Related Experiment Video
Updated: Aug 30, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Overlapping of nonlinear resonances and the problem of quantum chaos
A Ugulava1, L Chotorlishvili, K Nickoladze
1Tbilisi State University, Department of Physics, Chavchavadze Avenue 3, 0128 Tbilisi, Georgia.
Abstract:
The motion of a nonlinearly oscillating particle under the influence of a periodic sequence of short impulses is investigated. We analyze the Schrödinger equation for the universal Hamiltonian. It is shown that the quantum criterion of overlapping of resonances is of the form lambdaK>or=1, where K is the classical coefficient of stochasticity and lambda is the functional defined with the use of Mathieu functions. The area of the maximal values of lambda is determined. The idea about the emerging of quantum chaos due to the adiabatic motion along the curves of Mathieu characteristics at multiple passages through the points of branching is advanced.
Related Concept Videos
Interference and Superposition of Waves
Interference occurs in mechanical waves, such as sound waves, waves on a string, and surface water waves. Mechanical waves correspond to the physical displacement of particles. Hence,...
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
Sound Waves: Resonance
Sound Waves: Interference
Concept of Resonance and its Characteristics
Parallel Resonance
