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Easy physics-inspired approximations of the total and binding energies for the ${\rm H}$ atom and for the molecular ions $${\rm H}_2^{(+)} ({\rm ppe}), {\rm H}_3^{(2+)} ({\rm pppe}), ({\rm HeH})^{++} (\al {\rm p e}), {\rm He}_2^{(3+)} (\al…

Atomic Physics · Physics 2007-05-23 A. V. Turbiner , A. B. Kaidalov , J. C. Lopez Vieyra

Wave functions and electron potentials of laterally-confined surface states are determined experimentally by means of photoemission from stepped Au(111) surfaces. Using an iterative formalism borrowed from x-ray diffraction, we retrieve the…

Materials Science · Physics 2012-11-13 A. Mugarza , J. E. Ortega , F. J. Himpsel , F. J. Garcia de Abajo

The coherent interaction between free electrons and optical near-fields enables the active modulation of electron wave packets, a mechanism central to photon-induced near-field electron microscopy (PINEM). While existing theories…

Quantum Physics · Physics 2026-05-12 Mads Brøndum Carlsen , Lars Bojer Madsen

We show that the time dependent single electron, nuclear density matrix of an interacting electronic system coupled to nuclear degrees of freedom can be exactly reproduced by that of an electronic system with arbitrarily specified…

Materials Science · Physics 2009-02-07 Vinod Krishna

We examine the spatial distribution of electrons generated by a fixed energy point source in uniform, parallel electric and magnetic fields. This problem is simple enough to permit analytic quantum and semiclassical solution, and it harbors…

Quantum Physics · Physics 2007-05-23 Christian Bracher , Tobias Kramer , John B. Delos

Explicit-electron force fields introduce electrons or electron pairs as semi-classical particles in force fields or empirical potentials, which are suitable for molecular dynamics simulations. Even though semi-classical electrons are a…

Chemical Physics · Physics 2022-05-17 Maarten Cools-Ceuppens , Joni Dambre , Toon Verstraelen

Electron localization is the tendency of an electron in a many-body system to exclude other electrons from its vicinity. Using a new natural measure of localization based on the exact manyelectron wavefunction, we find that localization can…

Mesoscale and Nanoscale Physics · Physics 2021-01-15 T. R. Durrant , M. J. P. Hodgson , J. D. Ramsden , R. W. Godby

The ordinary Schrodinger equation with minimal coupling for a nonrelativistic electron interacting with a single-mode photon field is not satisfied by the nonrelativistic limit of the exact solutions to the corresponding Dirac equation. A…

Atomic Physics · Physics 2009-10-31 Dong-Sheng Guo , R. R. Freeman , Yong-Shi Wu

Intense-field ionization of the hydrogen molecular ion by linearly-polarized light is modelled by direct solution of the fixed-nuclei time-dependent Schr\"odinger equation and compared with recent experiments. Parallel transitions are…

Computational Physics · Physics 2009-11-10 Liang-You Peng , Daniel Dundas , J F McCann , K T Taylor , I D Williams

The present paper is the natural continuation of the letter [Phys. Rev. Lett. \textbf{113}, 040402 (2014)], where the electron wave functions in the presence of a background electromagnetic field of general space-time structure have been…

High Energy Physics - Phenomenology · Physics 2015-04-15 A. Di Piazza

We present an ab initio approach to solve the time-dependent Schr\"odinger equation to treat electron and photon impact multiple ionization of atoms or molecules. It combines the already known time scaled coordinate method with a new high…

We present a construction of a mean-field theory for thermodynamic and spectral properties of correlated electrons reliable in the strong-coupling limit. We introduce an effective interaction determined self-consistently from the reduced…

Strongly Correlated Electrons · Physics 2017-04-19 Václav Janiš , Vladislav Pokorný , Anna Kauch

By analyzing ``exact'' theoretical results from solving the time-dependent Schr\"odinger equation of atoms in few-cycle laser pulses, we established the general conclusion that differential elastic scattering and photo-recombination cross…

Atomic Physics · Physics 2008-04-04 Toru Morishita , Anh-Thu Le , Zhangjin Chen , C. D. Lin

Density functional theory is generalized to incorporate electron-phonon coupling. A Kohn-Sham equation yielding the electronic density $n_U(\mathbf{r})$, a conditional probability density depending parametrically on the phonon normal mode…

Materials Science · Physics 2019-04-25 Ryan Requist , C. R. Proetto , E. K. U. Gross

The transient picture for a Bloch electron accelerating in an arbitrarily time-dependent homogeneous electric field is developed. The temporal sequence for the analysis includes the instant after electron injection, followed by the time…

Mesoscale and Nanoscale Physics · Physics 2026-03-02 G. J. Iafrate , V. N. Sokolov

Applying the method of characteristics leads to wavefunctions and dynamic localization conditions for electrons on the one dimensional lattice under perpendicular time dependent electric and magnetic fields. Such conditions proceed again in…

Mesoscale and Nanoscale Physics · Physics 2008-02-12 C. Micu , E. Papp , L. Aur

The polaron model of H. Fr\"ohlich describes an electron coupled to the quantized longitudinal optical modes of a polar crystal. In the strong-coupling limit one expects that the phonon modes may be treated classically, which leads to a…

Mathematical Physics · Physics 2017-11-22 Marcel Griesemer

We investigate the photoionization dynamics of atoms subjected to intense, ultrashort laser pulses through the use of quantum trajectories. This method provides a unique and consistent framework for examining electron dynamics within a…

Atomic Physics · Physics 2024-08-01 Taylor Moon , Klaus Bartschat , Nicolas Douguet

We formulate a three-dimensional semi-classical model to address triple and double ionization in three-electron atoms driven by intense infrared laser pulses. During time propagation, our model fully accounts for the Coulomb singularities,…

Atomic Physics · Physics 2022-04-20 M. B. Peters , G. P. Katsoulis , A. Emmanouilidou

The feasibility of obtaining exact analytical results in the realm of QED in the presence of a background electromagnetic field is almost exclusively limited to a few tractable cases, where the Dirac equation in the corresponding background…

High Energy Physics - Phenomenology · Physics 2016-05-04 A. Di Piazza