https://doi.org/10.1140/epjd/e2008-00084-4
Quantum chaology in the multiple well adjustable potential hetero-structure
Laboratoire de Mécanique, Département de Physique, Faculté des Sciences, Université de Yaoundé I, BP 812, Yaoundé, Cameroun
Corresponding author: a lekeufackolivier@yahoo.fr
Received:
26
October
2007
Revised:
2
March
2008
Published online:
7
May
2008
We analyse the phenomenon of quantum chaology in the polynomial classically regular multiple well model. The Time Dependent variational principle using generalised Gaussian trial wave function, which, in many-body theory, leads to the Time Dependent Hartree Fock approximation (TDHF), is used to study the system. The extended classical system with fluctuation variables non-linearly coupled to the average variables exhibit, with respect to the odd or even values of the adjustable order of non linearity m, energy dependent transitions between regular behaviour and semi quantum chaos monitored by Poincaré sections, return map and phase portraits.
PACS: 05.45.Mt – Quantum chaos; semiclassical methods / 05.45.Pq – Numerical simulations of chaotic systems / 31.15.xg – Semiclassical Methods
© EDP Sciences, Società Italiana di Fisica, Springer-Verlag, 2008
