Springer Science & Business Media, 1996 - Computers - 440 pages
Field Quantization is a thorough introduction to the physical ideas and techniques of this subject, starting from an elementary level. The initial chapters deal with the quantum mechanics of systems having many degrees of freedom and with classical Lagrangian field theory. Subsequently, both the traditional method of canonical quantization and the modern approach using path integrals are studied. The material is presented in considerable detail and accompanied by a large number of worked examples and exercises.
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according angular-momentum annihilation operators anticommutation antiparticles boson calculation canonical quantization canonically conjugate field charge coefficients commutation relations components condition constructed contains contributions coordinates covariant creation and annihilation creation operators defined delta function dependence described Dirac field eigenstates electrodynamics electromagnetic field energy equation of motion evaluate Example Exercise expansion expressed in terms fermion Feynman propagator field operator Fourier functional derivative gauge Gaussian integral Grassmann Green's function Hamiltonian Heisenberg Heisenberg picture hermitean Hilbert space insert integrand introduced invariant Klein-Gordon equation Klein-Gordon field Lagrange density Lagrangian leads Lorentz matrix element momentum operator momentum space obtained path integral phase factor photon physical plane waves Poisson brackets polarization vectors problem properties quantum field theory quantum mechanics reads result satisfy scalar field Schrodinger Sect Solution spin spinors symmetry tensor time-ordered product tion transformation transverse vacuum expectation value vanish variables vector field wave function