Symmetric approximations for the evolution operator
β Scribed by T.Yu. Mikhailova; V.I. Pupyshev
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 62 KB
- Volume
- 257
- Category
- Article
- ISSN
- 0375-9601
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β¦ Synopsis
The Lie-algebra technique is employed to construct symmetric expansions for the evolution operator of a molecular i Ε½ Ε½ . . 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.
π SIMILAR VOLUMES
Symplectic integrators are numerical schemes for autonomous Hamiltonian systems that preserve exactly the phase space structure (i.e. Poincar6 invariants). Conservation of symplectic structure is connected to fundamental properties of evolution of mechanical systems both in classical realm (Liouvill
We give an intrinsic characterization of an operator K recently introduced for relating the Lagrangian and Hamiltonian constraints and describing the hme evolution of functions in T\*Q in terms of those of TQ. Its most remarkable properties are also studied.