Continuity of Symplectically Adjoint Maps and the Algebraic Structure of Hadamard Vacuum Representations for Quantum Fields on Curved Spacetime
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Publication:4363835
DOI10.1142/S0129055X97000233zbMath0897.53057arXivfunct-an/9609004MaRDI QIDQ4363835
Publication date: 17 June 1998
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/funct-an/9609004
Klein-Gordon equationHaag-dualitylocal von Neumann algebrascontinuity propertieslocal definitenesslocal primarityquasifree Hadamard statessplit propertiessymplectically adjoint operatorstemporal evolution of Cauchy datatype III\(_1\)-properties
Applications of operator theory in the physical sciences (47N50) Quantum field theory on curved space or space-time backgrounds (81T20) PDEs in connection with quantum mechanics (35Q40) Applications of differential geometry to physics (53Z05) Axiomatic quantum field theory; operator algebras (81T05) Applications of selfadjoint operator algebras to physics (46L60) Methods of quantum field theory in general relativity and gravitational theory (83C47) Hyperbolic equations on manifolds (58J45)
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