A simple approach is proposed for the quantization of the electromagnetic field in nonlinear and inhomogeneous media. Given the dielectric function and nonlinear susceptibilities, the Hamiltonian of the electromagnetic field is determined completely by this quantization method. From Heisenberg’s equations we derive Maxwell’s equations for the field operators. When the nonlinearity goes to zero,...

The notion of induced second quantization is introduced as an unavoidable aspect of the induction procedure for metric and spinor connection, which is the key element of TGD. Induced second quantization provides insights about the QFT limit, about generalizes Feynman diagrammatics, and about TGD counterpart of second quantization of strings which appear in TGD as emergent objects. Zero energy o...

Quantum chemists we are seldom concern with phenomena involving variations in the number of particles, so they do not need to resort to quantum field theories to lay the foundations of their work (one exception are certain spectroscopic phenomena with require a quantum description of electromagnetic radiation). The standard quantum mechanic theory for material particles is then a sufficient bas...

This work addresses the general procedure of quantization also known as Berezin-Klauder-Toeplitz quantization, or coherent state (CS) (anti-Wick) quantization. The method is first illustrated by motion a particle on circle. Then, we take second example, set generalized photon-added states related to associated hypergeometric functions. nonclassical behaviour this investigated.