/Users/barrand/private/dev/softinex/old/inexlib-1.2/inlib/inlib/a6z

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// Copyright (C) 2010, Guy Barrand. All rights reserved.
// See the file inlib.license for terms.

#ifndef inlib_a6z
#define inlib_a6z

#include "a6"

#include <complex>

namespace inlib {
namespace a6z {

// From the dirac spinor representation of the Lorentz group :
//   SpinRep_k = 1/8 * [gamma_mu,gamma_nu] * E4_k_mu_nu
// with k in [0,6[
class lorentz_dirac_metric : public sqm< std::complex<double> > {
public:
  typedef std::complex<double> z;
  lorentz_dirac_metric():sqm<z>(6) {
    set_value(0,0, 1);
    set_value(1,1, 1);
    set_value(2,2,-1);
    set_value(3,3, 1);
    set_value(4,4,-1);
    set_value(5,5,-1);
  }
};

// From the weyl spinor representation of the Lorentz group :
//   SpinRep_k = (pauli_1/2,pauli_2/2,pauli_3/2,
//                i*pauli_1/2,i*pauli_2/2,i*pauli_3/2)
//   k in [0,6[
class lorentz_weyl_metric : public sqm< std::complex<double> > {
public:
  typedef std::complex<double> z;
  lorentz_weyl_metric():sqm<z>(6){
    set_value(0,0, 0.5);
    set_value(1,1, 0.5);
    set_value(2,2,-0.5);
    set_value(3,3, 0.5);
    set_value(4,4,-0.5);
    set_value(5,5,-0.5);

    z zi(0,1);
    set_value(0,5, zi*0.5);
    set_value(1,4,-zi*0.5);
    set_value(2,3, zi*0.5);
    set_value(3,2, zi*0.5);
    set_value(4,1,-zi*0.5);
    set_value(5,0, zi*0.5);  
  }
};

}}

#endif