Quantum properties of multipole radiation

In this study, multipole expansion of quantum electromagnetic radiation is constructed and quantized by canonical transformation with increasing demand of some modern research areas of physics such as entanglement of the orbital angular momentum states, novel experiments with trapped atoms, and the atomic and molecular transitions with given angular momentum. Also, the SU(2) invariance of quantum field and the rotational symmetry of vacuum noise of polarization with respect to source location are proved. It is shown that, at any point we can construct a proper frame in which the description of polarization is reduced to a conventional (2 × 2) polarization matrix. And peculiarities of electric and magnetic-type zero-point oscillations were examined, and as a result it is shown that the monochromatic zeropoint oscillations of all types and modes, have constant level in the volume of quantization. Finally, the complete local representation of photon operators, which correspond to the states of photons with given projection of angular momentum at any point, is constructed for the possible utility of near-field optics.