dc.contributor.author
Duran, J.
dc.contributor.author
Mas, A.
dc.date.accessioned
2025-01-22T10:47:27Z
dc.date.available
2025-01-22T10:47:27Z
dc.date.issued
2024-01-08
dc.identifier.uri
http://hdl.handle.net/2072/480070
dc.description.abstract
This work addresses the resolvent convergence of generalized MIT bag operators to Dirac operators with zigzag type boundary conditions. We prove that the convergence holds in strong but not in norm resolvent sense. Moreover, we show that the only obstruction for having norm resolvent convergence is the existence of an eigenvalue of infinite multiplicity for the limiting operator. More precisely, we prove the convergence of the resolvents in operator norm once projected into the orthogonal of the corresponding eigenspace.
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dc.description.sponsorship
The two authors are supported by the Spanish grants PID2021-123903NB-I00 and ED2018-102650-T funded by MCIN/AEI/10.13039/501100011033 and by ERDF “A way of making Europe”, and by the Catalan grant 2021-SGR-00087. This work is supported 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). The first author is supported by CEX2020-001084-M-20-1 and acknowledges CERCA Programme/Generalitat de Catalunya for institutional support.
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dc.format.extent
18 p.
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dc.relation.ispartof
Analysis and Mathematical Physics
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dc.rights
Attribution 4.0 International
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dc.rights.uri
http://creativecommons.org/licenses/by/4.0/
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dc.source
RECERCAT (Dipòsit de la Recerca de Catalunya)
dc.subject.other
Dirac operator
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dc.subject.other
Spectral theory
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dc.subject.other
Resolvent convergence
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dc.title
Convergence of generalized MIT bag models to Dirac operators with zigzag boundary conditions
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dc.type
info:eu-repo/semantics/article
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dc.description.version
info:eu-repo/semantics/acceptedVersion
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dc.identifier.doi
10.1007/s13324-024-00946-7
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dc.rights.accessLevel
info:eu-repo/semantics/openAccess
