2003/01/29 by Wenhua Hai, Hai, Wenhua, Shengxun Huang +3
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Gyrotron and Vacuum Electronics Research #Nonlinear Dynamics and Pattern Formation #Quantum Physics (quant-ph) #quant-ph
paper · pdf · doi:10.48550/arxiv.quant-ph/0301156
4 pages, 3 figures
arxiv created 2003/01/29 · openalex publication_date 2003/01/29 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
By using a test-function method, we construct n exact solutions of a quantum harmonic oscillator with a time-dependent "spring constant". Any n-th solution describes a wave-packet train consisting of n+1 packets. Its center oscillates like the classically harmonic oscillator with variable frequency, and width and highness of each packet change simultaneously. When the deformation is small, it behaves like a soliton train, and the large deformation is identified with collapse and revival of the wave-packet train.