Peter Krampl: Complex Nonlinear Quantum Systems |
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Complex Nonlinear Quantum Photonics in dependence of the matter symmetry
A non-linear potential model is suggested to the
exact description of non-linear quantum-optical systems and provided analytical
expressions.
The Liouville
equation delivers for the array
elements
a system of coupled differential equations for
which there is not any solution in analytically closed form. Here a method is suggested
and shown as one can reach an analytical solution with the aid of the quantum
mechanical Rayleigh- Schroedinger
perturbation theory with which it is possible
the non-linear one Electron-
to describe multiphoton
interaction exactly analytically about multiphoton ionization on
molecular level and to look so into a non-linear system shut at itself. For the non-linear hyperpolarizations
analytical solutions can be indicated in this way.