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The alignment dependence of the ionization behavior of H$_2$ exposed to intense ultrashort laser pulses is investigated on the basis of solutions of the full time-dependent Schr\"odinger equation within the fixed-nuclei and dipole…

Quantum Physics · Physics 2013-05-29 Yulian V. Vanne , Alejandro Saenz

The pseudospectral method is a powerful tool for finding highly precise solutions of Schr\"{o}dinger's equation for few-electron problems. We extend the method's scope to wave functions with non-zero angular momentum and test it on several…

Atomic Physics · Physics 2013-05-29 Paul E. Grabowski , David F. Chernoff

We develop a model of molecular binding based on the Bohr-Sommerfeld description of atoms together with a constraint taken from conventional quantum mechanics. The model can describe the binding energy curves of H2, H3 and other molecules…

Chemical Physics · Physics 2009-11-11 Anatoly A. Svidzinsky , Siu A. Chin , Marlan O. Scully

We study theoretically the dipole radiation of a hydrogen atom driven by an intense sub-cycle pulse. The time-dependent Schr\"odinger equation for the system is solved by ab initio calculation to obtain the dipole response. Remarkably, a…

Atomic Physics · Physics 2016-02-05 Wei-Chun Chu , John C. Travers , Philip St. J. Russell

In this work, we irradiate a superconducting artificial molecule composed of two coupled tunable transmons with microwave light while monitoring its state via joint dispersive readout. Performing high-power spectroscopy, we observe and…

The time-dependent surface flux (t-SURFF) method is introduced for computing of strong-field infrared photo-ionization spectra of atoms by numerically solving the time-dependent Schr\"odinger equation on minimal simulation volumes. The…

Computational Physics · Physics 2015-05-30 Liang Tao , Armin Scrinzi

For arbitrary values n and l quantum numbers, we present the solutions of the 3-dimensional Schrodinger wave equation with the pseudoharmonic potential via SU(1,1) Spectrum Generating Algebra (SGA) approach. The explicit bound state…

Chemical Physics · Physics 2011-05-12 K. J. Oyewumi , K. D. Sen

We have obtained the solutions of linearized Shr{\"o}dinger equation for spherically and axially symmetrical electrons density oscillations in plasma in the approximation of the self-consistent field. It was shown that in the center or on…

Plasma Physics · Physics 2007-05-23 M. Dvornikov , S. Dvornikov , G. Smirnov

The Schroedinger equation is solved exactly within the Born-Oppenheimer approximation for a simulacrum of the $H_3^{++}$-ion. The ion is assumed to form an isosceles triangle and the ground state energy is obtained over its geometrical…

Quantum Physics · Physics 2014-03-12 M. L. Glasser

We obtain an expression for the matrix element for a twisted (Laguerre-Gaussian profile) photon scattering from a hydrogen atom. We consider photons incoming with an orbital angular momentum (OAM) of $\ell \hbar$, carried by a factor of…

Quantum Physics · Physics 2013-02-06 Basil S. Davis , L. Kaplan , J. H. McGuire

Solving the electronic Schr\"odinger equation for changing nuclear coordinates provides access to the Born-Oppenheimer potential energy surface. This surface is the key starting point for almost all theoretical studies of chemical processes…

Chemical Physics · Physics 2022-01-14 Markus Reiher

We demonstrate an accurate phase retrieval of XUV atomic ionization by streaking the photoelectron in a circularly polarized IR laser field. The streaking phase can then be converted to the atomic time delay containing the Wigner and…

We present a method to compute the photoionization spectra of atoms and molecules in linear response time-dependent density functional theory. The electronic orbital variations corresponding to ionized electrons are expanded on a basis set…

Computational Physics · Physics 2023-05-24 Ivan Duchemin , Antoine Levitt

We present a theoretical study on polarization-averaged molecular-frame photoelectron angular distributions (PA-MFPADs) emitted from $1s$ orbital of oxygen atom of dissociating dicationic carbon monoxide CO$^{2+}$. Due to the…

Chemical Physics · Physics 2020-11-17 Fukiko Ota , Kaoru Yamazaki , Didier Sébilleau , Kiyoshi Ueda , Keisuke Hatada

The natural electromagnetic modes spontaneously emitted by an atom in free space are spherical vector waves (SVWs). Each SVW mode is uniquely linked to a specific dynamical--spherical--multipole--moment of the atomic system. In this work,…

Atomic Physics · Physics 2026-05-28 F. Camas-Aquino , R. Jáuregui

In this work we discuss the rotational structure of Rydberg molecules. We calculate the complete wave function in a laboratory fixed frame and derive the transition matrix elements for the pho- toassociation of free ground state atoms. We…

Atomic Physics · Physics 2018-08-01 O. Thomas , C. Lippe , T. Eichert , H. Ott

Photoelectron spectra and photoelectron angular distributions obtained in photoionization reveal important information on e.g. charge transfer or hole coherence in the parent ion. Here we show that optimal control of the underlying quantum…

Atomic Physics · Physics 2016-01-20 R. Esteban Goetz , Antonia Karamatskou , Robin Santra , Christiane P. Koch

Motivated by recent experiments in optics and atomic physics, we derive an averaged nonlinear partial differential equation describing the dynamics of the complex field in a nonlinear Schroedinger model in the presence of a periodic…

Pattern Formation and Solitons · Physics 2009-11-13 S. Beheshti , K. J. H. Law , P. G. Kevrekidis , Mason A. Porter

We present a method for retrieving of single-active electron potential in an atom or molecule from a given momentum distribution of photoelectrons ionized by a strong laser field. In this method the potential varying within certain limits…

Atomic Physics · Physics 2021-07-07 N. I. Shvetsov-Shilovski

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