2D(1+1) Quantum Gravity. Gravitational Quantum Stationary Hamilton-Jacobi Equation

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dc.creatorDjama, T.
dc.date2004-06-28
dc.date.accessioned2026-07-07T04:17:06Z
dc.date.available2026-07-07T04:17:06Z
dc.descriptionIn the present article, we construct a 2D formulation of quantum gravity in the framework of a deterministic theory. In this context, a Quantum stationary Hamilton-Jacobi equation is derived from the Klein- Gordon equation written in the presence of a gravitational field. We show that this equation reduces to the Quantum stationary Hamilton- Jacobi equation when the gravitational field is not present in the 2D time-space. As a second step, we introduce the quantum gravitational Lagrangian for the quantum motion of a particle moving in the presence of a gravitational field. We, deduce the relationship between the gravitational quantum conjugate momentum and the velocity of the particle.
dc.descriptionLatex, no figures, 19 pages
dc.identifierhttps://arxiv.org/abs/hep-th/0406255
dc.identifierhttp://arxiv.org/abs/hep-th/0406255
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/52623
dc.subjectHigh Energy Physics - Theory
dc.title2D(1+1) Quantum Gravity. Gravitational Quantum Stationary Hamilton-Jacobi Equation
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