Quantum Mechanics on a Curved Snyder Space
We study the representations of the three-dimensional Euclidean Snyder-de Sitter algebra. This algebra generates the symmetries of a model admitting two fundamental scales (Planck mass and cosmological constant) and is invariant under the Born reciprocity for exchange of positions and momenta. Its r...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2016-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2016/1328284 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832564574074699776 |
|---|---|
| author | Salvatore Mignemi Rina Štrajn |
| author_facet | Salvatore Mignemi Rina Štrajn |
| author_sort | Salvatore Mignemi |
| collection | DOAJ |
| description | We study the representations of the three-dimensional Euclidean Snyder-de Sitter algebra. This algebra generates the symmetries of a model admitting two fundamental scales (Planck mass and cosmological constant) and is invariant under the Born reciprocity for exchange of positions and momenta. Its representations can be obtained starting from those of the Snyder algebra and exploiting the geometrical properties of the phase space that can be identified with a Grassmannian manifold. Both the position and momentum operators turn out to have a discrete spectrum. |
| format | Article |
| id | doaj-art-d57ceafab61f4894a8e8850f461106c7 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2016-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-d57ceafab61f4894a8e8850f461106c72025-02-03T01:10:43ZengWileyAdvances in High Energy Physics1687-73571687-73652016-01-01201610.1155/2016/13282841328284Quantum Mechanics on a Curved Snyder SpaceSalvatore Mignemi0Rina Štrajn1Dipartimento di Matematica e Informatica, Università di Cagliari, Viale Merello 92, 09123 Cagliari, ItalyDipartimento di Matematica e Informatica, Università di Cagliari, Viale Merello 92, 09123 Cagliari, ItalyWe study the representations of the three-dimensional Euclidean Snyder-de Sitter algebra. This algebra generates the symmetries of a model admitting two fundamental scales (Planck mass and cosmological constant) and is invariant under the Born reciprocity for exchange of positions and momenta. Its representations can be obtained starting from those of the Snyder algebra and exploiting the geometrical properties of the phase space that can be identified with a Grassmannian manifold. Both the position and momentum operators turn out to have a discrete spectrum.http://dx.doi.org/10.1155/2016/1328284 |
| spellingShingle | Salvatore Mignemi Rina Štrajn Quantum Mechanics on a Curved Snyder Space Advances in High Energy Physics |
| title | Quantum Mechanics on a Curved Snyder Space |
| title_full | Quantum Mechanics on a Curved Snyder Space |
| title_fullStr | Quantum Mechanics on a Curved Snyder Space |
| title_full_unstemmed | Quantum Mechanics on a Curved Snyder Space |
| title_short | Quantum Mechanics on a Curved Snyder Space |
| title_sort | quantum mechanics on a curved snyder space |
| url | http://dx.doi.org/10.1155/2016/1328284 |
| work_keys_str_mv | AT salvatoremignemi quantummechanicsonacurvedsnyderspace AT rinastrajn quantummechanicsonacurvedsnyderspace |