{"type":"journal_article","ec_funded":1,"article_processing_charge":"Yes (via OA deal)","article_number":"109455","date_updated":"2023-10-27T10:37:29Z","department":[{"_id":"GradSch"},{"_id":"RoSe"}],"publication_status":"published","publisher":"Elsevier","year":"2022","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)"},"date_published":"2022-06-15T00:00:00Z","file_date_updated":"2022-08-02T10:37:55Z","external_id":{"arxiv":["2105.04874"],"isi":["000795160200009"]},"oa":1,"quality_controlled":"1","language":[{"iso":"eng"}],"project":[{"_id":"25C6DC12-B435-11E9-9278-68D0E5697425","call_identifier":"H2020","grant_number":"694227","name":"Analysis of quantum many-body systems"}],"user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","related_material":{"record":[{"relation":"dissertation_contains","status":"public","id":"14374"}]},"article_type":"original","abstract":[{"lang":"eng","text":"We study two interacting quantum particles forming a bound state in d-dimensional free\r\nspace, and constrain the particles in k directions to (0, ∞)k ×Rd−k, with Neumann boundary\r\nconditions. First, we prove that the ground state energy strictly decreases upon going from k\r\nto k+1. This shows that the particles stick to the corner where all boundary planes intersect.\r\nSecond, we show that for all k the resulting Hamiltonian, after removing the free part of the\r\nkinetic energy, has only finitely many eigenvalues below the essential spectrum. This paper\r\ngeneralizes the work of Egger, Kerner and Pankrashkin (J. Spectr. Theory 10(4):1413–1444,\r\n2020) to dimensions d > 1."}],"doi":"10.1016/j.jfa.2022.109455","publication_identifier":{"issn":["0022-1236"]},"month":"06","isi":1,"acknowledgement":"We thank Rupert Frank for contributing Appendix B. Funding from the European Union's Horizon 2020 research and innovation programme under the ERC grant agreement No. 694227 is gratefully acknowledged.","ddc":["510"],"status":"public","oa_version":"Published Version","_id":"10850","has_accepted_license":"1","keyword":["Analysis"],"publication":"Journal of Functional Analysis","volume":282,"file":[{"date_created":"2022-08-02T10:37:55Z","file_size":631391,"access_level":"open_access","relation":"main_file","date_updated":"2022-08-02T10:37:55Z","content_type":"application/pdf","file_name":"2022_JourFunctionalAnalysis_Roos.pdf","checksum":"63efcefaa1f2717244ef5407bd564426","creator":"dernst","success":1,"file_id":"11720"}],"citation":{"apa":"Roos, B., &#38; Seiringer, R. (2022). Two-particle bound states at interfaces and corners. <i>Journal of Functional Analysis</i>. Elsevier. <a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">https://doi.org/10.1016/j.jfa.2022.109455</a>","ieee":"B. Roos and R. Seiringer, “Two-particle bound states at interfaces and corners,” <i>Journal of Functional Analysis</i>, vol. 282, no. 12. Elsevier, 2022.","mla":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” <i>Journal of Functional Analysis</i>, vol. 282, no. 12, 109455, Elsevier, 2022, doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">10.1016/j.jfa.2022.109455</a>.","chicago":"Roos, Barbara, and Robert Seiringer. “Two-Particle Bound States at Interfaces and Corners.” <i>Journal of Functional Analysis</i>. Elsevier, 2022. <a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">https://doi.org/10.1016/j.jfa.2022.109455</a>.","ista":"Roos B, Seiringer R. 2022. Two-particle bound states at interfaces and corners. Journal of Functional Analysis. 282(12), 109455.","short":"B. Roos, R. Seiringer, Journal of Functional Analysis 282 (2022).","ama":"Roos B, Seiringer R. Two-particle bound states at interfaces and corners. <i>Journal of Functional Analysis</i>. 2022;282(12). doi:<a href=\"https://doi.org/10.1016/j.jfa.2022.109455\">10.1016/j.jfa.2022.109455</a>"},"issue":"12","title":"Two-particle bound states at interfaces and corners","day":"15","date_created":"2022-03-16T08:41:53Z","author":[{"id":"5DA90512-D80F-11E9-8994-2E2EE6697425","full_name":"Roos, Barbara","last_name":"Roos","orcid":"0000-0002-9071-5880","first_name":"Barbara"},{"first_name":"Robert","id":"4AFD0470-F248-11E8-B48F-1D18A9856A87","full_name":"Seiringer, Robert","last_name":"Seiringer","orcid":"0000-0002-6781-0521"}],"scopus_import":"1","intvolume":"       282"}