From Path Integrals to Quantum Mechanics
The main goal of this chapter is the verification of the Wightman and Haag-Kastler axioms, including the proof of Theorems 6.1.5-6. We assume that we are given a measure dµ on D’(R d ) which satisfies the axioms OS0-3 given in Chapter 6. In that chapter we constructed Euclidean field operators φ acting on ℰ = L2(D’, dμ)and we constructed the Hilbert space ℋ of quantum mechanical states as the completion of ℰ+/N.
KeywordsQuantum Mechanics Bilinear Form Path Integral Time Translation Cauchy Integral Formula
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