QED theory of multiphoton transitions in atoms and ions

Zalialiutdinov, T.; Labzowsky, L. N.; Plunien, G.

doi:10.1016/j.physrep.2018.02.003

Cited by 34 publications

(37 citation statements)

References 145 publications

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“…For an accurate description of NR corrections to the atomic transition frequencies, it is natural to employ the QED theory of atomic processes developed in particular in [17,18]. The resonant scattering of two photons corresponds to the case when the sum of frequencies of incident photons are equal to the difference of atomic level energies ω = E n − E i for the particular n state.…”

Section: Qed Theory Of Resonant Two-photon Scattering On Atomic Electronmentioning

confidence: 99%

“…According to the resonant approximation, [17,18] the only one term for the chosen resonant n level can be retained in the sum over intermediate states in the scattering amplitude.…”

Section: Qed Theory Of Resonant Two-photon Scattering On Atomic Electronmentioning

confidence: 99%

“…We start from the S-matrix element describing the scattering of two photons on the atomic electron with consequent emission of one photon [18]…”

Section: Qed Theory Of Resonant Two-photon Scattering On Atomic Electronmentioning

confidence: 99%

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Angular correlations in two-photon spectroscopy of hydrogen

Anikin,

Zalialiutdinov,

Solovyev

2020

Preprint

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Section: Qed Theory Of Resonant Two-photon Scattering On Atomic Electronmentioning

confidence: 99%

“…According to the resonant approximation, [17,18] the only one term for the chosen resonant n level can be retained in the sum over intermediate states in the scattering amplitude.…”

Section: Qed Theory Of Resonant Two-photon Scattering On Atomic Electronmentioning

confidence: 99%

See 1 more Smart Citation

Angular correlations in two-photon spectroscopy of hydrogen

Anikin,

Zalialiutdinov,

Solovyev

2020

Preprint

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“…Thus, one can that the problem of divergence can be solved not only by imposing restrictions on the detector and its resolution, but also by taking into account the spectral characteristics of the source itself, in particular taking into account the finite interaction time of radiation with an electron. The latter circumstance for the theory of free particles can be taken into account phenomenologically by analogy with the quantum-mechanical description of photon scattering processes on atoms, where singular denominators are regularized by the introduction of atomic level widths [27][28][29]. Then, following [27], the infrared behavior ω −1 1 of the DDC scattering can be naively regularized as follows:…”

mentioning

confidence: 99%

Some Features of the Direct and Inverse Double-Compton Effect as Applied to Astrophysics

Дубрович

Zalialiutdinov

2021

Physics

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In the present paper, the process of inverse double-Compton (IDC) scattering is considered in the context of astrophysical applications. It is assumed that the two hard X-ray photons emitted from an astrophysical source are scattered on a free electron and converted into a single soft photon of optical range. Using the QED S-matrix formalism for the derivation of a cross-section of direct double-Compton (DDC) scattering and assuming detailed balance conditions, an analytical expression for the cross-section of the IDC process is presented. It is shown that at fixed energies of incident photons, the inverse cross-section has no infrared divergences, and its behavior is completely defined by the spectral characteristics of the photon source itself, in particular by the finite interaction time of radiation with an electron. Thus, even for the direct process, the problem of resolving infrared divergence actually refers to a real physical source of radiation in which photons are never actually plane waves. As a result, the physical frequency profile of the scattered radiation for DDC as well as for IDC processes is a function of both the intensity and line shape of the incident photon field.

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“…Thus, we see that the problem of divergence can be solved not only by imposing restrictions on the detector and its resolution, but also by taking into account the spectral characteristics of the source itself, in particular, taking into account the finite interaction time of radiation with an electron. The latter circumstance for the theory of free particles can be taken into account phenomenologically by analogy with the quantum-mechanical description of photon scattering processes on atoms, where singular denominators are regularized by the introduction of atomic level widths [27][28][29]. Then, following [27] the infrared behaviour ω −1 1 of the DDC scattering can be naively regularized as follows…”

mentioning

confidence: 99%

Some features of the direct and inverse double Compton effect as applied to astrophysics

Dubrovich,

Zalialiutdinov

2021

Preprint

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In the present paper, we consider the process of inverse double Compton (IDC) scattering in the context of astrophysical applications. It is assumed that the two hard X-ray photons emitted from an astrophysical source are scattered on a free electron and converted into a single soft photon of optical range. Using QED S-matrix formalism for the derivation of a cross-section of direct double Compton (DDC) and assuming detailed balance conditions we give an analytical expression for the cross-section of the IDC process. It is shown that at fixed energies of incident photons the inverse cross-section has no infra-red divergences and its behavior is completely defined by the spectral characteristics of the photon source itself, in particular, by the finite interaction time of radiation with an electron. Thus, even for the direct process, the problem of resolving infrared divergence actually refers to a real physical source of radiation in which photons are never actually plane waves. As a result the physical frequency profile of the scattered radiation for direct as well as inverse double Compton processes is a function of both the intensity and line shape of the incident photon field.

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QED theory of multiphoton transitions in atoms and ions

Cited by 34 publications

References 145 publications

Angular correlations in two-photon spectroscopy of hydrogen

Angular correlations in two-photon spectroscopy of hydrogen

Some Features of the Direct and Inverse Double-Compton Effect as Applied to Astrophysics

Some features of the direct and inverse double Compton effect as applied to astrophysics

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