Convergence of generalized MIT bag models Authors Joaquim Duran i Lamiel Centre de Recerca Matemàtica DOI: 10.2436/20.2002.02.47 Keywords: Dirac operator, spectral theory, MIT bag model, shape optimization, resolvent convergence Abstract We study spectral properties of generalized MIT bag models. These are Dirac operators {Hτ }τ∈R acting on domains of R3 with confining boundary conditions. By studying the resolvent convergence of the operators Hτ towards the limiting operators H±∞ as τ → ±∞, we prove that certain spectral properties are inherited throughout the parametrization. These results, partially obtained in the master’s thesis [3], are new and have been published in [4]. Downloads Download data is not yet available. Downloads PDF Published 2025-12-04 How to Cite Duran i Lamiel, J. (2025). Convergence of generalized MIT bag models. Reports@SCM, 10(1), 23–29. Retrieved from https://revistes.iec.cat/index.php/reports/article/view/155111 More Citation Formats ACM ACS APA ABNT Chicago Harvard IEEE MLA Turabian Vancouver Download Citation Endnote/Zotero/Mendeley (RIS) BibTeX Issue Vol. 10 No. 1 (2025) Section Articles License The intellectual property of articles belongs to the respective authors.On submitting articles for publication to the journal Reports@SCM, authors accept the following terms:Authors assign to Societat Catalana de Matemàtiques (a subsidiary of Institut d’Estudis Catalans) the rights of reproduction, communication to the public and distribution of the articles submitted for publication to Reports@SCM.Authors answer to Societat Catalana de Matemàtiques for the authorship and originality of submitted articles.Authors are responsible for obtaining permission for the reproduction of all graphic material included in articles.Societat Catalana de Matemàtiques declines all liability for the possible infringement of intellectual property rights by authors.The contents published in the journal, unless otherwise stated in the text or in the graphic material, are subject to a Creative Commons Attribution-NonCommercial-NoDerivs (by-nc-nd) 3.0 Spain licence, the complete text of which may be found at https://creativecommons.org/licenses/by-nc-nd/3.0/es/deed.en. Consequently, the general public is authorised to reproduce, distribute and communicate the work, provided that its authorship and the body publishing it are acknowledged, and that no commercial use and no derivative works are made of it.The journal Reports@SCM is not responsible for the ideas and opinions expressed by the authors of the published articles.
