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...
| Authors: | ; ; |
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| Format: | Article |
| Publication date: | 2008 |
| Country: | España |
| Institution: | Universidad Politécnica de Cartagena(UPCT) |
| Repository: | Repositorio Digital UPCT |
| OAI Identifier: | oai:repositorio.upct.es:10317/527 |
| Online Access: | http://hdl.handle.net/10317/527 |
| Access Level: | Open access |
| Keyword: | Grupo de cuantización Teoría cuantica Curvatura de la esfera Matemática Aplicada |
| Summary: | 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. |
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