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Relativistic free fields
Some aspects of linear field equations
11 other sections not shown
adjoint AM(x annihilation operators antiparticles arbitrary assume c-number calculation Chapter charge conjugation co(k commutation relation consequence creation and annihilation d(ip da(x daM(x dax(x defined denote derivative Dirac field discussed eigenvalue eigenvector employ energy equation of motion expressed field equation field operator field quantization field theory field with spin follows formula free fields given Green's function Heisenberg equation helicity Hence hermitian hermitian conjugate identity implies integrability interacting fields ip(x Klein-Gordon divisor Klein-Gordon equation Lagrangian Lorentz transformation momentum negative frequency neutrino non-singular matrix normal dependent terms number operator obeying obtain one-particle oo oo orthonormality particle photon physical prove quantization quantized field quantum relativistically invariant representation right-hand side rM(d rx(d S-matrix satisfies scalar Schroedinger solution space-like surface spinor substituting symmetric theorem tion U+(a uk(x Umezawa vacuum expectation value vanishes vector verified wave functions yields