Quantum-Classical Correspondences for Locally Symmetric Spaces

Fuente: arXiv
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Autore principale: Hilgert, Joachim
Natura: Preprint
Pubblicazione: 2023
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author Hilgert, Joachim
author_facet Hilgert, Joachim
contents We review the status of a program, outlined and motivated in the introduction, for the study of correspondences between spectral invariants of partially hyperbolic flows on locally symmetric spaces and their quantizations. Further we formulate a number of concrete problems which may be viewed as possible further steps to be taken in order to complete the program.
format Preprint
id arxiv_https___arxiv_org_abs_2303_00578
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Quantum-Classical Correspondences for Locally Symmetric Spaces
Hilgert, Joachim
Dynamical Systems
Representation Theory
Symplectic Geometry
37C79, 22E46, 81R12
We review the status of a program, outlined and motivated in the introduction, for the study of correspondences between spectral invariants of partially hyperbolic flows on locally symmetric spaces and their quantizations. Further we formulate a number of concrete problems which may be viewed as possible further steps to be taken in order to complete the program.
title Quantum-Classical Correspondences for Locally Symmetric Spaces
topic Dynamical Systems
Representation Theory
Symplectic Geometry
37C79, 22E46, 81R12
url https://arxiv.org/abs/2303.00578