Finding Exponential Product Formulas of Higher Orders
Hatano, Naomichi ; Suzuki, Masuo
arXiv, 0506007 / Harvested from arXiv
Text on arXiv
In the present article, we review a continual effort on generalization of the Trotter formula to higher-order exponential product formulas. The exponential product formula is a good and useful approximant, particularly because it conserves important symmetries of the system dynamics. We focuse on two algorithms of constructing higher-order exponential product formulas. The first is the fractal decomposition, where we construct higher-order formulas recursively. The second is to make use of the quantum analysis, where we compute higher-order correction terms directly. As interludes, we also have described the decomposition of symplectic integrators, the approximation of time-ordered exponentials, and the perturbational composition.
Publié le : 2005-06-02
Classification:  Mathematical Physics,  Condensed Matter - Statistical Mechanics,  Physics - Computational Physics,  Quantum Physics,  41A35,  82C80,  65P10 
@article{0506007,
     author = {Hatano, Naomichi and Suzuki, Masuo},
     title = {Finding Exponential Product Formulas of Higher Orders},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0506007}
}

Hatano, Naomichi; Suzuki, Masuo. Finding Exponential Product Formulas of Higher Orders. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0506007/