自由粒子在μ空间的运动描述
收稿日期: 2019-11-11
修回日期: 2020-02-19
网络出版日期: 2020-09-07
基金资助
国家自然科学基金( 11675051) 资助
On description of a free particle in μ-space
Received date: 2019-11-11
Revised date: 2020-02-19
Online published: 2020-09-07
班世豪, 张子奕, 王鑫, 刘全慧 . 自由粒子在μ空间的运动描述[J]. 大学物理, 2020 , 39(8) : 64 -67 . DOI: 10.16854 /j.cnki.1000-0712.190515
and actually equivalent descriptions for one-dimensional free particles. There are some errorous presentations in
some classic textbooks，and completed results are elucidated.In this paper，the trajectories of μ space are plotted
with analyzing the motion of free particles in a one-dimensional box and in full space in classical mechanics，respectivley.
Then，with examining particle motion in quantum mechanics under the condition of periodic boundary in full space and in an infinite depth well respectivley，we show that the same area element is occupied by each quantum state in μ space，irrespective of the different methods taken.Two related problems，the existence of the quantum state of zero-momnentum and relationship between the Heisenberg uncertainty principle and the area element for a quantum state to accommodate，are re-visited.
Key words： statistical physics; classical states; quantum states; μ space
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