Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications
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Publication:1316459
DOI10.1007/BF01200389zbMath0810.47019OpenAlexW2313519067MaRDI QIDQ1316459
Publication date: 10 April 1994
Published in: Integral Equations and Operator Theory (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/bf01200389
Applications of operator theory in the physical sciences (47N50) Linear symmetric and selfadjoint operators (unbounded) (47B25) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Clifford algebras, spinors (15A66)
Related Items (5)
Scaling limit of anticommuting selfadjoint operators and applications to Dirac operators ⋮ Operator-theoretical analysis of a representation of a supersymmetry algebra in Hilbert space ⋮ HEISENBERG OPERATORS, INVARIANT DOMAINS AND HEISENBERG EQUATIONS OF MOTION ⋮ GENERALIZED WEAK WEYL RELATION AND DECAY OF QUANTUM DYNAMICS ⋮ Strong anticommutativity of dirac operators on boson—fermion fock spaces and representations of a supersymmetry algebra
Cites Work
- Anticommuting selfadjoint operators
- A general class of infinite dimensional Dirac operators and path integral representation of their index
- Commutation properties of anticommuting self-adjoint operators, spin representation and Dirac operators
- Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold
- Supersymmetric embedding of a model of a quantum harmonic oscillator interacting with infinitely many bosons
- 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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