- #1
Grufey
- 30
- 0
Hello
I'm reading my old notes of QM, I found the definition of Pauli vector, as follow
[tex]\vec{\sigma}=\sigma_1 e_x+\sigma_2e_y + \sigma_3 e_z[/tex]
Where [tex]e_x. e_y[/tex] and [tex]e_z[/tex] are unit vectors.
So, here is my question. [tex]\sigma_i[/tex] and [tex]e_i[/tex] are elements of different nature. How can we define the product [tex]\sigma_ie_i[/tex]??
I understand the idea, ok. But, mathematically don't seem right
Thanks in advance
I'm reading my old notes of QM, I found the definition of Pauli vector, as follow
[tex]\vec{\sigma}=\sigma_1 e_x+\sigma_2e_y + \sigma_3 e_z[/tex]
Where [tex]e_x. e_y[/tex] and [tex]e_z[/tex] are unit vectors.
So, here is my question. [tex]\sigma_i[/tex] and [tex]e_i[/tex] are elements of different nature. How can we define the product [tex]\sigma_ie_i[/tex]??
I understand the idea, ok. But, mathematically don't seem right
Thanks in advance