2017/08/31 by Chyi-Lung Lin, Lin, Chyi-Lung
Physics and Astronomy · #FOS: Physical sciences #Nonlinear Photonic Systems #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.1708.09589
arxiv created 2017/08/31 · openalex publication_date 2017/08/31 · arxiv updated 2017/09/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show the method for constructing nonspreading wave packets whose shape and motion can be general. We analyze the time evolution of nonspreading wave packets by decomposing the Hamiltonian into two parts. Of the two, one changes the instantaneous state, the other does not. Through this decomposition, the time evolution operator is shown to be effectively a spatial shifting operator. This explains why nonspreading wave packets can be nonspreading. And we show that the part of the Hamiltonian which changes the instantaneous state governs the motion of the nonspreading wave packets.