preprint
Quantum resonances and scattering poles of classical rank one locally symmetric spaces
Joachim
Hilgert
author 220
Benjamin
Delarue
author 70575
For negatively curved symmetric spaces it is known that the poles of the scattering matrices defined via the standard intertwining operators for the spherical principal representations of the isometry group are either given as poles of the intertwining operators or as quantum resonances, i.e. poles of the meromorphically continued resolvents of the Laplace-Beltrami operator. We extend this result to classical locally symmetric spaces of negative curvature with convex-cocompact fundamental group using results of Bunke and Olbrich. The method of proof forces us to exclude the spectral parameters corresponding to singular Poisson transforms.
2024
eng
@article{Hilgert_Delarue_2024, title={Quantum resonances and scattering poles of classical rank one locally symmetric spaces}, author={Hilgert, Joachim and Delarue, Benjamin}, year={2024} }
Hilgert, J., & Delarue, B. (2024). <i>Quantum resonances and scattering poles of classical rank one locally symmetric spaces</i>.
Hilgert, Joachim, and Benjamin Delarue. <i>Quantum Resonances and Scattering Poles of Classical Rank One Locally Symmetric Spaces</i>. 2024.
J. Hilgert and B. Delarue, “Quantum resonances and scattering poles of classical rank one locally symmetric spaces.” 2024.
Hilgert J, Delarue B. Quantum resonances and scattering poles of classical rank one locally symmetric spaces. Published online 2024.
Hilgert, Joachim, and Benjamin Delarue. “Quantum Resonances and Scattering Poles of Classical Rank One Locally Symmetric Spaces,” 2024.
J. Hilgert, B. Delarue, (2024).
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