Group-quantization of non-linear sigma models:particle on S2 revisited
We present the quantum mechanics of “partial-trace” non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treat...
| Autores: | ; ; |
|---|---|
| Tipo de documento: | Artículo |
| Fecha de publicación: | 2008 |
| País: | España |
| Institución: | Universidad Politécnica de Cartagena(UPCT) |
| Repositorio: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/527 |
| Acceso en línea: | http://hdl.handle.net/10317/527 |
| Nivel de acceso: | Acceso abierto |
| Palabra clave: | Grupo de cuantización Teoría cuantica Curvatura de la esfera Matemática Aplicada |
| Sumario: | We present the quantum mechanics of “partial-trace” non-linear sigma models, on the grounds of a fully symmetry-based procedure. After the general scheme is sketched, the particular example of a particle on the two-sphere is explicitly developed. As a remarkable feature, no explicit constraint treatment is required nor ordering ambiguities do appear. Moreover, the energy spectrum is recovered without extra terms in the curvature of the sphere. |
|---|