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Analysis of the Toolkit method for the time-dependant Schr\'odinger equation
- Publication Year :
- 2009
-
Abstract
- The goal of this paper is to provide an analysis of the ``toolkit'' method used in the numerical approximation of the time-dependent Schr\"odinger equation. The ``toolkit'' method is based on precomputation of elementary propagators and was seen to be very efficient in the optimal control framework. Our analysis shows that this method provides better results than the second order Strang operator splitting. In addition, we present two improvements of the method in the limit of low and large intensity control fields.
- Subjects :
- Mathematics - Optimization and Control
65M12, 35Q
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.0907.2200
- Document Type :
- Working Paper