Relativistic Quantum Theory – theoretical physics

  • PHOTONS
    • Quantisation of the free electromagnetic field
    • Photons
    • Gauge invariance
    • The electromagnetic field in quantum theory
    • The angular momentum and parity of the photon
    • Spherical waves of photons
    • The polarisation of the photon
    • A two-photon system
  • BOSONS
    • The wave equation for particles with spin zero
    • Particles and antiparticles
    • Strictly neutral particles
    • The transformations C, P and T
    • The wave equation for a particle with spin one
    • The wave equation for particles with higher integral spins
    • Helicity states of a particle
  • FERMIONS
    • Four-dimensional spinors
    • The relation between spinors and 4-vectors
    • Inversion of spinors
    • Dirac’s equation in the spinor representation
    • The symmetrical form of Dirac’s equation
    • Algebra of Dirac matrices
    • Plane waves
    • Spherical waves
    • The relation between the spin and the statistics
    • Charge conjugation and time reversal of spinors
    • Internal symmetry of particles and antiparticles
    • Bilinear forms
    • The polarisation density matrix
    • Neutrinos
    • The wave equation for a particle with spin 3/2
  • PARTICLES IN AN EXTERNAL FIELD
    • Dirac’s equation for an electron in an external field
    • Expansion in powers of 1/c
    • Fine structure of levels of the hydrogen atom
    • Motion in a centrally symmetric field
    • Motion in a Coulomb field
    • Scattering in a centrally symmetric field
    • Scattering in the ultra-relativistic case
    • The continuous-spectrum wave functions for scattering in a Coulomb field
    • An electron in the field of an electromagnetic plane wave
    • Motion of spin in an external field
    • Neutron scattering in an electric field
  • RADIATION
    • The electromagnetic interaction operator
    • Emission and absorption
    • Dipole radiation
    • §Electric multipole radiation
    • Magnetic multipole radiation
    • Angular distribution and polarisation of the radiation
    • Radiation from atoms: the electric type
    • Radiation from atoms: the magnetic type
    • Radiation from atoms: the Zeeman and Stark effects
    • Radiation from atoms: the hydrogen atom
    • Radiation from diatomic molecules: electronic spectra
    • Radiation from diatomic molecules: vibrational and rotational spectra
    • Radiation from nuclei
    • The photoelectric effect: non-relativistic case
    • The photoelectric effect: relativistic case
    • Photodisintegration of the deuteron
    • Synchrotron radiation
  • SCATTERING OF RADIATION
  • THE SCATTERING MATRIX
  • INVARIANT PERTURBATIONS THEORY
  • INTERACTION OF ELECTRONS
  • INTERACTIONS OF ELECTRONS WITH PHOTONS
  • APPENDIX