Non-Perturbative Treatment of Quantum Mathieu Oscillator  

作　　者：Mohammed Janati Idrissi Abdelaziz Fedoul Salaheddine Sayouri 

机构地区：[1]Laboratory of Theoretical and Applied Physics, Faculty of Sciences Dhar Al Mahraz, University of Sidi Mohamed Ben Abdel-lah, Fez, Morocco

出　　处：《Journal of Applied Mathematics and Physics》2020年第4期698-709,共12页应用数学与应用物理（英文）

摘　　要：We study the evolution in time of the quantum Mathieu oscillator (QMO), according to the motion of a charged particle in a radio frequency Paul trap. We adopt non-perturbative treatment based on the quantized Floquet formalism together with the resonating averages method (RAM). We prove that we can develop solutions of the time-dependent Schrödinger equation of such a system, in terms of the simple harmonic oscillator wave functions. Numerical simulations of the analytical results are performed to show the coherence and the squeezed proprieties of the wave-packet of this system.We study the evolution in time of the quantum Mathieu oscillator (QMO), according to the motion of a charged particle in a radio frequency Paul trap. We adopt non-perturbative treatment based on the quantized Floquet formalism together with the resonating averages method (RAM). We prove that we can develop solutions of the time-dependent Schrödinger equation of such a system, in terms of the simple harmonic oscillator wave functions. Numerical simulations of the analytical results are performed to show the coherence and the squeezed proprieties of the wave-packet of this system.

关 键 词：FLOQUET Theorem Resonating AVERAGES Mathieu OSCILLATOR PAUL TRAP 

分 类 号：O17[理学—数学]