Adiabatic Invariants of Periodic Classical Systems
โ Scribed by Gardner, C.
- Book ID
- 115537838
- Publisher
- The American Physical Society
- Year
- 1959
- Tongue
- English
- Weight
- 281 KB
- Volume
- 115
- Category
- Article
- ISSN
- 0031-899X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider a system of n linear differential equations where the & , Bx,, are slowly varying functions of t in -\* < t < m . Suppose that if the coefficients are frozen at their values for any value 7 of t the modified equations have distinct real periods 27r/wk(7). We now ask whether, subject to
With a view to extracting some further insight into the features of a dynamical system, we investigate here the possibility of its admitting complex dynamical invariants. For this purpose, both the rationalization and the Lie algebraic methods are employed to study the one-dimensional Hamiltonian sy