Transfer formalism for quantum optics problems

ua nt - p h / 99 10 01 3 v 1 4 O ct 1 99 9 Transfer formalism for quantum optics problems

Consistent quantum formalism based on the localized basis of the Wannirer functions in Heisen-berg and Schrodinger pictures to describe propagation of electromagnetic field in a three dimensional media including diffraction is presented. In the Schrodinger picture the Fokker-Planck equation for the Glauber-Sudarshan quasiprobability and corresponding Langevin equations are given. As result the ...

Generalized Hamiltonian Formalism in Nonlinear Optics

The basic mathematical apparatus of nonlinear optics consists of an array of nonlinear PDEs for the complex amplitudes of an envelope of interacting wave trains. In the general case, these equations include linear and nonlinear dissipative terms. However, in many important cases, they are small and can be neglected: therefore the equations are conservative, and the medium is transparent. Accord...

Maxwell Optics: II. An Exact Formalism

We present a formalism for light optics starting with the Maxwell equations and casting them into an exact matrix form taking into account the spatial and temporal variations of the permittivity and permeability. This 8 × 8 matrix representation is used to construct the optical Hamiltonian. This has a close analogy with the algebraic structure of the Dirac equation, enabling the use of the rich...

The Quantum Formalism and the GRW Formalism

The Ghirardi–Rimini–Weber (GRW) theory of spontaneous wave function collapse is known to provide a quantum theory without observers, in fact two different ones by using either the matter density ontology (GRWm) or the flash ontology (GRWf). Both theories are known to make predictions different from those of quantum mechanics, but the difference is so small that no decisive experiment can as yet...

Quantum Optics