Approximation of regularized evolution operators
โ Scribed by Naoki Tanaka
- Publisher
- Springer
- Year
- 2003
- Tongue
- English
- Weight
- 142 KB
- Volume
- 81
- Category
- Article
- ISSN
- 0003-889X
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๐ SIMILAR VOLUMES
The Lie-algebra technique is employed to construct symmetric expansions for the evolution operator of a molecular i ลฝ ลฝ . . system with the Hamiltonian H q V. An efficient representation for the evolution operator exp y H q V t s 0 0 up to the fifth order in time.
We define the concept of an A-regularized approximation process and prove for it uniform convergence theorems and strong convergence theorems with optimal and non-optimal rates. The sharpness of non-optimal convergence is also established. The general results provide a unified approach to dealing wi