Matches in SemOpenAlex for { <https://semopenalex.org/work/W2899821754> ?p ?o ?g. }
- W2899821754 endingPage "295202" @default.
- W2899821754 startingPage "295202" @default.
- W2899821754 abstract "We are dealing with boundary conditions for Dirac-type operators, i.e., first order differential operators with matrix-valued coefficients, including in particular physical many-body Dirac operators. We characterize (what we conjecture is) the general form of reflecting boundary conditions (which includes known boundary conditions such as the one of the MIT bag model) and, as our main goal, of interior-boundary conditions (IBCs). IBCs are a new approach to defining UV-regular Hamiltonians for quantum field theories without smearing particles out or discretizing space. For obtaining such Hamiltonians, the method of IBCs provides an alternative to renormalization and has been successfully used so far in non-relativistic models, where it could be applied also in cases in which no renormalization method was known. A natural next question about IBCs is how to set them up for the Dirac equation, and here we take first steps towards the answer. For quantum field theories, the relevant boundary consists of the surfaces in $n$-particle configuration space $mathbb{R}^{3n}$ on which two particles have the same location in $mathbb{R}^3$. While this boundary has codimension 3, we focus here on the more basic situation in which the boundary has codimension 1 in configuration space. We describe specific examples of IBCs for the Dirac equation, we prove for some of these examples that they rigorously define self-adjoint Hamiltonians, and we develop the general form of IBCs for Dirac-type operators." @default.
- W2899821754 created "2018-11-16" @default.
- W2899821754 creator A5056652597 @default.
- W2899821754 creator A5076218389 @default.
- W2899821754 creator A5081752312 @default.
- W2899821754 date "2019-06-24" @default.
- W2899821754 modified "2023-10-17" @default.
- W2899821754 title "Interior-boundary conditions for many-body Dirac operators and codimension-1 boundaries" @default.
- W2899821754 cites W1971282411 @default.
- W2899821754 cites W1994949836 @default.
- W2899821754 cites W1999535359 @default.
- W2899821754 cites W2002161592 @default.
- W2899821754 cites W2002638477 @default.
- W2899821754 cites W2004477209 @default.
- W2899821754 cites W2023944555 @default.
- W2899821754 cites W2030766595 @default.
- W2899821754 cites W2044493594 @default.
- W2899821754 cites W2067531688 @default.
- W2899821754 cites W2071077087 @default.
- W2899821754 cites W2089737892 @default.
- W2899821754 cites W2101310208 @default.
- W2899821754 cites W2167184126 @default.
- W2899821754 cites W2228403289 @default.
- W2899821754 cites W2552800236 @default.
- W2899821754 cites W2596934461 @default.
- W2899821754 cites W2616756880 @default.
- W2899821754 cites W3103583953 @default.
- W2899821754 cites W3103642585 @default.
- W2899821754 cites W3103702944 @default.
- W2899821754 cites W3104346536 @default.
- W2899821754 cites W3105617276 @default.
- W2899821754 doi "https://doi.org/10.1088/1751-8121/ab2665" @default.
- W2899821754 hasPublicationYear "2019" @default.
- W2899821754 type Work @default.
- W2899821754 sameAs 2899821754 @default.
- W2899821754 citedByCount "6" @default.
- W2899821754 countsByYear W28998217542019 @default.
- W2899821754 countsByYear W28998217542020 @default.
- W2899821754 countsByYear W28998217542021 @default.
- W2899821754 countsByYear W28998217542022 @default.
- W2899821754 countsByYear W28998217542023 @default.
- W2899821754 crossrefType "journal-article" @default.
- W2899821754 hasAuthorship W2899821754A5056652597 @default.
- W2899821754 hasAuthorship W2899821754A5076218389 @default.
- W2899821754 hasAuthorship W2899821754A5081752312 @default.
- W2899821754 hasBestOaLocation W28998217542 @default.
- W2899821754 hasConcept C111919701 @default.
- W2899821754 hasConcept C121332964 @default.
- W2899821754 hasConcept C134306372 @default.
- W2899821754 hasConcept C149545384 @default.
- W2899821754 hasConcept C166124518 @default.
- W2899821754 hasConcept C182310444 @default.
- W2899821754 hasConcept C186453547 @default.
- W2899821754 hasConcept C202444582 @default.
- W2899821754 hasConcept C2778572836 @default.
- W2899821754 hasConcept C33923547 @default.
- W2899821754 hasConcept C37914503 @default.
- W2899821754 hasConcept C41008148 @default.
- W2899821754 hasConcept C61039578 @default.
- W2899821754 hasConcept C62354387 @default.
- W2899821754 hasConcept C62520636 @default.
- W2899821754 hasConcept C82601208 @default.
- W2899821754 hasConcept C83979697 @default.
- W2899821754 hasConceptScore W2899821754C111919701 @default.
- W2899821754 hasConceptScore W2899821754C121332964 @default.
- W2899821754 hasConceptScore W2899821754C134306372 @default.
- W2899821754 hasConceptScore W2899821754C149545384 @default.
- W2899821754 hasConceptScore W2899821754C166124518 @default.
- W2899821754 hasConceptScore W2899821754C182310444 @default.
- W2899821754 hasConceptScore W2899821754C186453547 @default.
- W2899821754 hasConceptScore W2899821754C202444582 @default.
- W2899821754 hasConceptScore W2899821754C2778572836 @default.
- W2899821754 hasConceptScore W2899821754C33923547 @default.
- W2899821754 hasConceptScore W2899821754C37914503 @default.
- W2899821754 hasConceptScore W2899821754C41008148 @default.
- W2899821754 hasConceptScore W2899821754C61039578 @default.
- W2899821754 hasConceptScore W2899821754C62354387 @default.
- W2899821754 hasConceptScore W2899821754C62520636 @default.
- W2899821754 hasConceptScore W2899821754C82601208 @default.
- W2899821754 hasConceptScore W2899821754C83979697 @default.
- W2899821754 hasFunder F4320320879 @default.
- W2899821754 hasIssue "29" @default.
- W2899821754 hasLocation W28998217541 @default.
- W2899821754 hasLocation W28998217542 @default.
- W2899821754 hasOpenAccess W2899821754 @default.
- W2899821754 hasPrimaryLocation W28998217541 @default.
- W2899821754 hasRelatedWork W1555200575 @default.
- W2899821754 hasRelatedWork W1623971032 @default.
- W2899821754 hasRelatedWork W2019465426 @default.
- W2899821754 hasRelatedWork W2298813846 @default.
- W2899821754 hasRelatedWork W2963626027 @default.
- W2899821754 hasRelatedWork W3001019347 @default.
- W2899821754 hasRelatedWork W3100571509 @default.
- W2899821754 hasRelatedWork W3100708497 @default.
- W2899821754 hasRelatedWork W3102583419 @default.
- W2899821754 hasRelatedWork W3146487861 @default.
- W2899821754 hasVolume "52" @default.
- W2899821754 isParatext "false" @default.