کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
519414 | 867664 | 2010 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials
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موضوعات مرتبط
مهندسی و علوم پایه
مهندسی کامپیوتر
نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
![عکس صفحه اول مقاله: Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials Bloch decomposition-based Gaussian beam method for the Schrödinger equation with periodic potentials](/preview/png/519414.png)
چکیده انگلیسی
The linear Schrödinger equation with periodic potentials is an important model in solid state physics. The most efficient direct simulation using a Bloch decomposition-based time-splitting spectral method [18] requires the mesh size to be O(ϵ)O(ϵ) where ϵϵ is the scaled semiclassical parameter. In this paper, we generalize the Gaussian beam method introduced in Jin et al. [23] to solve this problem asymptotically. We combine the technique of Bloch decomposition and the Eulerian Gaussian beam method to arrive at an Eulerian computational method that requires mesh size of O(ϵ). The accuracy of this method is demonstrated via several numerical examples.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 229, Issue 13, 1 July 2010, Pages 4869–4883
Journal: Journal of Computational Physics - Volume 229, Issue 13, 1 July 2010, Pages 4869–4883
نویسندگان
Shi Jin, Hao Wu, Xu Yang, Zhongyi Huang,