Group Theoretical Examination of the Relativistic Wave Equations on Curved Spaces. II. De Sitter and Anti-de Sitter Spaces
| dc.creator | Pol'shin, Semyon | |
| dc.date | 1998-03-27 | |
| dc.date | 2000-01-12 | |
| dc.date.accessioned | 2026-07-07T03:32:18Z | |
| dc.date.available | 2026-07-07T03:32:18Z | |
| dc.description | The group theoretical approach to the relativistic wave equations in the de Sitter and Anti-de Sitter spaces for spin~0 and 1/2 massive particles is considered. The invariant wave equations which determines the appropriate irreducible representations are constructed. The explicit solutions of these equations possessing a simplicity and physical transparency are obtained without use of the separation of variables method. The connection with the general-covariant approach to wave equations in a curved space is established. It is shown that the Anti-de Sitter space is the solution of the Einstein-Dirac equations. The geometrical meaning of the mass quantization in the Anti-de Sitter space and of the particle creation in de Sitter space is shown. | |
| dc.description | This paper has been withdrawn since its main results now explained in hep-th/0001040 and hep-th/0001069 | |
| dc.identifier | https://arxiv.org/abs/gr-qc/9803092 | |
| dc.identifier | http://arxiv.org/abs/gr-qc/9803092 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/36181 | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | Group Theoretical Examination of the Relativistic Wave Equations on Curved Spaces. II. De Sitter and Anti-de Sitter Spaces | |
| dc.type | text |