The Hamiltonians of Linear Quantum Fields: I. Existence Theory

dc.creatorHelfer, Adam D.
dc.date1999-08-02
dc.date2003-08-13
dc.date.accessioned2026-07-07T04:26:48Z
dc.date.available2026-07-07T04:26:48Z
dc.descriptionFor linear scalar field theories, I characterize those classical Hamiltonian vector fields which have self-adjoint operators as their quantum counterparts. As an application, it is shown that for a scalar field in curved space-time (in a Hadamard representation), a self-adjoint Hamiltonian for evolution along the unit timelike normal to a Cauchy surface exists only if the second fundamental form of the surface vanishes identically.
dc.description30 pages, Latex2e with AMS packages
dc.identifierhttps://arxiv.org/abs/hep-th/9908011
dc.identifierhttp://arxiv.org/abs/hep-th/9908011
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/56188
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Hamiltonians of Linear Quantum Fields: I. Existence Theory
dc.typetext

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