dc.contributor.author
Arrizabalaga, N.
dc.contributor.author
Mas, A.
dc.contributor.author
Sanz-Perela, T.
dc.contributor.author
Vega, L.
dc.date.accessioned
2023-11-27T14:45:17Z
dc.date.accessioned
2024-09-19T14:33:11Z
dc.date.available
2023-11-27T14:45:17Z
dc.date.available
2024-09-19T14:33:11Z
dc.date.issued
2022-11-22
dc.identifier.uri
http://hdl.handle.net/2072/537083
dc.description.abstract
We study spectral properties of Dirac operators on bounded domains Ω ⊂ R3 with boundary conditions of electrostatic and Lorentz scalar type and which depend on a parameter τ∈ R; the case τ= 0 corresponds to the MIT bag model. We show that the eigenvalues are parametrized as increasing functions of τ, and we exploit this monotonicity to study the limits as τ→ ± ∞. We prove that if Ω is not a ball then the first positive eigenvalue is greater than the one of a ball with the same volume for all τ large enough. Moreover, we show that the first positive eigenvalue converges to the mass of the particle as τ↓ - ∞, and we also analyze its first order asymptotics. © 2022, The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature.
eng
dc.description.sponsorship
Horizon 2020 Framework Programme, H2020: 669689; H2020 European Research Council, ERC; es:CEI; fr:CER; pl:ERBN: ERC-2014-ADG project HADE Id. 669689; Hezkuntza, Hizkuntza Politika Eta Kultura Saila, Eusko Jaurlaritza; Engineering and Physical Sciences Research Council, EPSRC: EP/S03157X/1; European Research Council, ERC; Agència de Gestió d'Ajuts Universitaris i de Recerca, AGAUR: 2017-SGR-1392, 2017-SGR-358; Eusko Jaurlaritza: BERC 2018-2021; Ministerio de Economía y Competitividad, MINECO: IT1247-19, MCIN/AEI/10.13039/501100011033, MTM2017-84214-C2-1-P, PGC2018-094522-B-I00, RED2018-102650-T; Ekonomiaren Garapen eta Lehiakortasun Saila, Eusko Jaurlaritza; European Regional Development Fund, ERDF: MTM2017-83499-P; Agencia Estatal de Investigación, AEI: CEX2020-001084-M. All authors are supported by the ERC-2014-ADG project HADE Id. 669689 (European Research Council). N. A. is supported by the MINECO Grant PGC2018-094522-B-I00 (Spain) and IT1247-19 (Gobierno Vasco). A. M. is supported by Grants MTM2017-84214-C2-1-P and RED2018-102650-T funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe”, by MINECO Grant MTM2017-83499-P (Spain), and by the Spanish State Research Agency, through the Severo Ochoa and María de Maeztu Program for Centers and Units of Excellence in R &D (CEX2020-001084-M). T. S.-P. is supported by Grants MTM2017-84214-C2-1-P and RED2018-102650-T funded by MCIN/AEI/10.13039/501100011033 and by “ERDF A way of making Europe”, AGAUR research group 2017-SGR-1392 (Catalunya), and EPSRC Grant EP/S03157X/1. L. V. is supported by the Basque Government through the BERC 2018-2021 program and by the Spanish State Research Agency through BCAM Severo Ochoa excellence accreditation SEV-2017-0718.
dc.format.extent
50 p.
cat
dc.publisher
Springer Science and Business Media Deutschland GmbH
cat
dc.relation.ispartof
Communications in Mathematical Physics
cat
dc.rights
L'accés als continguts d'aquest document queda condicionat a l'acceptació de les condicions d'ús establertes per la següent llicència Creative Commons: http://creativecommons.org/licenses/by-nc-nd/4.0/
dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Dirac operator, spectral theory, MIT bag model, shape optimization
cat
dc.title
Eigenvalue Curves for Generalized MIT Bag Models
cat
dc.type
info:eu-repo/semantics/article
cat
dc.type
info:eu-repo/semantics/acceptedVersion
cat
dc.identifier.doi
10.1007/s00220-022-04526-3
cat
dc.rights.accessLevel
info:eu-repo/semantics/openAccess
