کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4604718 | 1337463 | 2009 | 23 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
Lyapunov control of a quantum particle in a decaying potential
دانلود مقاله + سفارش ترجمه
دانلود مقاله ISI انگلیسی
رایگان برای ایرانیان
موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله
چکیده انگلیسی
A Lyapunov-based approach for the trajectory generation of an N-dimensional Schrödinger equation in whole RN is proposed. For the case of a quantum particle in an N-dimensional decaying potential the convergence is precisely analyzed. The free system admitting a mixed spectrum, the dispersion through the absolutely continuous part is the main obstacle to ensure such a stabilization result. Whenever, the system is completely initialized in the discrete part of the spectrum, a Lyapunov strategy encoding both the distance with respect to the target state and the penalization of the passage through the continuous part of the spectrum, ensures the approximate stabilization.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 26, Issue 5, September–October 2009, Pages 1743-1765
Journal: Annales de l'Institut Henri Poincare (C) Non Linear Analysis - Volume 26, Issue 5, September–October 2009, Pages 1743-1765