کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6919238 1447802 2017 11 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Numerical implementation of the multiscale and averaging methods for quasi periodic systems
ترجمه فارسی عنوان
پیاده سازی عددی از روش های چند محوری و میانگین برای سیستم های نیمه پیاپی
کلمات کلیدی
راه حل عددی، پتانسیل وابسته به زمان، متوسطه چندسطحی،
موضوعات مرتبط
مهندسی و علوم پایه شیمی شیمی تئوریک و عملی
چکیده انگلیسی
We consider the problem of numerically solving the Schrödinger equation with a potential that is quasi periodic in space and time. We introduce a numerical scheme based on a newly developed multi-time scale and averaging technique. We demonstrate that with this novel method we can solve efficiently and with rigorous control of the error such an equation for long times. A comparison with the standard split-step method shows substantial improvement in computation times, besides the controlled errors. We apply this method for a free particle driven by quasi-periodic potential with many frequencies. The new method makes it possible to evolve the Schrödinger equation for times much longer than was possible so far and to conclude that there are regimes where the energy growth stops in-spite of the driving.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Computer Physics Communications - Volume 221, December 2017, Pages 235-245
نویسندگان
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