Churchill, R.C., Pecelli, G. and Rod, L. (1975) J. Diff. Eqs. 17, 329; (1977) J. Diff. Eqs. 24, 329; Churchill, R.C. and Rod, D.L. (1976) Ibid. 21, 39; (1976) Ibid. 21, 66; (1980) Ibid. 37, 23.

has been cited by the following article:

• 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.