Author(s)

Tiokeng Olivier Lekeufack, Serge Bruno Yamgoue, Timoleon Crepin Kofane

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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 Planck’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.

Nonlinear Dynamics; Semi Quantum Chaos; Effective Potential

Lekeufack, T. , Yamgoue, S. and Kofane, T. (2010) Signature of chaos in the semi quantum behavior of a classically regular triple well heterostructure. Natural Science, 2, 145-154. doi: 10.4236/ns.2010.23024.