大学物理 ›› 2025, Vol. 44 ›› Issue (3): 5-.doi: 10.16854/j.cnki.1000-0712.240335

• 教学讨论 • 上一篇    下一篇

缺陷Dirac梳中波包散射问题的研究

邓志姣,程航 ,沈咏,施帅,陈平形   

  1. 国防科技大学 理学院量子信息研究所,湖南 长沙410073
  • 收稿日期:2024-07-23 修回日期:2024-10-22 出版日期:2025-05-09 发布日期:2025-05-29
  • 作者简介:邓志姣(1980—),女,湖南衡东人,国防科技大学理学院量子信息研究所教授、博士、主要从事量子力学、大学物理的教学及量子光学的研究工作
  • 基金资助:
    湖南省普通高等学校教学改革项目(202401000281)资助

Study on the wave packet scattering in defective Dirac comb

DENG Zhijiao, CHENG Hang, SHEN Yong, SHI Shuai, CHEN Pingxing   

  1. Institute for Quantum Science and Technology, College of Science, National University of Defense Technology, Changsha, Hunan 410073, China
  • Received:2024-07-23 Revised:2024-10-22 Online:2025-05-09 Published:2025-05-29

摘要: 微观粒子在周期势场中的运动是量子力学和固体物理教学中都会涉及到的重要内容.本文基于缺陷Dirac梳模型,研究了波包在周期势场中发生散射的能谱结构以及典型特点,可作为量子力学教学内容的延伸,以帮助学生在后续固体物理的学习中建立清晰的物理图像.

关键词: 缺陷Dirac梳, 传输矩阵, 波包散射

Abstract: The motion of microscopic particle in a periodic potential is an important content in the teaching of quantum mechanics and solid state physics. Based on the defective Dirac comb model, this paper studies the energy spectrum structure and typical characteristics of the wave packet scattering in the periodic potential, which can be used as an extension content in the teaching of quantum mechanics, so as to help students establish clear physical picture in the subsequent study of solid state physics.

Key words: defective Dirac comb, transfer matrix, wave packet scattering