TITLE:
Signature of chaos in the semi quantum behavior of a classically regular triple well heterostructure
AUTHORS:
Tiokeng Olivier Lekeufack, Serge Bruno Yamgoue, Timoleon Crepin Kofane
KEYWORDS:
Nonlinear Dynamics; Semi Quantum Chaos; Effective Potential
JOURNAL NAME:
Natural Science,
Vol.2 No.3,
April
12,
2010
ABSTRACT: 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.