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首页> 外文期刊>Annals of Physics >Dynamics of atoms in strong laser fields I: A quasi analytical model in momentum space based on a Sturmian expansion of the interacting nonlocal Coulomb potential
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Dynamics of atoms in strong laser fields I: A quasi analytical model in momentum space based on a Sturmian expansion of the interacting nonlocal Coulomb potential

机译：强激光场中原子的动力学I：动量空间中基于相互作用的非局域库仑势的Sturmian展开的拟解析模型

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In this study we present a model that we have formulated in the momentum space to describe atoms interacting with intense laser fields. As a further step, it follows our recent theoretical approach in which the kernel of the reciprocal-space time-dependent Schrodinger equation (TDSE) is replaced by a finite sum of separable potentials, each of them supporting one bound state of atomic hydrogen (Tetchou Nganso et al. 2013). The key point of the model is that the nonlocal interacting Coulomb potential is expanded in a Coulomb Sturmian basis set derived itself from a Sturmian representation of Bessel functions of the first kind in the position space. As a result, this decomposition allows a simple spectral treatment of the TDSE in the momentum space. In order to illustrate the credibility of the model, we have considered the test case of atomic hydrogen driven by a linearly polarized laser pulse, and have evaluated analytically matrix elements of the atomic Hamiltonian and dipole coupling interaction. For various regimes of the laser parameters used in computations our results are in very good agreement with data obtained from other time-dependent calculations. (C) 2016 Elsevier Inc. All rights reserved.
机译：在这项研究中，我们提出了一个在动量空间中建立的模型，用于描述与强激光场相互作用的原子。作为进一步的步骤，它遵循了我们最近的理论方法，在该方法中，时空倒影的薛定inger方程（TDSE）的内核被可分离势的有限和所代替，每个势均支持一个原子氢的束缚态（Tetchou Nganso等人，2013年）。该模型的关键在于，非局部相互作用的库仑势在库仑Sturmian基集中扩展，该库集从位置空间中第一类Bessel函数的Sturmian表示推导而来。结果，这种分解允许在动量空间中对TDSE进行简单的频谱处理。为了说明该模型的可靠性，我们考虑了由线性偏振激光脉冲驱动的原子氢的测试情况，并分析了原子哈密顿量和偶极子相互作用的矩阵元素。对于计算中使用的各种激光参数方案，我们的结果与从其他与时间相关的计算中获得的数据非常吻合。 （C）2016 Elsevier Inc.保留所有权利。

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