Quantum Optics as a Relativistic Theory of Light

Quantum theory of light and noise polarization in nonlinear optics.

We present a consistent quantum theory of the electromagnetic field in nonlinearly responding causal media, with special emphasis on Chi(2) media. Starting from QED in linearly responding causal media, we develop a method to construct the cubic Hamiltonian expressed in terms of the complex nonlinear susceptibility in a quantum mechanically consistent way. In particular, we show that the method ...

Relativistic Quantum Field Theory

A relativistic quantum theory of gravity

A relativistic quantum theory of gravity is proposed in which the gravitational interaction between particles is represented by distanceand velocity-dependent potentials. The Poincaré invariance, the cluster separability, and the causality of this approach are established. The Hamiltonian for interacting massive particles and photons is formulated within the c−2 approximation. The classical lim...

Quantum theory of charged-particle beam optics

Charged-particle beam optics, or the theory of transport of charged-particle beams through electromagnetic systems, is traditionally dealt with using classical mechanics. Though the classical treatment has been very successful, in designing and working of numerous charged-particle optical devices, it is natural to look for a deeper understanding based on the quantum theory, since any system is ...

Theory of dressed states in quantum optics

The dual Dyson series [M.Frasca, Phys. Rev. A 58, 3439 (1998)], is used to develop a general perturbative method for the study of atom-field interaction in quantum optics. In fact, both Dyson series and its dual, through renormalization group methods to remove secular terms from the perturbation series, give the opportunity of a full study of the solution of the Schrödinger equation in differen...