{"oa_version":"Published Version","year":"2021","main_file_link":[{"open_access":"1","url":"https://doi.org/10.1017/S0013091521000080"}],"acknowledgement":"M. W. gratefully acknowledges financial support by the German Academic Scholarship Foundation (Studienstiftung des deutschen Volkes). T.W. thanks PAO Gazprom Neft, the Euler International Mathematical Institute in Saint Petersburg and ORISA GmbH for their financial support in the form of scholarships during his Master's and Bachelor's studies respectively. The authors want to thank Mark Malamud for pointing out the reference [1] to them. This work was supported by the Ministry of Science and Higher Education of the Russian Federation, agreement No 075-15-2019-1619.","article_type":"original","publication_identifier":{"eissn":["1464-3839"],"issn":["0013-0915"]},"month":"08","abstract":[{"lang":"eng","text":"We compute the deficiency spaces of operators of the form ๐ป๐ดโฬ ๐ผ+๐ผโฬ ๐ป๐ต, for symmetric ๐ป๐ด and self-adjoint ๐ป๐ต. This enables us to construct self-adjoint extensions (if they exist) by means of von Neumann's theory. The structure of the deficiency spaces for this case was asserted already in Ibort et al. [Boundary dynamics driven entanglement, J. Phys. A: Math. Theor. 47(38) (2014) 385301], but only proven under the restriction of ๐ป๐ต having discrete, non-degenerate spectrum."}],"quality_controlled":"1","isi":1,"date_updated":"2023-08-17T07:12:05Z","publication_status":"published","title":"Self-adjoint extensions of bipartite Hamiltonians","publisher":"Cambridge University Press","intvolume":" 64","external_id":{"isi":["000721363700003"],"arxiv":["1912.03670"]},"issue":"3","date_created":"2021-07-04T22:01:24Z","user_id":"4359f0d1-fa6c-11eb-b949-802e58b17ae8","language":[{"iso":"eng"}],"date_published":"2021-08-01T00:00:00Z","citation":{"ieee":"D. Lenz, T. Weinmann, and M. Wirth, โSelf-adjoint extensions of bipartite Hamiltonians,โ Proceedings of the Edinburgh Mathematical Society, vol. 64, no. 3. Cambridge University Press, pp. 443โ447, 2021.","mla":"Lenz, Daniel, et al. โSelf-Adjoint Extensions of Bipartite Hamiltonians.โ Proceedings of the Edinburgh Mathematical Society, vol. 64, no. 3, Cambridge University Press, 2021, pp. 443โ47, doi:10.1017/S0013091521000080.","ama":"Lenz D, Weinmann T, Wirth M. Self-adjoint extensions of bipartite Hamiltonians. Proceedings of the Edinburgh Mathematical Society. 2021;64(3):443-447. doi:10.1017/S0013091521000080","ista":"Lenz D, Weinmann T, Wirth M. 2021. Self-adjoint extensions of bipartite Hamiltonians. Proceedings of the Edinburgh Mathematical Society. 64(3), 443โ447.","apa":"Lenz, D., Weinmann, T., & Wirth, M. (2021). Self-adjoint extensions of bipartite Hamiltonians. Proceedings of the Edinburgh Mathematical Society. Cambridge University Press. https://doi.org/10.1017/S0013091521000080","short":"D. Lenz, T. Weinmann, M. Wirth, Proceedings of the Edinburgh Mathematical Society 64 (2021) 443โ447.","chicago":"Lenz, Daniel, Timon Weinmann, and Melchior Wirth. โSelf-Adjoint Extensions of Bipartite Hamiltonians.โ Proceedings of the Edinburgh Mathematical Society. Cambridge University Press, 2021. https://doi.org/10.1017/S0013091521000080."},"page":"443-447","publication":"Proceedings of the Edinburgh Mathematical Society","volume":64,"scopus_import":"1","department":[{"_id":"JaMa"}],"type":"journal_article","status":"public","_id":"9627","article_processing_charge":"No","author":[{"last_name":"Lenz","full_name":"Lenz, Daniel","first_name":"Daniel"},{"last_name":"Weinmann","full_name":"Weinmann, Timon","first_name":"Timon"},{"last_name":"Wirth","orcid":"0000-0002-0519-4241","id":"88644358-0A0E-11EA-8FA5-49A33DDC885E","first_name":"Melchior","full_name":"Wirth, Melchior"}],"day":"01","doi":"10.1017/S0013091521000080","oa":1}