کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
519250 867648 2010 26 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Fast Gaussian wavepacket transforms and Gaussian beams for the Schrödinger equation
چکیده انگلیسی

This paper introduces a wavepacket-transform-based Gaussian beam method for solving the Schrödinger equation. We focus on addressing two computational issues of the Gaussian beam method: how to generate a Gaussian beam representation for general initial conditions and how to perform long time propagation for any finite period of time. To address the first question, we introduce fast Gaussian wavepacket transforms and develop on top of them an efficient initialization algorithm for general initial conditions. Based on this new initialization algorithm, we address the second question by reinitializing the beam representation when the beams become too wide. Numerical examples in one, two, and three dimensions demonstrate the efficiency and accuracy of the proposed algorithms. The methodology can be readily generalized to deal with other semi-classical quantum mechanical problems.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 229, Issue 20, 1 October 2010, Pages 7848–7873
نویسندگان
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