Ancille Ngendakumana, Joachim Nzotungicimpaye, Leonard Todjihounde, “Noncommutative Phase Spaces by Coadjoint Orbits Method”, SIGMA, 2011, том 7,116, 12 стр.

Эта публикация цитируется в 5 статьях

Noncommutative Phase Spaces by Coadjoint Orbits Method

Ancille Ngendakumana^a, Joachim Nzotungicimpaye^b, Leonard Todjihounde^a

^a Institut de Mathématiques et des Sciences Physiques, Porto-Novo, Benin
^b Kigali Institute of Education, Kigali, Rwanda

Аннотация: We introduce noncommutative phase spaces by minimal couplings (usual one, dual one and their mixing). We then realize some of them as coadjoint orbits of the anisotropic Newton–Hooke groups in two- and three-dimensional spaces. Through these constructions the positions and the momenta of the phase spaces do not commute due to the presence of a magnetic field and a dual magnetic field.

Ключевые слова: classical mechanics, noncommutative phase space, coadjoint orbit, symplectic realizations, magnetic and dual magnetic fields.

MSC: 22E60; 22E70; 37J15; 53D05; 53D17

Поступила: 24 мая 2011 г.; в окончательном варианте 13 декабря 2011 г.; опубликована 18 декабря 2011 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2011.116