.; Evstafev, Alexandr V.; Orlenko, F. E.

doi:10.1134/s106377611502017x

“…The differential cross section given by Eq. 47, becomes in the first approximation It has been previously reported that under similar conditions, but when an alpha-particle is colliding with a Lithium atom [26], the differential cross-section has a smooth appearance without ridges.…”

Section: (B) and (C)mentioning

confidence: 88%

“…The total cross section fi  is plotted in Fig. 5 and also summarized in Table 1, where the values of the cross section obtained in this paper are compared to those obtained from experimental [21,23,24] and theoretical publications [25,26].…”

Section: (B) and (C)mentioning

confidence: 99%

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

Orlenko

¹

,

Latychevskaia

²

,

Evstafev

³

et al. 2015

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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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“…5 and also summarized in Table 1, where the values of the cross section obtained in this paper are compared to those obtained from experimental [21,23,24] and theoretical publications [25,26].…”

Section: Scattering Of Proton By Lithium Atom With Electron Exchangementioning

confidence: 99%

“…48, where we used It has been previously reported that under similar conditions, but when an alpha-particle is colliding with a Lithium atom [26], the differential cross-section has a smooth appearance without ridges.…”

Section: Scattering Of Proton By Lithium Atom With Electron Exchangementioning

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)

Self Cite

0

View full text Add to dashboard Cite

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.

show abstract

Positron scattering by li atom with an electron capture

Orlenko

¹

,

Evstafev

²

2017

2017 Computing Conference

0

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Invariant exchange perturbation theory for multicenter systems: Time-dependent perturbations

Cited by 6 publications

References 16 publications

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

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

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

Positron scattering by li atom with an electron capture

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