{"type":"journal_article","publisher":"MSP","volume":16,"citation":{"mla":"Hilgert, Joachim, et al. “Higher Rank Quantum-Classical Correspondence.” <i>Analysis &#38; PDE</i>, vol. 16, no. 10, MSP, 2023, pp. 2241–2265.","chicago":"Hilgert, Joachim, Tobias Weich, and Lasse Lennart Wolf. “Higher Rank Quantum-Classical Correspondence.” <i>Analysis &#38; PDE</i> 16, no. 10 (2023): 2241–2265.","apa":"Hilgert, J., Weich, T., &#38; Wolf, L. L. (2023). Higher rank quantum-classical correspondence. <i>Analysis &#38; PDE</i>, <i>16</i>(10), 2241–2265.","short":"J. Hilgert, T. Weich, L.L. Wolf, Analysis &#38; PDE 16 (2023) 2241–2265.","ama":"Hilgert J, Weich T, Wolf LL. Higher rank quantum-classical correspondence. <i>Analysis &#38; PDE</i>. 2023;16(10):2241–2265.","bibtex":"@article{Hilgert_Weich_Wolf_2023, title={Higher rank quantum-classical correspondence}, volume={16}, number={10}, journal={Analysis &#38; PDE}, publisher={MSP}, author={Hilgert, Joachim and Weich, Tobias and Wolf, Lasse Lennart}, year={2023}, pages={2241–2265} }","ieee":"J. Hilgert, T. Weich, and L. L. Wolf, “Higher rank quantum-classical correspondence,” <i>Analysis &#38; PDE</i>, vol. 16, no. 10, pp. 2241–2265, 2023."},"department":[{"_id":"10"},{"_id":"548"},{"_id":"91"}],"external_id":{"arxiv":["2103.05667"]},"date_created":"2022-05-11T10:41:35Z","status":"public","_id":"31190","user_id":"49063","author":[{"id":"220","first_name":"Joachim","full_name":"Hilgert, Joachim","last_name":"Hilgert"},{"orcid":"0000-0002-9648-6919","first_name":"Tobias","id":"49178","last_name":"Weich","full_name":"Weich, Tobias"},{"first_name":"Lasse Lennart","id":"45027","full_name":"Wolf, Lasse Lennart","last_name":"Wolf"}],"year":"2023","title":"Higher rank quantum-classical correspondence","abstract":[{"text":"For a compact Riemannian locally symmetric space $\\Gamma\\backslash G/K$ of\r\narbitrary rank we determine the location of certain Ruelle-Taylor resonances\r\nfor the Weyl chamber action. We provide a Weyl-lower bound on an appropriate\r\ncounting function for the Ruelle-Taylor resonances and establish a spectral gap\r\nwhich is uniform in $\\Gamma$ if $G/K$ is irreducible of higher rank. This is\r\nachieved by proving a quantum-classical correspondence, i.e. a\r\n1:1-correspondence between horocyclically invariant Ruelle-Taylor resonant\r\nstates and joint eigenfunctions of the algebra of invariant differential\r\noperators on $G/K$.","lang":"eng"}],"publication":"Analysis & PDE","issue":"10","intvolume":"        16","language":[{"iso":"eng"}],"page":"2241–2265","date_updated":"2024-02-19T06:29:52Z"}