Paper Titles
Preface
The Time-Dependent Hartree-Fock Formalism of the Double Excited States of the Helium Atom
p.3
Direct Determination of the Photoelectron Momentum Distribution from the Wave Function
p.11
Direct Determination of the Fully Differential Cross Section by the Time-Dependent Wave Function
p.19
First-Principles Study of Structural, Electronic and Optical Properties of Trans-4-(Trifluoromethyl) Cinnamic Acid
p.27
Modeling of Sound Propagation in Liquid Medium Depending on the Size of Air Bubbles
p.39
Predicting Engineering Stress-Strain Curve of AZ91/Graphene Composites with Linear Regression Machine Learning
p.49
Optimization of Honeycomb Structures for Sandwich Panels by Response Surface Methodology (RSM)
p.55
Evaluation of Different Die Angles in the ECAP Process of AA6061 Using Simulation Models
p.61

Direct Determination of the Photoelectron Momentum Distribution from the Wave Function

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Abstract:

This study examines the phenomenon of electron ionization induced by the excitation of hydrogen atoms using a short laser pulse. We determined the temporal probability density distribution of electrons ejected from the atom and scattered in the continuum upon ionization of an atom by a short laser pulse, demonstrating that the electron probability density has increased radially. Based on Born's interpolation and Kemble's imaging theorem , the photoelectron momentum distribution found by square rooting the wave function's modulus matches the results found using the ionization amplitude, which is a standard method in quantum mechanics. We show that we can directly determine the differential ionization cross-section for the time-dependent one-electron wave function without considering spatial integrals for finding the ionization amplitude. It makes the work easier because it gets rid of the need to create a scattered wave function, which is needed to figure out the results that show how atomic and molecular photoelectron momentum is spread out in modern labs.

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Periodical:

Key Engineering Materials (Volume 1029)

Pages:

11-18

DOI:

https://doi.org/10.4028/p-TRhE06

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Online since:

November 2025

Authors:

Ishdorj Adiyadoljin, Zorigt Gombosuren, Khenmedekh Lochin, Altangoo Ochirbat, Aldarmaa Chuluunbaatar*

Keywords:

Hydrogen Atom, Imaging Theorem, Laser Pulse, Spider-Like

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© 2025 Trans Tech Publications Ltd. All Rights Reserved

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