--- _id: '295' abstract: - lang: eng text: We prove upper and lower bounds on the ground-state energy of the ideal two-dimensional anyon gas. Our bounds are extensive in the particle number, as for fermions, and linear in the statistics parameter (Formula presented.). The lower bounds extend to Lieb–Thirring inequalities for all anyons except bosons. acknowledgement: Financial support from the Swedish Research Council, grant no. 2013-4734 (D. L.), the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (grant agreement No 694227, R. S.), and by the Austrian Science Fund (FWF), project Nr. P 27533-N27 (R. S.), is gratefully acknowledged. article_processing_charge: No author: - first_name: Douglas full_name: Lundholm, Douglas last_name: Lundholm - first_name: Robert full_name: Seiringer, Robert id: 4AFD0470-F248-11E8-B48F-1D18A9856A87 last_name: Seiringer orcid: 0000-0002-6781-0521 citation: ama: Lundholm D, Seiringer R. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 2018;108(11):2523-2541. doi:10.1007/s11005-018-1091-y apa: Lundholm, D., & Seiringer, R. (2018). Fermionic behavior of ideal anyons. Letters in Mathematical Physics. Springer. https://doi.org/10.1007/s11005-018-1091-y chicago: Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics. Springer, 2018. https://doi.org/10.1007/s11005-018-1091-y. ieee: D. Lundholm and R. Seiringer, “Fermionic behavior of ideal anyons,” Letters in Mathematical Physics, vol. 108, no. 11. Springer, pp. 2523–2541, 2018. ista: Lundholm D, Seiringer R. 2018. Fermionic behavior of ideal anyons. Letters in Mathematical Physics. 108(11), 2523–2541. mla: Lundholm, Douglas, and Robert Seiringer. “Fermionic Behavior of Ideal Anyons.” Letters in Mathematical Physics, vol. 108, no. 11, Springer, 2018, pp. 2523–41, doi:10.1007/s11005-018-1091-y. short: D. Lundholm, R. Seiringer, Letters in Mathematical Physics 108 (2018) 2523–2541. date_created: 2018-12-11T11:45:40Z date_published: 2018-05-11T00:00:00Z date_updated: 2023-09-11T14:01:57Z day: '11' ddc: - '510' department: - _id: RoSe doi: 10.1007/s11005-018-1091-y ec_funded: 1 external_id: arxiv: - '1712.06218' isi: - '000446491500008' file: - access_level: open_access checksum: 8beb9632fa41bbd19452f55f31286a31 content_type: application/pdf creator: dernst date_created: 2018-12-17T12:14:17Z date_updated: 2020-07-14T12:45:55Z file_id: '5698' file_name: 2018_LettMathPhys_Lundholm.pdf file_size: 551996 relation: main_file file_date_updated: 2020-07-14T12:45:55Z has_accepted_license: '1' intvolume: ' 108' isi: 1 issue: '11' language: - iso: eng month: '05' oa: 1 oa_version: Published Version page: 2523-2541 project: - _id: 25C6DC12-B435-11E9-9278-68D0E5697425 call_identifier: H2020 grant_number: '694227' name: Analysis of quantum many-body systems - _id: 25C878CE-B435-11E9-9278-68D0E5697425 call_identifier: FWF grant_number: P27533_N27 name: Structure of the Excitation Spectrum for Many-Body Quantum Systems publication: Letters in Mathematical Physics publication_status: published publisher: Springer publist_id: '7586' quality_controlled: '1' scopus_import: '1' status: public title: Fermionic behavior of ideal anyons tmp: image: /images/cc_by.png legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0) short: CC BY (4.0) type: journal_article user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1 volume: 108 year: '2018' ...