Instability zones in the dynamics of a quantum mechanical quasiperiodic parametric oscillator

被引：1

作者：

Biswas, Subhadip ^{[1
]}

Chowdhury, Pratyusha ^{[2
]}

Bhattacharjee, Jayanta K. ^{[3
]}

机构：

[1] Univ Sheffield, Dept Phys & Astron, Sheffield S3 7RH, S Yorkshire, England

[2] Indian Inst Technol Guwahati, Dept Phys, Gauhati 781039, Assam, India

[3] Indian Assoc Cultivat Sci, Dept Theoret Phys, Kolkata 700032, India

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2021年 / 93卷

关键词：

Quasiperiodic oscillator; Quasiperiodic Mathieu; Quasiperiodic variance; Sub-harmonic resonance; Semi classical-quantum dynamics; REDUCIBILITY; THEOREM;

D O I：

10.1016/j.cnsns.2020.105537

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Quasiperiodically driven quantum parametric oscillators have been the subject of several recent investigations. Here we show that for such oscillators, the instability zones of the mean position and variance (alternatively the mean energy) for a time developing wave packet are identical for the strongest resonance in the three-dimensional parameter space of the quasiperiodic modulation as it is for the two-dimensional parameter space of the periodic modulations. (C) 2020 Elsevier B.V. All rights reserved.

引用

页数：13

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