The Riesz-Clifford Functional Calculus for Non-Commuting Operators and Quantum Field Theory

Details The Riesz-Clifford Functional Calculus for Non-Commuting Operators and Quantum Field Theory The Riesz-Clifford Functional Calculus for Non-Commuting Operators and Quantum Field Theory

1995-02-25

arxiv.org/abs/funct-an/9502006v1

Math. Methods Appl. Sci., 19 (1996), No 8, pp.593-605

Physics

High Energy Physics

High Energy Physics - Theory

20 p., LaTeX2e, a hard copy or uuencoded DVI-file by e-mail may be obtained from the Author.

Scientific paper

We present a Riesz-like hyperholomorphic functional calculus for a set of
non-commuting operators based on the Clifford analysis. Applications to the
quantum field theory are described. Keywords: Functional calculus, Weyl
calculus, Riesz calculus, Clifford analysis, quantization, quantum field
theory. AMSMSC Primary:47A60, Secondary: 81T10

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