Authors: Peter Krampl
For the exact description of nonlinear quantum optical systems, a nonlinear potential model is proposed and the associated nonlinear analytical expressions are provided. The Liouville equation provides for the matrix elements a system of coupled differential equations for which there is no solution in analytically closed form. Here, a method is proposed and shown how the quantum mechanical Rayleigh-Schrödinger perturbation calculus can be used to arrive at an analytic solution that can be used to accurately describe the nonlinear electron-multiphoton interaction by multiphoton ionization at the molecular level nonlinear system to look. For the nonlinear classical and quantum mechanical hyperpolarizations analytical solutions can be specified. The obtained nonlinear energy equations were modeled by means of singularities and fulfill the singularity equations in an excellent way.
Comments: 9 Pages.
[v1] 2019-09-30 14:20:00
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