Journal article 41 views
Quantum geodesic flows on graphs
,
Shahn Majid, QMUL
Letters in Mathematical Physics, Volume: Volume 114,, Issue: article number 112, (2024)
Swansea University Author:
Edwin Beggs
Full text not available from this repository: check for access using links below.
DOI (Published version): https://link.springer.com/article/10.1007/s11005-024-01860-6
Abstract
We revisit the construction of quantum Riemannian geometries on graphs starting from a hermitian metric compatible connection, which always exists. We use this method to find quantum Levi-Civita connections on the n-leg star graph for and find the same phenomenon as recently found for the Dynkin gra...
| Published in: | Letters in Mathematical Physics |
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| ISSN: | https://link.springer.com/journal/11005 |
| Published: |
Springer
2024
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| Online Access: |
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| URI: | https://cronfa.swan.ac.uk/Record/cronfa67840 |
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| Abstract: |
We revisit the construction of quantum Riemannian geometries on graphs starting from a hermitian metric compatible connection, which always exists. We use this method to find quantum Levi-Civita connections on the n-leg star graph for and find the same phenomenon as recently found for the Dynkin graph that the metric length for each inbound arrow has to exceed the length in the other direction by a multiple, here . We then study quantum geodesics on graphs and construct these on the 4-leg graph and on the integer lattice line with a general edge-symmetric metric. |
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| Keywords: |
noncommutative geometry, graph, calculus |
| College: |
College of Science |
| Issue: |
article number 112, (2024) |