Positivity and self adjointness of the P(φ)2 Hamiltonian

James Glimm; Arthur Jaffe

doi:10.1007/BF01877508

Positivity and self adjointness of the P(φ)₂ Hamiltonian

James Glimm
, Arthur Jaffe

Applied Mathematics and Statistics

Harvard University

Research output: Contribution to journal › Article › peer-review

17 Scopus citations

Abstract

We give a new proof that the locally correct Hamiltonian H(g) is self adjoint, and that the vacuum energy E(g)=inf spectrum H(g) satisfies -O(D)≦E(g), where 0≦g≦1 and D=diam.supp. g.

Original language	English
Pages (from-to)	253-258
Number of pages	6
Journal	Communications in Mathematical Physics
Volume	22
Issue number	4
DOIs	https://doi.org/10.1007/BF01877508
State	Published - Dec 1971

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abstract = "We give a new proof that the locally correct Hamiltonian H(g) is self adjoint, and that the vacuum energy E(g)=inf spectrum H(g) satisfies -O(D)≦E(g), where 0≦g≦1 and D=diam.supp. g.",

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AU - Jaffe, Arthur

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Y1 - 1971/12

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AB - We give a new proof that the locally correct Hamiltonian H(g) is self adjoint, and that the vacuum energy E(g)=inf spectrum H(g) satisfies -O(D)≦E(g), where 0≦g≦1 and D=diam.supp. g.

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JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

IS - 4

ER -

Positivity and self adjointness of the P(φ)₂ Hamiltonian

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