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Locality, Complex Numbers, and Relativistic Quantum Theory
Simon W. Saunders
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association
Vol. 1992, Volume One: Contributed Papers (1992), pp. 365-380
Stable URL: http://www.jstor.org/stable/192768
Page Count: 16
You can always find the topics here!Topics: Quantum field theory, Inner products, Antiparticles, Hilbert spaces, Quantum mechanics, Physics, Momentum, Energy, Particle energy, Particle mass
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A heuristic comparison is made of relativistic and non-relativistic quantum theory. To this end the Segal approach is described for the non-specialist. The significance of antimatter to the local and microcausal properties of the fields is laid bare. The fundamental difference between relativistic and non-relativistic (complex) fields is traced to the existence of two kinds of complex numbers in the relativistic case. Their relation to covariant and Newton-Wigner locality is formulated.
PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association © 1992 The University of Chicago Press