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Theoretically self-consistent calculations for photoionization and (e + ion) recombination are described. An identical eigenfunction expansion for the ion is employed in coupled channel calculations for both processes, thus ensuring…

Astrophysics · Physics 2007-05-23 Sultana N. Nahar

We calculate the electron energy spectrum of ionization by a high energy photon, accompanied by creation of electron-positron pair. The total cross section of the process is also obtained. The asymptotics of the cross section does not…

Quantum Physics · Physics 2015-06-26 E. G. Drukarev , A. I. Mikhailov , I. A. Mikhailov , Kh. Yu. Rakhimov , W. Scheid

We develop a model for predicting fine- and hyperfine intensities in the direct photoionization of molecules based on the separability of electron and nuclear spin states from vibrational-electronic states. Using spherical tensor algebra,…

Chemical Physics · Physics 2016-08-24 Matthias Germann , Stefan Willitsch

We perform numerical simulations for photoionization of the argon atom when exposed to a combined field of an infrared laser (abbreviated IR) and its 13th harmonic (H13) by solving the Time-Dependent Schr\"odinger Equation (TDSE)], noting…

Atomic Physics · Physics 2022-08-26 Soumia Chqondi , Souhaila Chaddou , Abdelkader Makhoute

We present the hybrid anti-symmetrized coupled channels method for the calculation of fully differential photo-electron spectra of multi-electron atoms and small molecules interacting with strong laser fields. The method unites quantum…

Computational Physics · Physics 2015-06-17 Vinay Pramod Majety , Alejandro Zielinski , Armin Scrinzi

We present an efficient perturbative method to obtain both static and dynamic polarizabilities and hyperpolarizabilities of complex electronic systems. This approach is based on the solution of a frequency dependent Sternheimer equation,…

Materials Science · Physics 2009-11-13 Xavier Andrade , Silvana Botti , Miguel A. L. Marques , Angel Rubio

Based on the work done by an electromagnetic field on an atomic or molecular electronic system, a general gauge invariant formulation of transient absorption spectroscopy is presented within the semi-classical approximation. Avoiding…

In this study, we have investigated the photoionization cross section of an on-center hydrogenic impurity in a multi-layered spherical quantum dot. The electronic energy levels and their wave functions have been determined fully numerically…

Mesoscale and Nanoscale Physics · Physics 2013-05-07 Mehmet Sahin , Firdes Tek , Ahmet Erdinç

In the recent work of S. Sharma \emph{et al.}, (arxiv.org: arxiv:0912.1118), a single-electron spectrum associated with the natural orbitals was defined as the derivative of the total energy with respect to the occupation numbers at half…

Chemical Physics · Physics 2012-03-07 E. N. Zarkadoula , S. Sharma , J. K. Dewhurst , E. K. U. Gross , N. N. Lathiotakis

We present a new adaptive method for electronic structure calculations based on novel fast algorithms for reduction of multivariate mixtures. In our calculations, spatial orbitals are maintained as Gaussian mixtures whose terms are selected…

Numerical Analysis · Mathematics 2019-06-19 Gregory Beylkin , Lucas Monzon , Xinshuo Yang

A general procedure for the optimization of atomic density-fitting basis functions is designed with the balance between accuracy and numerical stability in mind. Given one-electron wavefunctions and energies, weights are assigned to the…

Chemical Physics · Physics 2020-10-13 Dimitri N. Laikov

We present a simple diode laser-based photoionization scheme for generating electrons and ions with well-defined spatial and energetic (<2 eV) structures. This scheme can easily be implemented into ion or electron imaging spectrometers for…

Instrumentation and Detectors · Physics 2017-07-24 A. Wituschek , J. von Vangerow , J. Grzesiak , F. Stienkemeier , M. Mudrich

The time-dependent Schr\"{o}dinger equation for the hydrogen atom and its interaction with coherent intense high-frequency short laser pulses is solved numerically exactly by propagating the single-electron wave packets. Thereby, the…

Atomic Physics · Physics 2013-09-11 Philipp V. Demekhin , David Hochstuhl , Lorenz S. Cederbaum

Calibrating for direction-dependent ionospheric distortions in visibility data is one of the main technical challenges that must be overcome to advance low-frequency radio astronomy. In this paper, we propose a novel probabilistic,…

Instrumentation and Methods for Astrophysics · Physics 2020-01-15 J. G. Albert , M. S. S. L. Oei , R. J. van Weeren , H. T. Intema , H. J. A. Röttgering

We present a method for computing optical absorption spectra by means of a Bethe-Salpeter equation approach, which is based on a conserving linear response calculation for electron-hole coherences in the presence of an external…

Materials Science · Physics 2010-12-21 George Pal , Yaroslav Pavlyukh , Wolfgang Hübner , Hans Christian Schneider

A basic concept to calculate physical features of non-ideal plasmas, such as optical properties, is the spectral function which is linked to the self-energy. We calculate the spectral function for a non-relativistic hydrogen plasma in…

Plasma Physics · Physics 2009-11-13 Carsten Fortmann , Gerd Röpke , August Wierling

In this paper we develop a plane wave type method for discretization of homogeneous Helmholtz equations with variable wave numbers. In the proposed method, local basis functions (on each element) are constructed by the geometric optics…

Numerical Analysis · Mathematics 2021-07-22 Qiya Hu , Zezhong Wang

The cross section for single K-shell ionization by a high-energy photon is evaluated in the next-to-leading order of the nonrelativistic perturbation theory with respect to the electron-electron interaction. The screening corrections are of…

Atomic Physics · Physics 2009-11-11 A. I. Mikhailov , A. V. Nefiodov , G. Plunien

A new approach is laid out to investigate the two photon atomic transitions. It is based on application of the finite basis solutions constructed from the Bernstein Polynomial (B-Polynomial) sets. We show that such an approach provides a…

Mathematical Physics · Physics 2015-05-28 P. Amaro , A. Surzhykov , F. Parente , P. Indelicato , J. P. Santos

We develop a new statistical model for photographic images, in which the local responses of a bank of linear filters are described as jointly Gaussian, with zero mean and a covariance that varies slowly over spatial position. We optimize…

Computer Vision and Pattern Recognition · Computer Science 2015-03-25 Olivier J. Hénaff , Johannes Ballé , Neil C. Rabinowitz , Eero P. Simoncelli