Abstract:

In quantum optics, the Heisenberg picture, in which the optical fields can be treated as conjugate positions and momenta of quantized harmonic oscillators, as it is easy to substitute optical fields in classical electromagnetic problems with noncummutative operators and obtain the Heisenberg equations of motion. Once the operator equations are solved, it is possible obtain various quantum properties of the optical fields via noncommutative algebra. The Heisenberg picture is often not without shortcomings. It’s difficulties have lead to a growing appreciation of the Schrödinger picture, where the photons are treated as an ensemble of bosons and the evolution of the many-photon probability can be used. This is more intuitive approach that has lead to great success in the quantum theory of solitons. Instead of solving the formidable nonlinear operator equations, we can obtain analytic solutions from the linear boson equations in plasmatic the Schrödinger picture which lead to the theory of Plasmatic Moving Frames.