a) The product of two Pauli matrices satisfies the following proper...

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a) The product of two Pauli matrices satisfies the following property: oioj = itijkitk + ij12 (1) Where i is the imaginary unit, tijk is the Levi-Civita tensor and Sij is the Kronecker delta. The Einstein summation is understood. Use eq (1) (and not the explicit matrix form) to show that, for a three vector p 0;0;PiP;=1072 = b) Gamma matrices satisfy the anti-commutation relation: = (2) Use it (and not the explicit representation of gamma matrices) to prove that, for a particle with four momentum p" and mass m pp = =

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