Quantum Mechanics and Relativity --- Their Unification by Local Time ---

dc.creatorKitada, Hitoshi
dc.date1996-12-17
dc.date1997-06-05
dc.date.accessioned2026-07-07T08:59:36Z
dc.date.available2026-07-07T08:59:36Z
dc.descriptionA quantum-mechanical Hamiltonian with a gravitational potential is derived in the framework of local times. This Hamiltonian is the one used by E. H. Lieb (Bull. Amer. Math. Soc. 22(1990), 1-49) in his explanation of stability and instability of cold stars. Our procedure deriving the Hamiltonian is based on an analysis of the process of the observation with the background of the notion of quantum-mechanical local times compatible with general theory of relativity.
dc.description31 pages, AmSTeX
dc.identifierhttps://arxiv.org/abs/gr-qc/9612043
dc.identifierhttp://arxiv.org/abs/gr-qc/9612043
dc.identifierSpectral and Scattering Theory, ed. by A. G. Ramm, Plenum Press, New York, 39-66 (1998)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147771
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleQuantum Mechanics and Relativity --- Their Unification by Local Time ---
dc.typetext

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