Peter Krampl: Complex Nonlinear Quantum Systems
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Complex Nonlinear Quantum Photonics in dependence of the matter symmetry

Abstract

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[array elements|matrix 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<A[about|over]> 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.

 

 

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Copyright © 2008, 2009, 2010, 2011 2012 by Peter Krampl,  www.mathematical-photonics.com. The contents-related compilation<A[compilation|arrangement]> and getup of this publication as well as the electronic processing are author-legally protected. Every utilization that is not explicit admitted by the copyright law needs the previous, written approval expressly. That is valid in particular for the publication, copy<A[copy|duplication]>, the processing and saving and processing into electronic systems, every form of the industrial use, use as a basis<A[basis|element]> for teaching-events, as well as the transmitting to third party - also in parts or in reworked form. The copyright for here published, objects constructed by the author himself stays only with the author of these pages<A[pages|sides]>.