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ATOMIC WAVE PACKETS CREATED BY SHORT ELECTRIC PULSES

机译:短脉冲产生的原子波包

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A charged particle emits (absorbs) electromagnetic radiation efficiently in the region where its acceleration is at a maximum. In an atom this region is close to the nucleus, where the electron motion can be approximated by a parabola. Based on this approximation, Kramers (see Ref. [1]) has derived very simple and accurate expressions for the transition probabilities between hydrogenic bound-bound and bound-continuum states. This law has a more expressed manifestation in the multiphoton absorption process. The interaction of atoms with short electric pulses differs sharply from that for laser pulses. In recent years the ionisation of atoms in high-lying Rydberg states by unipolar so-called half-cycle pulses (HCP's) has been studied extensively. Here we discuss only the limit of a very short HCP whose duration r is much shorter than the classical electron orbital period T_K = 27πn~3, where E_n = - 1/2n~2 is the electron initial energy (atomic units are used throughout). In this limit, the HCP with the peak value FO delivers a momentum q = F_0τ to she electron. As shown in Ref., the large distances from the atomic core play an important role in the interaction of the HCP with a Rydberg atom, and states with a large angular momentum are involved in the process of HCP absorption. In this work, we consider the classical theory of the Rydberg atom kicked by one and two HCP's. On the basis of the semiclassical approximation, we derive also the expression for the atomic wave packet created by a short unipolar electric pulse.
机译:带电粒子在其加速度最大的区域内有效地发射(吸收)电磁辐射。在原子中,该区域靠近原子核,在这里电子运动可以用抛物线近似。基于此近似值,Kramers(参见参考文献[1])已为氢键合键合态和键合连续体态之间的跃迁概率导出了非常简单而准确的表达式。该定律在多光子吸收过程中具有更明显的表现。原子与短电脉冲的相互作用与激光脉冲的相互作用大不相同。近年来,已广泛研究了通过单极性所谓的半周期脉冲(HCP's)在高处Rydberg态中原子的电离。在这里,我们仅讨论持续时间r比经典电子轨道周期T_K =27πn〜3短得多的非常短的HCP的极限,其中E_n =-1 / 2n〜2是电子初始能量(贯穿整个原子单元) 。在此极限下,具有峰值FO的HCP向电子传递动量q =F_0τ。如参考文献中所示,距原子核的较大距离在HCP与Rydberg原子的相互作用中起着重要作用,并且具有大角动量的状态参与了HCP的吸收过程。在这项工作中,我们考虑由一个和两个HCP引发的Rydberg原子的经典理论。在半经典近似的基础上,我们还导出了由短单极电脉冲产生的原子波包的表达式。

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