大学物理 ›› 2025, Vol. 44 ›› Issue (8): 19-.doi: 10.16854/j.cnki.1000-0712.240439

• 教学讨论 • 上一篇    下一篇

量子系统体积膨胀过程中的能量变化与输出功

毛长荣,褚玉芳,谢芳,李琛   

  1. 1. 宜春市第三中学,江西宜春336000;2. 宜春学院 物理科学与工程技术学院,江西宜春336000
  • 收稿日期:2024-10-06 修回日期:2025-03-05 出版日期:2025-11-03 发布日期:2025-11-11
  • 作者简介:毛长荣(1982—),男,江西半城人,主要从事物理教学和研究工作.
  • 基金资助:
    江西省社会科学基金项目(24SH15D)、国家自然科学基金(12164049)、江西省教育厅科技项目(GJJ2201702)、江西省高等学校教学改革研究课题(JXJG231527)资助

Energy variation and output work in the volume expansion of quantum systems

MAO Changrong 1, CHU Yufang2, XIE Fang2, LEE Chern2   

  1. 1. Yichun No.3 High School, Yichun, Jiangxi 336000, China; 
    2. College of Physical Science and Engineering Technology, Yichun College, Yichun, Jiangxi 336000, China

  • Received:2024-10-06 Revised:2025-03-05 Online:2025-11-03 Published:2025-11-11

摘要: 在经典系统中,当自由粒子所处的体积发生膨胀时,总是会对外界输出正功;然而,在相同条件下,量子系统的体积膨胀并不一定输出正功,这取决于膨胀的速度.本文探讨了无限深势阱壁在有限匀速膨胀过程中对外输出功的特性.计算结果表明,势阱壁移动速度越快,总的输出功越小.


关键词: 量子系统, 无限深势阱, 输出功

Abstract:  In classical systems, when the volume occupied by a free particle expands, positive work is always done on the surroundings. However, under the same conditions, the expansion of a quantum system does not necessarily result in positive work; this depends on the speed of the expansion. This paper explores the characteristics of the work output during the finite uniform expansion of the walls of an infinite potential well. The calculations show that the faster the walls of the potential well move, the smaller the total work output.


Key words:  quantum system, infinite potential well, output work