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: | ; ; |
|---|---|
| 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 |
| _version_ | 1878739035804925952 |
|---|---|
| author | Aldaya Valverde, Víctor |
| author2 | López Ruiz, Francisco Felipe Calixto Molina, Manuel |
| author2_role | author author |
| author_browse | Aldaya Valverde, Víctor Calixto Molina, Manuel López Ruiz, Francisco Felipe |
| author_facet | Aldaya Valverde, Víctor López Ruiz, Francisco Felipe Calixto Molina, Manuel |
| author_role | author |
| collection | Repositorio Digital UPCT |
| description | 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. |
| eu_rights_str_mv | openAccess |
| format | article |
| id | ES_b9dce8ca3db2a36b105fd7c10ded13e2 |
| institution | Universidad Politécnica de Cartagena(UPCT) |
| instname_str | Universidad Politécnica de Cartagena(UPCT) |
| network_acronym_str | ES |
| network_name_str | España |
| oai_identifier_str | oai:repositorio.upct.es:10317/527 |
| publishDate | 2008 |
| publishDateSort | 2008 |
| reponame_str | Repositorio Digital UPCT |
| spelling | Group-quantization of non-linear sigma models:particle on S2 revisited Aldaya Valverde, Víctor López Ruiz, Francisco Felipe Calixto Molina, Manuel Grupo de cuantización Teoría cuantica Curvatura de la esfera Matemática Aplicada 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. Work partially supported by the Spanish MCYT, Junta de Andalucía and Fundación Séneca under projects FIS2005-05736-C03-01, P06-FQM-01951 and 03100/PI/05. F. F. López Ruiz would like to thank the C.S.I.C. for an I3P grant. http://hdl.handle.net/10317/527 |
| spellingShingle | Group-quantization of non-linear sigma models:particle on S2 revisited Aldaya Valverde, Víctor Grupo de cuantización Teoría cuantica Curvatura de la esfera Matemática Aplicada |
| title | Group-quantization of non-linear sigma models:particle on S2 revisited |
| title_full | Group-quantization of non-linear sigma models:particle on S2 revisited |
| title_fullStr | Group-quantization of non-linear sigma models:particle on S2 revisited |
| title_full_unstemmed | Group-quantization of non-linear sigma models:particle on S2 revisited |
| title_short | Group-quantization of non-linear sigma models:particle on S2 revisited |
| title_sort | Group-quantization of non-linear sigma models:particle on S2 revisited |
| topic | Grupo de cuantización Teoría cuantica Curvatura de la esfera Matemática Aplicada |
| topic_facet | Grupo de cuantización Teoría cuantica Curvatura de la esfera Matemática Aplicada |
| url | http://hdl.handle.net/10317/527 |