کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
522695 | 867846 | 2007 | 10 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Solution of time-independent Schrödinger equation by the imaginary time propagation method
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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: Solution of time-independent Schrödinger equation by the imaginary time propagation method Solution of time-independent Schrödinger equation by the imaginary time propagation method](/preview/png/522695.png)
چکیده انگلیسی
Numerical solution of eigenvalues and eigenvectors of large matrices originating from discretization of linear and non-linear Schrödinger equations using the imaginary time propagation (ITP) method is described. Convergence properties and accuracy of 2nd and 4th order operator-splitting methods for the ITP method are studied using numerical examples. The natural convergence of the method is further accelerated with a new dynamic time step adjustment method. The results show that the ITP method has better scaling with respect to matrix size as compared to the implicitly restarted Lanczos method. An efficient parallel implementation of the ITP method for shared memory computers is also demonstrated.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 221, Issue 1, 20 January 2007, Pages 148–157
Journal: Journal of Computational Physics - Volume 221, Issue 1, 20 January 2007, Pages 148–157
نویسندگان
L. Lehtovaara, J. Toivanen, J. Eloranta,