Classical and quantum modes of coupled Mathieu equations

DOI10.1088/1751-8113/45/45/455305zbMath1267.81142arXiv1206.0716OpenAlexW3106493904MaRDI QIDQ4920347

H. Landa, Benni Reznik, Michael Drewsen, Alex Retzker

Publication date: 17 May 2013

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1206.0716

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Nonlinear oscillations and coupled oscillators for ordinary differential equations (34C15) Special ordinary differential equations (Mathieu, Hill, Bessel, etc.) (34B30) Synchronization of solutions to ordinary differential equations (34D06)

Related Items (4)

Method for Finding the Exact Effective Hamiltonian of Time‐Driven Quantum Systems ⋮ The physics and applications of strongly coupled Coulomb systems (plasmas) levitated in electrodynamic traps ⋮ Stability of a Class of Coupled Hill's Equations and the Lorentz Oscillator Model ⋮ On the properties of a class of higher-order Mathieu equations originating from a parametric quantum oscillator

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