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We present a detailed study of scattering by an amplitude-modulated potential barrier using three distinct physical frameworks: quantum, classical, and semiclassical. Classical physics gives bounds on the energy and momentum of the…

We present total cross sections for single and double ionization of helium by antiproton impact over a wide range of impact energies from 10 keV/amu to 1 MeV/amu. A non-perturbative time-dependent close-coupling method (TDCC) is applied to…

原子物理 · 物理学 2008-11-26 M. Foster , J. Colgan , M. S. Pindzola

We compute the partition function and specific heat for a quantum mechanical particle under the influence of a quartic double-well potential non-perturbatively, using the semiclassical method. Near the region of bounded motion in the…

高能物理 - 唯象学 · 物理学 2014-07-23 D. Kroff , A. Bessa , C. A. A. de Carvalho , E. S. Fraga , S. E. Jorás

In a recent letter [Phys. Rev. Lett. {\bf 100}, 164101 (2008)] and within the context of quantized chaotic billiards, random plane wave and semiclassical theoretical approaches were applied to an example of a relatively new class of…

介观与纳米尺度物理 · 物理学 2013-05-29 Denis Ullmo , Steven Tomsovic , Arnd Baecker

We analyze strong field atomic dynamics semiclassically, based on a full time-dependent description with the Hermann-Kluk propagator. From the properties of the exact classical trajectories, in particular the accumulation of action in time,…

原子物理 · 物理学 2009-11-06 Gerd van de Sand , Jan M Rost

The interaction of a weakly bound Rydberg electron with an electromagnetic half-cycle pulse (HCP) is described with the help of a multidimensional semiclassical treatment. This approach relates the quantum evolution of the electron to its…

量子物理 · 物理学 2009-10-31 O. Zobay , G. Alber

Previously a compact formula for total reaction cross section for heavy-ion collisions as a function of energy was obtained by treating the angular momentum $l$ as a continuous variable. The accuracy of the continuum approximation is…

核理论 · 物理学 2012-12-11 Cheuk-Yin Wong

We theoretically investigate the single and double ionization of the He atom by antiproton impact for projectile energies ranging from $3$~keV up to $1000$~keV. We obtain accurate total cross sections by directly solving the fully…

原子物理 · 物理学 2015-03-06 S. Borbély , J. Feist , S. Nagele , K. Tőkési , L. Nagy , J. Burgdörfer

We consider the numerical solution of high-frequency scattering problems modeled by the Helmholtz equation with a bounded obstacle. Although the analysis of this problem dates back at least 50 years, over the past decade or so, tools and…

数值分析 · 数学 2026-03-24 Jeffrey Galkowski , Euan A. Spence

The values of ion-atom ionization cross sections are frequently needed for many applications that utilize the propagation of fast ions through matter. When experimental data and theoretical calculations are not available, approximate…

原子物理 · 物理学 2008-11-26 Igor D. Kaganovich , Edward Startsev , Ronald C. Davidson

The semiclassical method of Alder and Winther is generalized to study fusion reactions. As an illustration, we evaluate the fusion cross section in a schematic two-channel calculation. The results are shown to be in good agreement with…

核理论 · 物理学 2017-08-23 M. S. Hussein , L. F. Canto , R. Donangelo

We introduce three representative topics in semi-classical analysis. Starting from the correspondence between classical and quantum mechanics, basic semi-classical analysis tools and results are presented. The three topics are investigated…

偏微分方程分析 · 数学 2024-07-03 Clotilde Fermanian Kammerer , Jérôme Le Rousseau

A sixth order quadrupole boson Hamiltonian is treated through a time dependent variational principle approach choosing as trial function a coherent state with respect to zeroth $b^{\dagger}_0$ and second $b^{\dagger}_2+b^{\dagger}_{-2}$…

核理论 · 物理学 2009-11-11 F. D. Aaron , A. A. Raduta

A semiclassical approach for calculating shell effects, that has been used in atomic and plasma physics, is applied to describe the electronic supershells in metal clusters. Using the spherical jellium model we give the analytical…

介观与纳米尺度物理 · 物理学 2007-05-23 G. V. Shpatakovskaya

We address nonsequential double ionization induced by strong, linearly polarized laser fields of only a few cycles, considering a physical mechanism in which the second electron is dislodged by the inelastic collision of the first electron…

原子物理 · 物理学 2009-11-10 C. Figueira de Morisson Faria , X. Liu , A. Sanpera , M. Lewenstein

Canonical semiclassical methods can be used to develop an intuitive definition of tunneling time through potential barriers. An application to atomic ionization is given here, considering both static and time-dependent electric fields. The…

量子物理 · 物理学 2019-01-23 Bekir Baytas , Martin Bojowald , Sean Crowe

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…

原子物理 · 物理学 2009-11-06 F. Sattin

Semiclassical periodic orbit theory is used in many branches of physics. However, most applications of the theory have been to systems which involve only single particle dynamics. In this work, we develop a semiclassical formalism to…

混沌动力学 · 物理学 2009-10-31 Jamal Sakhr , Niall D. Whelan

We present a new semiclassical technique which relies on replacing complicated classical manifold structure with simpler manifolds, which are then evaluated by the usual semiclassical rules. Under circumstances where the original manifold…

混沌动力学 · 物理学 2009-11-07 Jiri Vanicek , Eric J. Heller

We present a semi-relativistic model for the description of the ionization process of atomic hydrogen by electron impact in the first Born approximation by using the Darwin wave function to describe the bound state of atomic hydrogen and…

原子物理 · 物理学 2007-05-23 Y. Attaourti , S. Taj , B. Manaut