Communications in Mathematical Physics

, Volume 22, Issue 4, pp 253–258 | Cite as

Positivity and self adjointness of theP(φ)2 Hamiltonian

  • James Glimm
  • Arthur Jaffe
Article

Abstract

We give a new proof that the locally correct HamiltonianH(g) is self adjoint, and that the vacuum energyE(g)=inf spectrumH(g) satisfies −O(D)≦E(g), where 0≦g≦1 andD=diam.supp.g.

Keywords

Neural Network Statistical Physic Complex System Nonlinear Dynamics Quantum Computing 

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Copyright information

© Springer-Verlag 1971

Authors and Affiliations

  • James Glimm
    • 1
  • Arthur Jaffe
    • 2
  1. 1.Courant Institute of Mathematical SciencesNew York UniversityNew York
  2. 2.Lyman Laboratory of PhysicsHarvard UniversityCambridge

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