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We describe a method for the calculation of photoionization cross-sections using square-integrable amplitudes obtained from the diagonalization of finite-basis set representations of the electronic Hamiltonian. Three examples are…

Atomic Physics · Physics 2017-02-01 Alex Kozlov , Saumitra Saha , Harry Quiney

We present a novel approach to calculating strong field ionization dynamics of multielectron molecular targets. Adopting a multielectron wavefunction ansatz based on field-free ab initio neutral and ionic multielectron states, a set of…

Atomic Physics · Physics 2015-05-14 Michael Spanner , Serguei Patchkovskii

A Schr\"odinger-picture approach is used to calculate the field energy and angular momentum radiated by an atom undergoing spontaneous emission. The calculation is carried out using both the rotating-wave approximation (RWA) and…

Quantum Physics · Physics 2025-07-24 P. R. Berman , A. Kuzmich , P. W Milonni

Multiple electron processes occur widely in atoms, molecules, clusters, and condensed matters when they are interacting with energetic particles or intense laser fields. In this work, a unified and accurate theoretical formalism is proposed…

Atomic Physics · Physics 2018-04-18 Pengfei Liu , Jiaolong Zeng , Jianmin Yuan

In molecular reactions at the microscopic level the appearance of resonances has an important influence on the reactivity. It is important to predict when a bound state transitions into a resonance and how these transitions depend on…

Mathematical Physics · Physics 2010-12-01 Jan Broeckhove , Przemysław Kłosiewicz , Wim Vanroose

The nonlinear Schroedinger model is a prototypical dispersive wave equation that features finite time blowup, either for supercritical exponents (for fixed dimension) or for supercritical dimensions (for fixed nonlinearity exponent). Upon…

Pattern Formation and Solitons · Physics 2022-07-20 S. J. Chapman , M. E. Kavousanakis , E. G. Charalampidis , I. G. Kevrekidis , P. G. Kevrekidis

We report on the design and performance of a double-sided coincidence velocity map imaging spectrometer optimized for electron-ion and ion-ion coincidence experiments studying inner-shell photoionization of gas-phase molecules with soft…

In this paper, we introduce a new scheme for the efficient numerical treatment of the electronic Schr\"odinger equation for molecules. It is based on the combination of a many-body expansion, which corresponds to the so-called bond order…

Numerical Analysis · Mathematics 2017-07-20 Sambasiva Rao Chinnamsetty , Michael Griebel , Jan Hamaekers

The behavior of polyatomic molecules around their equilibrium positions can be regarded as quantum coupled anharmonic oscillators. Solving the corresponding Schr\"odinger equations can interpret or predict experimental spectra of molecules.…

Chemical Physics · Physics 2024-07-10 Qi Zhang , Rui-Si Wang , Lei Wang

An analysis of the analytical solution of the Schr\"{o}dinger equation (which is a second order differential equation) for $H_2^+$ shows that the second linear independent solution of this equation is a square integrable function and…

Quantum Physics · Physics 2007-05-23 Alexander V. Mitin

The Qprop package is presented. Qprop has been developed to study laser-atom interaction in the nonperturbative regime where nonlinear phenomena such as above-threshold ionization, high order harmonic generation, and dynamic stabilization…

Atomic Physics · Physics 2009-11-11 D. Bauer , P. Koval

Photoelectron spectroscopy in intense laser fields has proven to be a powerful tool for providing detailed insights into molecular structure. The ionizing molecular orbital, however, has not been reconstructed from the photoelectron…

Atomic Physics · Physics 2023-04-14 XuanYang Lai , RenPing Sun , ShaoGang Yu , YanLan Wang , Wei Quan , André Staudte , XiaoJun Liu

In this paper we study theoretically the process of electron capture between one-optical-electron atoms (e.g. hydrogenlike or alkali atoms) and ions at low-to-medium impact velocities (v/v_e <= 1) working on a modification of an already…

Atomic Physics · Physics 2009-11-06 F. Sattin

In this paper we report on the development and performance of a cylindrical mirror analyser electron spectrometer for ion atom collision experiments. A low cost data acquisition system using Arduino microcontroller has also been developed…

Atomic Physics · Physics 2024-02-20 Rohit Tyagi , A. H. Kelkar

We analyze several models of atomic detectors in the context of the measurement of coherence properties of matter waves. In particular, we show that an ionization scheme measures normally-ordered correlation functions of the Schr\"odinger…

Atomic Physics · Physics 2009-10-30 E. V. Goldstein , Pierre Meystre

A multiscale QM/classical approach is presented, that is able to model the optical properties of complex nanostructures composed of a molecular system adsorbed on metal nanoparticles. The latter are described by a combined…

Chemical Physics · Physics 2024-10-29 Pablo Grobas Illobre , Piero Lafiosca , Luca Bonatti , Tommaso Giovannini , Chiara Cappelli

We develop a simple model of shape resonances in electron-molecule collisions that is based on the modified effective-range expansion and analytical solutions of the Schrodinger equation for the long-range part of the interaction potential.…

Atomic Physics · Physics 2008-06-02 Zbigniew Idziaszek , Grzegorz Karwasz

The elastic scattering cross sections for a slow electron by C2 and H2 molecules have been calculated within the framework of the non-overlapping atomic potential model. For the amplitudes of the multiple electron scattering by a target the…

Atomic Physics · Physics 2017-10-04 A S Baltenkov , A Z Msezane

It is shown that the equilibrium Generalized Mean Spherical Model of fluid structure may be extended to nonequilibrium states with equation of state information used in equilibrium replaced by an exact condition on the two-body distribution…

Soft Condensed Matter · Physics 2009-10-31 James F. Lutsko

We propose an analytical scattering theory in spectral domain to model the electromagnetic (EM) fields of a gyrotropic sphere in terms of the eigen-functions and their associated spectral eigenvalues/coefficients in a recursive integral…

Materials Science · Physics 2011-02-22 Youlin Geng , Cheng-Wei Qiu
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