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Tomographic Imaging of Molecular Orbitals in Length and Velocity Form

机译:长度和速度形式的分子轨道的层析成像

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摘要

Recently Itatani et al. [Nature 432, 876 (2004)] introduced the new concept of molecular orbital tomography, where high harmonic generation (HHG) is used to image electronic wave functions. We describe an alternative reconstruction form, using momentum instead of dipole matrix elements for the electron recombination step in HHG. We show that using this velocity-form reconstruction, one obtains better results than using the original length-form reconstruction. We provide numerical evidence for our claim that one has to resort to extremely short pulses to perform the reconstruction for an orbital with arbitrary symmetry. The numerical evidence is based on the exact solution of the time-dependent Schroedinger equation for 2D model systems to simulate the experiment. Furthermore we show that in the case of cylindrically symmetric orbitals, such as the N_2 orbital that was reconstructed in the original work, one can obtain the full 3D wave function and not only a 2D projection of it.
机译:最近,Itatani等人。 [Nature 432,876(2004)]引入了分子轨道层析成像的新概念,其中高谐波产生(HHG)用于成像电子波功能。我们描述了一种替代的重建形式,在HHG中使用动量代替偶极矩阵元素进行电子重组。我们表明,使用这种速度形式的重构,比使用原始的长度形式的重构可获得更好的结果。我们为我们的主张提供了数值证据,即人们必须诉诸极短的脉冲才能对具有任意对称性的轨道进行重建。数值证据基于时间依赖型Schroedinger方程对于2D模型系统进行仿真的精确解。此外,我们表明,在圆柱对称轨道的情况下,例如在原始工作中重建的N_2轨道,人们可以获得完整的3D波函数,而不仅是其2D投影。

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