2013/06/06 by Chyi-Lung Lin, Lin, Chyi-Lung
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Nonlinear Photonic Systems #Orbital Angular Momentum in Optics #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1306.1311
arxiv created 2013/06/06 · openalex publication_date 2013/06/06 · arxiv updated 2013/06/07 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We discuss the propagation dynamics of nonspreading wave packets. We decompose the Hamiltonian into two parts. The first part is such that wave packets is its instantaneous eigenstate and is therefore irrelevant to the propagation of the packet. The second part is shown to be the effective Hamiltonian governing the motion of the packet both classically and quantum mechanically. Thus, analogous to Ehrenfest's theorem, nonspreading wave packets offer another view point directly connecting quantum mechanics and classical mechanics. This analysis also works for non-square-integrable packets, such as Airy packets.