Relativistic Electron Theory

amplitudes angular momentum anticommutes applies beta decay Born approximation central field charge conjugation commutation rules complex conjugate components consider constant corresponding Coulomb Coulomb field covariant d³x defined density density matrix diagonal Dirac equations Dirac matrices discussed eigenfunctions eigenvalue electromagnetic field electron emission equation of motion evaluated factor follows four-component four-vector free particle ƒ and g given gives Hamiltonian helicity Hence hermitian hermitian conjugate integral interaction j₁ linear Lorentz transformation magnetic matrix elements multiplying negative energy neutrino normalization notation nuclear nucleus obtain P+(p Pauli phase Phys plane wave polarization positive energy positron problem projection operators quantum r₁ radial functions relativistic replaced result rotation scalar scattering solutions spinor term theory two-component u₁ u₂ unit matrix unit vector unitary velocity wave equation wave function write zero μν