自旋
旋转至
的相似变换可视化
收稿日期: 2022-08-23
修回日期: 2022-11-17
网络出版日期: 2023-09-04
基金资助
浙江省自然科学基金重点项目(LZ21A040001);国家自然科学基金(12074344)资助
Visualization of similarity transformation with spin
rotating to 
Received date: 2022-08-23
Revised date: 2022-11-17
Online published: 2023-09-04
张毅, 梁兆新
. 自旋
旋转至
的相似变换可视化[J]. 大学物理, 2023
, 42(8)
: 55
.
DOI: 10.16854/j.cnki.1000-0712.220422
. Finding a visual example to demonstrate this property of the electron spin is the key and difficult point in quantum mechanics teaching. In this work, the similarity transformation is used to rotate
to
which represents an arbitrary direction in the spin space by constructing three different rotation operators, and then the eigenvalue of the spin S^n is verified to be
. Additionally, this paper shows the advantages and disadvantages of the three rotation operators in verifying the basic properties of the spin.Key words: spin; rotation operator; group SO(3); group SU(2); similarity transformation
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