Anticommuting selfadjoint operators

DOI10.1016/0022-1236(90)90101-PzbMath0704.47020MaRDI QIDQ916992

Steen Pedersen

Publication date: 1990

Published in: Journal of Functional Analysis (Search for Journal in Brave)

zbMATH Keywords

essentially self-adjointequivalent definitions of anticommutativity for self-adjoint operatorsstructure of anticommuting self-adjoint operators

Mathematics Subject Classification ID

Linear symmetric and selfadjoint operators (unbounded) (47B25) Commutators, derivations, elementary operators, etc. (47B47)

Related Items (12)

Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators ⋮ Representations of quadratic *-algebras by bounded and unbounded operators ⋮ Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space ⋮ A class of \(d\)-dimensional Dirac operators with a variable mass ⋮ HEISENBERG OPERATORS, INVARIANT DOMAINS AND HEISENBERG EQUATIONS OF MOTION ⋮ Dirac operators in Boson-Fermion Fock spaces and supersymmetric quantum field theory ⋮ Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators ⋮ Strong anticommutativity of dirac operators on boson—fermion fock spaces and representations of a supersymmetry algebra ⋮ Unitary representations of Lie groups with reflection symmetry ⋮ Properties of the Dirac–Weyl operator with a strongly singular gauge potentiala) ⋮ On the Super-Unitarity of Discrete Series Representations of Orthosymplectic Lie Superalgebras ⋮ Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications

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