Characterization of anticommutativity of self-adjoint operators in connection with Clifford algebra and applications. (English) Zbl 0810.47019

Summary: A new characterization of anticommutativity of (unbounded) self-adjoint operators is presented in connection with Clifford algebra. Some consequences of the characterization and applications are discussed.


47B25 Linear symmetric and selfadjoint operators (unbounded)
47N50 Applications of operator theory in the physical sciences
81Q10 Selfadjoint operator theory in quantum theory, including spectral analysis
15A66 Clifford algebras, spinors
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