Mathematical Physics


Intuitive Geometric Significance of Pauli Matrices and Others in a Plane

Authors: Hongbing Zhang

The geometric significance of complex numbers is well known, such as the meaning of imaginary unit i is to rotate a vector with pi/2, etc. In this article, we will try to find some intuitive geometric significances of Pauli matrices, split-complex numbers, SU(2), SO(3), and their relations, and some other operators often used in quantum physics, including a new method to lead to the spinor-space and Dirac equation.

Comments: 30 Pages.

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Submission history

[v1] 2017-10-15 23:37:12

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