We consider an approach in which the usual wave function quadrature representation of mode j electromagnetic field is further quantized to produce a operator. Since already second quantized, this corresponds additional or third quantization. The third-quantization can be used perform certain quantum optics calculations Heisenberg picture that could only performed Schrodinger when using conventi...

The coherence properties of the classical waves are discussed in terms Cauchy problem for wave equation, and a discrete representation by an ensemble Hamiltonian systems. Wave quanta related to specific "action fields", phase-space distributions phonons photons obtained Wigner transform. For thermal environment, proposed function evolves towards Planck equilibrium distribution. It is shown that...