Автор |
R L Dewar |
Дата выпуска |
1978-01-01 |
dc.description |
The topological constraints imposed on a canonical transformation by the requirement of continuous connection to the identity are considered. In the case of a particle interacting with a periodic potential, it is shown that a transformation to normal form (new Hamiltonian independent or position) is in general impossible using a transformation satisfying this requirement; the best that can be done being a transformation to a Hamiltonian which is almost everywhere in normal form, but which retains potential barriers of infinitesimal width to reflect trapped particles. A new Hamiltonian-Jacobi theory based on Lie operator techniques is presented and its relation to the usual theory established. |
Формат |
application.pdf |
Издатель |
Institute of Physics Publishing |
Название |
Exact oscillation-centre transformations |
Тип |
paper |
DOI |
10.1088/0305-4470/11/1/006 |
Print ISSN |
0305-4470 |
Журнал |
Journal of Physics A: Mathematical and General |
Том |
11 |
Первая страница |
9 |
Последняя страница |
26 |
Аффилиация |
R L Dewar; Dept. of Theoretical Phys., Res. School of Phys. Sci. Australian Nat. Univ., Canberra, ACT, Australia |
Выпуск |
1 |