Hamiltonian suspensions of symplectomorphisms: an alternative approach to design problems
| Autor: | Paul J. Channell |
|---|---|
| Rok vydání: | 1999 |
| Předmět: |
Discrete mathematics
Statistical and Nonlinear Physics Condensed Matter Physics Hamiltonian system Algebra symbols.namesake symbols Covariant Hamiltonian field theory Superintegrable Hamiltonian system Hamiltonian (quantum mechanics) Symplectomorphism Mathematics::Symplectic Geometry Moment map Symplectic geometry Hamiltonian path problem Mathematics |
| Zdroj: | Physica D: Nonlinear Phenomena. 127:117-130 |
| ISSN: | 0167-2789 |
| Popis: | We solve the problem that often arises in optics and charged particle transport design tasks of finding a time-dependent Hamiltonian system that produces a given symplectic map. In addition, we show how, given a particular Hamiltonian, to produce many Hamiltonians that have the same time-one map so that one has a large class of Hamiltonians from which to choose the ‘best’ design. We also show how to produce many symplectic maps that are given explicitly rather than implicitly so that the design problem is more tractable. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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