%0 Journal Article
%T Signature of chaos in the semi quantum behavior of a classically regular triple well heterostructure
%A Tiokeng Olivier Lekeufack
%A Serge Bruno Yamgoue
%A Timoleon Crepin Kofane
%J Natural Science
%P 145-154
%@ 2150-4105
%D 2010
%I Scientific Research Publishing
%R 10.4236/ns.2010.23024
%X We analyze the phenomenon of semiquantum chaos in the classically regular triple well model from classical to quantum. His dynamics is very rich because it provides areas of regular be-havior, chaotic ones and multiple quantum tun-neling depending on the energy of the system as the PlanckĄ¯s constant   varies from 0 to 1. The Time Dependent Variational Principle TDVP using generalized Gaussian trial wave function, which, in many-body theory leads to the Hartree Fock Approximation TDHF, is added to the tech-niques of Gaussian effective potentials and both are used to study the system. The extended  classical system with fluctuation variables non- linearly coupled to the average variables exhibit energy dependent transitions between regular behavior and semi quantum chaos monitored by bifurcation diagram together with some numerical indicators.
%K Nonlinear Dynamics
%K Semi Quantum Chaos
%K Effective Potential
%U http://www.scirp.org/journal/PaperInformation.aspx?PaperID=1560