Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators

DOI10.1007/BF01203092zbMath0823.47026OpenAlexW2327425010MaRDI QIDQ1891852

Asao Arai

Publication date: 5 November 1995

Published in: Integral Equations and Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01203092

zbMATH Keywords

supersymmetrysymmetric operatoranticommuting self-adjoint operatorsnonrelativistic-limit problem of Dirac operators

Mathematics Subject Classification ID

Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25)

Related Items (2)

NON-RELATIVISTIC LIMIT OF A DIRAC–MAXWELL OPERATOR IN RELATIVISTIC QUANTUM ELECTRODYNAMICS ⋮ Strong anticommutativity of dirac operators on boson—fermion fock spaces and representations of a supersymmetry algebra

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• Normal forms of an abstract Dirac operator and applications to scattering theory
• Momentum operators with gauge potentials, local quantization of magnetic flux, and representation of canonical commutation relations
• Properties of the Dirac–Weyl operator with a strongly singular gauge potentiala)

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