Quantum Mechanics on Manifolds
| dc.creator | Tanimura, Shogo | |
| dc.date | 1993-06-28 | |
| dc.date.accessioned | 2026-07-07T04:19:31Z | |
| dc.date.available | 2026-07-07T04:19:31Z | |
| dc.description | A definition of quantum mechanics on a manifold $ M $ is proposed and a method to realize the definition is presented. This scheme is applicable to a homogeneous space $ M = G / H $. The realization is a unitary representation of the transformation group $ G $ on the space of vector bundle-valued functions. When $ H \ne \{ e \} $, there exist a number of inequivalent realizations. As examples, quantum mechanics on a sphere $ S^n $, a torus $ T^n $ and a projective space $ \RP $ are studied. In any case, it is shown that there are an infinite number of inequivalent realizations. | |
| dc.description | 34 pages | |
| dc.identifier | https://arxiv.org/abs/hep-th/9306144 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9306144 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/53580 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | Quantum Mechanics on Manifolds | |
| dc.type | text |