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From Path Integrals to Quantum Mechanics

  • James Glimm
  • Arthur Jaffe

Abstract

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 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 = L2(D’, )and we constructed the Hilbert space ℋ of quantum mechanical states as the completion of +/N.

Keywords

Quantum Mechanics Bilinear Form Path Integral Time Translation Cauchy Integral Formula 
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Copyright information

© Springer-Verlag New York Inc. 1987

Authors and Affiliations

  • James Glimm
    • 1
  • Arthur Jaffe
    • 2
  1. 1.Courant Institute for Mathematical SciencesNew York UniversityNew YorkUSA
  2. 2.Harvard UniversityCambridgeUSA

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