Timeline for Clifford Algebra in Dirac Equation
Current License: CC BY-SA 2.5
2 events
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| Mar 14, 2010 at 21:03 | comment | added | Eric O. Korman | In Dirac theory multiplication by i is allowed, so we can pass from (1,3) to (3,1) (I guess this comes from what you're saying about the wave fns being in the tensor prod of the real (s)pinor space with complex Hilbert space). But i has no counterpart in either Cl(1,3) or Cl(3,1) (both have trivial centers). The essence of my question is that by using C (which is necessary for classical QM) don't we disrespect the real Clifford structure (which is natural from Lorentz geometry). Is this necessary? It seems like quaternions could give a middle ground. | |
| Mar 14, 2010 at 18:13 | history | answered | José Figueroa-O'Farrill | CC BY-SA 2.5 |