Wath Time an Incident Wave Packet is Reflected?

2005/04/17 by Kh. Saaidi, Khaled Saaidi, Saaidi, Khaled
Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #FOS: Physical sciences #Quantum Mechanics and Non-Hermitian Physics #Quantum Physics (quant-ph) #Quantum chaos and dynamical systems #quant-ph

paper · pdf · doi:10.48550/arxiv.quant-ph/0504128

9 pages, latex, no figures

arxiv created 2005/04/17 · openalex publication_date 2005/04/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study the one dimensional time dependent Schrödinger equation for a potential step with E < V₀. We obtain the wave is not instantaneously reflected, but for a few moment of time the wave packet penetrate into inaccessible classically region and then reflected. So it is shown that one can write the peneterated wave paket as superposition of incident and reflected wave packets like.

Related

• Wave functions and characteristic times for transmission and reflection
• Wave functions and tunneling times for one-dimensional transmission and reflection
• Interaction time of a wave packet interact with a potential barrier
• Emergence of exponentially small reflected waves
• Analyses of reflection and transmission at moving potential step