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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
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