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Eigenvalues of the volume operator in loop quantum gravity
We present a simple method to calculate certain sums of the eigenvalues of the volume operator in loop quantum gravity. We derive the asymptotic distribution of the eigenvalues in the classical limit of very large spins which turns out to be of a very simple form. The results can be useful for examp...
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| Lenguaje: | eng |
| Publicado: |
2005
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| Acceso en línea: | https://dx.doi.org/10.1088/0264-9381/23/3/005 http://cds.cern.ch/record/883955 |
| _version_ | 1780908293910167552 |
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| author | Meissner, K A |
| author_facet | Meissner, K A |
| author_sort | Meissner, K A |
| collection | CERN |
| description | We present a simple method to calculate certain sums of the eigenvalues of the volume operator in loop quantum gravity. We derive the asymptotic distribution of the eigenvalues in the classical limit of very large spins which turns out to be of a very simple form. The results can be useful for example in the statistical approach to quantum gravity. |
| id | cern-883955 |
| institution | Organización Europea para la Investigación Nuclear |
| language | eng |
| publishDate | 2005 |
| record_format | invenio |
| spelling | cern-8839552019-09-30T06:29:59Zdoi:10.1088/0264-9381/23/3/005http://cds.cern.ch/record/883955engMeissner, K AEigenvalues of the volume operator in loop quantum gravityGeneral Relativity and CosmologyWe present a simple method to calculate certain sums of the eigenvalues of the volume operator in loop quantum gravity. We derive the asymptotic distribution of the eigenvalues in the classical limit of very large spins which turns out to be of a very simple form. The results can be useful for example in the statistical approach to quantum gravity.gr-qc/0509049oai:cds.cern.ch:8839552005-09-14 |
| spellingShingle | General Relativity and Cosmology Meissner, K A Eigenvalues of the volume operator in loop quantum gravity |
| title | Eigenvalues of the volume operator in loop quantum gravity |
| title_full | Eigenvalues of the volume operator in loop quantum gravity |
| title_fullStr | Eigenvalues of the volume operator in loop quantum gravity |
| title_full_unstemmed | Eigenvalues of the volume operator in loop quantum gravity |
| title_short | Eigenvalues of the volume operator in loop quantum gravity |
| title_sort | eigenvalues of the volume operator in loop quantum gravity |
| topic | General Relativity and Cosmology |
| url | https://dx.doi.org/10.1088/0264-9381/23/3/005 http://cds.cern.ch/record/883955 |
| work_keys_str_mv | AT meissnerka eigenvaluesofthevolumeoperatorinloopquantumgravity |