Spinors in Dirac's

[Amr Morsi]

c_oa(h/i grad epsi_spinor - q.A_v) + m_oc_ob.epsi_spinor + phi.epsi_spinor = -h/i partia_d(epsi)/partial_dt

 

What are the exact meaning of the elements of the spinor?

[granpa]

thats clifford algebra

 

http://geocalc.clas.asu.edu/

[ajb]

The Dirac gamma matrices form a representation of a Clifford algebra, the spinors are Grassmann odd in nature.

 

Amr Morsi, can you use LaTex to rewrite the equation you present? (It is the "old" way of writing the Dirac equation?)

 

I am not sure exactly how to answer your question. Dirac spinors are a two component spinor, they transform under the [math]\left(\frac{1}{2} , 0\right) \oplus \left(\frac{1}{2} , 0\right)[/math] of the Lorentz group.

[Amr Morsi]

You mean the Lagrangian. I don't know. But, I use this one. This is the applicable one. The other is the symbolic one. You are right.

 

Two or four components?!

[ajb]

I tend to think of them as having two components, which themselves are left-handed and right-handed Weyl spinor, or at leasts we can do this in even dimensions. So in four dimensions we can think of four components or two, depending on what you mean.

[Amr Morsi]

Some trends says that they represents wave functions (or probability currents in other trends) in the relative dimension.