2019/02/06 by István Magashegyi, Istvan Magashegyi, Magashegyi, Istvan +6
Mathematics · Physics and Astronomy · #Atomic and Molecular Physics #Charge (physics) #Computational physics #Excitation #FOS: Physical sciences #Fourier transform #Geometry #Laser-Matter Interactions and Applications #Laser-Plasma Interactions and Diagnostics #Mathematics #Optics #Physics #Plane (geometry) #Plane wave #Quantum Physics (quant-ph) #Quantum mechanics #Superposition principle #Wave packet #quant-ph
paper · pdf · doi:10.48550/arxiv.1902.02435
published in arXiv (Cornell University) (Cornell University) · 8 pages, 5 figures
arxiv created 2019/02/06 · openalex publication_date 2019/02/06 · arxiv updated 2019/02/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We consider the superposition of plane waves and localized wave packets. This kind of wave function can result from a local excitation of a particle described by a plane wave. For charged particles, the wave packet means a current, the time integral of which results in an extra charge, additionally to the one carried by the plane wave. When the duration of the wave packet is too short for its details to be resolved experimentally, it is the extra charge that can be determined and analyzed for information regarding the nature of the interaction that created the wave packet. Assuming that the wave function is known initially, we show an analytic method for the calculation of the extra charge by the aid of Fourier transform. Our approach is verified by comparing to both the well-known case of a Gaussian wave packet and numerically obtained results. As an important physical example, finally we consider the case of local excitation by laser pulses.