کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
521333 867763 2008 7 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Precise numerical solutions of potential problems using the Crank–Nicolson method
موضوعات مرتبط
مهندسی و علوم پایه مهندسی کامپیوتر نرم افزارهای علوم کامپیوتر
پیش نمایش صفحه اول مقاله
Precise numerical solutions of potential problems using the Crank–Nicolson method
چکیده انگلیسی

We present a numerically precise treatment of the Crank–Nicolson method with an imaginary time evolution operator in order to solve the Schrödinger equation. The time evolution technique is applied to the inverse-iteration method that provides a systematic way to calculate not only eigenvalues of the ground-state but also of the excited-states. This method systematically produces eigenvalues with the accuracy of eleven digits when the Cornell potential is used. An absolute error estimation technique is implemented based on a power counting rule. This method is examined on exactly solvable problems and produces the numerical accuracy down to 10-1110-11.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Computational Physics - Volume 227, Issue 5, 20 February 2008, Pages 2970–2976
نویسندگان
, ,