کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
11023903 | 1701236 | 2019 | 21 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solving Schrödinger equation in semiclassical regime with highly oscillatory time-dependent potentials
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
Schrödinger equations with time-dependent potentials are of central importance in quantum physics and theoretical chemistry, where they aid in the simulation and design of systems and processes at atomic and molecular scales. Numerical approximation of these equations is particularly difficult in the semiclassical regime because of the highly oscillatory nature of solution. Highly oscillatory potentials such as lasers compound these difficulties even further. Altogether, these effects render a large number of standard numerical methods less effective in this setting. In this paper we will develop a class of exponential splitting schemes that allow us to use large time steps in our schemes even in the presence of highly oscillatory potentials and solutions. These are derived by combining the advantages of integral-preserving simplified-commutator Magnus expansions with those of symmetric Zassenhaus splittings. The efficacy of these methods is demonstrated through 1D, 2D and 3D numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 376, 1 January 2019, Pages 564-584
Journal: Journal of Computational Physics - Volume 376, 1 January 2019, Pages 564-584
نویسندگان
Arieh Iserles, Karolina Kropielnicka, Pranav Singh,