Boundary Value Problems for 3D-Dirac Operators and MIT Bag Model

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Abstract

We consider the operator (formula presented) belonging to the space of bounded continuous functions on (formula presented) . We associate with this boundary value problem an unbounded operator (formula presented) We obtain conditions of the self-adjointness of (formula presented) and the discreteness of its spectrum. We give applications of this results to the operator of MIT bag model of relativistic quantum mechanics.

Original languageEnglish
Title of host publicationOperator Theory and Harmonic Analysis, OTHA 2020
EditorsAlexey N. Karapetyants, Vladislav V. Kravchenko, Elijah Liflyand, Helmuth R. Malonek
PublisherSpringer
Pages479-495
Number of pages17
ISBN (Print)9783030774929
DOIs
StatePublished - 2021
EventInternational Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020 - Rostov-on-Don, Russian Federation
Duration: 26 Apr 202030 Apr 2020

Publication series

NameSpringer Proceedings in Mathematics and Statistics
Volume357
ISSN (Print)2194-1009
ISSN (Electronic)2194-1017

Conference

ConferenceInternational Scientific Conference on Modern Methods, Problems and Applications of Operator Theory and Harmonic Analysis, OTHA 2020
Country/TerritoryRussian Federation
CityRostov-on-Don
Period26/04/2030/04/20

Keywords

  • Boundary value problems
  • Dirac operators
  • Fredholmness
  • Self-adjointness

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