<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mn /><mml:mo>(</mml:mo><mml:mi>e</mml:mi><mml:mo>,</mml:mo><mml:mn>2</mml:mn><mml:mi>e</mml:mi><mml:mo>)</mml:mo><mml:mn /></mml:math>ionization of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msubsup><mml:mrow><mml:mi mathvariant="normal">H</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msubsup></mml:mrow></mml:math>by fast electr

Serov, Vladislav V.; Joulakian, B.; Павлов, Д. В.; Пузынин, И.В.; Vinitsky, S. I.

doi:10.1103/physreva.65.062708

Cited by 27 publications

(25 citation statements)

References 17 publications

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“…Ionization of H + 2 by a monochromatic XUV radiation was modeled separately by the method based on the spheroidal Coulomb (SC) functions [19,20]. With this method, we obtained the XUV ionization amplitude and fed it to the expression for the Wigner time delay Eq.…”

Section: Further Calibration Of Our Technique Is Demonstrated Inmentioning

confidence: 99%

Angular anisotropy of time delay in XUV+IR photoionization ofH2+

Serov

Kheifets

2016

Phys. Rev. A

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We develop a novel technique for modeling of atomic and molecular ionization in superposition of XUV and IR fields with characteristics typical for attosecond streaking and RABBITT experiments. The method is based on solving the time-dependent Schrödinger equation in the coordinate frame expanding along with the photoelectron wave packet. The efficiency of the method is demonstrated by calculating angular anisotropy of photoemission time delay of the H + 2 ion in a field configuration of recent RABBITT experiments.

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Section: Further Calibration Of Our Technique Is Demonstrated Inmentioning

confidence: 99%

Angular anisotropy of time delay in XUV+IR photoionization ofH2+

Serov

Kheifets

2016

Phys. Rev. A

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“…and the solutions (Coulomb spheroidal functions) are known [15,16]. The two-center Coulomb continuum wave function may be presented as a sum of partial spheroidal waves [15] ϕ (−)…”

Section: Time Delay For Spheroidal Two-center Coulomb Wavesmentioning

confidence: 99%

Interpretation of time delay in the ionization of two-center systems

2013

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We consider the time delay of electron detachment from a Coulomb center and two-center systems in the process of ionization. It is shown that the attosecond streaking, most usual method of time delay measure, can be formally described by placing a virtual detector of the arrival time delay at a certain distance from the center of the system. This approach allows derivation of a simple formula for Coulomb-laser coupling that perfectly agrees with the results of numerical solution of the time-dependent Schrödinger equation. The dependence of the time delay upon the energy, the angular momentum projection, and the azimuthal quantum number is studied for the ionization of molecular hydrogen ion. Finally, we propose a physical interpretation of singularities, arising when the formal expression for the time delay is applied to the ionization of molecular hydrogen.

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“…Each of these plane waves was also expanded with respect to spheroidal functions. As a result the calculation of the cross-section is reduced to the calculation of a set of one-dimensional integrals of the spheroidal functions [7,8]. This is a substantial advantage of our method compared to other methods [3,4,6] that require multidimensional integration.…”

Section: Calculation Of the Differential Cross-section Of H2 Ionizatimentioning

confidence: 93%

“…The distance between the centers is R, the separation constant is denoted by kml A . We solved these equations numerically using the finite-difference scheme of the fourth order [7]. The wave function of the ground state was chosen in the form of a three-parameter configuration function [9], for which the functions of one-electron configurations have the form …”

Section: Calculation Of the Differential Cross-section Of H2 Ionizatimentioning

confidence: 99%

“…At the same time, such solutions exist, since this problem allows the separation of variables in spheroidal coordinates. These exact solutions have been already used by the authors to calculate the ionization of the molecular hydrogen ion [7] and the ionization-excitation of the neutral hydrogen molecule [8]. It is natural to use the product of these solutions as the approximate wave function of two-electron continuum in the two-center field.…”

Section: Introductionmentioning

confidence: 98%

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<title>Double ionization of hydrogen molecule by fast electron impact: calculation using exact wave functions of two-center continuum</title>

et al. 2007

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The differential cross-section of the double ionization of the hydrogen molecule by a fast-electron impact is calculated using the expansion of the solution in terms of spheroidal functions. The calculation of the cross-section is reduced to the calculation of a set of one-dimensional integrals of the spheroidal functions which is a substantial advantage of the method. Calculations based on different approximate models of electron-electron correlation are compared with each other and with the experiment.

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(e,2e)ionization ofH2+by fast electr

Cited by 27 publications

References 17 publications

Angular anisotropy of time delay in XUV+IR photoionization ofH2+

Angular anisotropy of time delay in XUV+IR photoionization ofH2+

Interpretation of time delay in the ionization of two-center systems

<title>Double ionization of hydrogen molecule by fast electron impact: calculation using exact wave functions of two-center continuum</title>

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