Manifestations of classical phase space structures in quantum mechanics

O Bohigas, S Tomsovic, D Ullmo - Physics Reports, 1993 - Elsevier
Using two coupled quartic oscillators for illustration, the quantum mechanics of simple
systems whose classical analogs have varying degrees of non-integrability is investigated …

A novel image encryption scheme based on conservative hyperchaotic system and closed-loop diffusion between blocks

M Zhou, C Wang - Signal Processing, 2020 - Elsevier
Dissipative chaotic systems have been widely used in digital image encryption schemes in
the past 20 years. However, compared to conservative chaotic systems, the dissipative …

[图书][B] Quantum control of molecular processes

M Shapiro, P Brumer - 2012 - books.google.com
Written by two of the world's leading researchers in the field, this is a systematic introduction
to the fundamental principles of coherent control, and to the underlying physics and …

Coherent control of molecular dynamics

M Shapiro, P Brumer - Reports on Progress in Physics, 2003 - iopscience.iop.org
We review the principles and some recent advances in the theory of coherent control of
molecular processes and discuss some of its experimental realizations. Amongst the topics …

Stability transformation: a tool to solve nonlinear problems

D Pingel, P Schmelcher, FK Diakonos - Physics Reports, 2004 - Elsevier
We present an analysis of the properties as well as the diverse applications and extensions
of the method of stabilisation transformation. This method was originally invented to detect …

Semiclassical propagation for multidimensional systems by an initial value method

KG Kay - The Journal of chemical physics, 1994 - pubs.aip.org
A semiclassical initial value technique for wave function propagation described by Herman
and Kluk [Chem. Phys. 91, 27 (1984)] is tested for systems with two degrees of freedom. It is …

Modelings and mechanism analysis underlying both the 4D Euler equations and Hamiltonian conservative chaotic systems

G Qi - Nonlinear Dynamics, 2019 - Springer
Four sub-Euler equations for four sub-rigid bodies are generalized by extending the
dimension of the state space from 3D to 4D. Six integrated 4D Euler equations are proposed …

Classical structures in the quantized baker transformation

M Saraceno - Annals of Physics, 1990 - Elsevier
We study the role of periodic trajectories and other classical structures on single
eigenfunctions of the quantized version of the baker's transformation. Due to the simplicity of …

Random matrix theories and chaotic dynamics

O Bohigas - 1991 - inis.iaea.org
The aim of these lectures is to present a résumé of some of the main ideas, assumptions and
results of the Wigner-Dyson type random matrix theories (RMT) which are relevant in the …

[HTML][HTML] Modeling of a Hamiltonian conservative chaotic system and its mechanism routes from periodic to quasiperiodic, chaos and strong chaos

G Qi, J Hu, Z Wang - Applied Mathematical Modelling, 2020 - Elsevier
In this paper, the important role of 3D Euler equation playing in forced-dissipative chaotic
systems is reviewed. In mathematics, rigid-body dynamics, the structure of symplectic …