Extended Gaussian wave packet dynamics

Control of Arrival Time using Structured Wave Packets

Scattering dynamics are examined for Gaussian and non-Gaussian wave packets with identical momentum densities. Average arrival time delays, dwell times, and phase time delays are calculated for wave packets scattering from a square barrier, and it is shown that the non-Gaussian wave packets exhibit different average arrival time delays than the Gaussian wave packets. These differences result from the non-linear terms in the momentum wave function phase of the non-Gaussian wave packets, which alters the self-interaction times of the wave packets. Control of the average arrival time delay can be…

Spectrum of light scattering from an extended atomic wave packet

The spectrum of the light scattered from an extended atomic wave packet is calculated. For a wave packet consisting of two spatially separated peaks moving on parallel trajectories, the spectrum contains Ramsey-like fringes that are sensitive to the phase difference between the two components of the wave packet. Using this technique, one can establish the mutual coherence of the two components of the wave packet without recombining them.

拉盖尔-高斯电子波包在原子上的弹性散射

Elastic scattering of Laguerre-Gaussian electron packets on atoms

本研究在广义玻恩近似下分析sLG、eLG与BG三种非相对论涡旋电子波包在多类原子靶上的弹性散射，发现前两者的平均截面对轨道角动量敏感，提出可借此差异表征入射涡旋电子波包的特性。

作为优化问题的时间演化：强激光场中基于含时高斯波包基的氢原子研究

Time evolution as an optimization problem: The hydrogen atom in strong laser fields in a basis of time-dependent Gaussian wave packets

本研究将Rothe方法应用于氢原子波函数，用含时复值高斯波包基，以少量高斯函数复现了强场下高次谐波的精确网格计算谱，为强场含时电子结构理论及无玻恩-奥本海默近似的分子模拟奠定基础。

Fictitious time wave packet dynamics: I. Nondispersive wave packets in the quantum Coulomb problem

Nondispersive wave packets in a fictitious time variable are calculated analytically for the field-free hydrogen atom. As is well known by means of the Kustaanheimo-Stiefel transformation the Coulomb problem can be converted into that of a four-dimensional harmonic oscillator, subject to a constraint. This regularization makes use of a fictitious time variable, but arbitrary Gaussian wave packets in that time variable in general violate that constraint. The set of "restricted Gaussian wave packets" consistent with the constraint is constructed and shown to provide a complete basis for the expa…

Intrinsic multipole moments of the non-Gaussian wave packets

The charged wave packets with non-Gaussian spatial profiles are shown to possess intrinsic multipole moments. The magnetic dipole moment and the electric quadrupole moment are found for a wide class of the packets, including the vortex electrons with orbital angular momentum $\ell$, the Airy beams, the so-called Schrödinger's cat states, and their generalizations. For the packets with no phase vortices, the electric quadrupole moment is shown to grow quadratically with the packet's width, $|Q_{αβ}| \sim e\cdot σ_{\perp}^2$, while it is also $|\ell|$ times enhanced for the vortex beams. For ava…