Abstract
The main goal of this chapter is the verification of the Wightman and HaagKastler axioms, including the proof of Theorems 6.1.5–6. We assume that we are given a measure dμ on
(Rd) which satisfies the axioms OS0–3 given in Chapter 6. In that chapter we constructed Euclidean field operators ϕ acting on ℰ = L2(
, dμ) and we constructed the Hilbert space ℋ of quantum mechanical states as the completion of ℰ+/Ν.
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© 1981 Springer-Verlag New York Inc.
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Glimm, J., Jaffe, A. (1981). From Path Integrals to Quantum Mechanics. In: Quantum Physics. Springer, New York, NY. https://doi.org/10.1007/978-1-4684-0121-9_19
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DOI: https://doi.org/10.1007/978-1-4684-0121-9_19
Publisher Name: Springer, New York, NY
Print ISBN: 978-0-387-90562-4
Online ISBN: 978-1-4684-0121-9
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