Background Independent Quantum Mechanics, Metric of Quantum States, and Gravity: A Comprehensive Perspective

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dc.creatorAalok
dc.date2007-01-26
dc.date2008-03-30
dc.date.accessioned2026-07-07T09:28:58Z
dc.date.available2026-07-07T09:28:58Z
dc.descriptionThis paper presents a comprehensive perspective of the metric of quantum states with a focus on the background independent metric structures. We also explore the possibilities of geometrical formulations of quantum mechanics beyond the quantum state space and Kahler manifold. The metric of quantum states in the classical configuration space with the pseudo-Riemannian signature and its possible applications are explored. On contrary to the common perception that a metric for quantum state can yield a natural metric in the configuration space with the limit when Planck constant vanishes, we obtain the metric of quantum states in the configuration space without imposing this limiting condition. Here, Planck constant is absorbed in the quantity like Bohr radii. While exploring the metric structure associated with Hydrogen like atom, we witness another interesting finding that the invariant lengths appear in the multiple of Bohr radii.
dc.description25 Pages;journal reference added:Published in- Int. J. Theor. Phys. 46 (2007) 3216-3229. References revised
dc.identifierhttps://arxiv.org/abs/quant-ph/0701189
dc.identifierhttp://arxiv.org/abs/quant-ph/0701189
dc.identifierInt. J. Theor. Phys. 46 (2007) 3216-3229
dc.identifierdoi:10.1007/s10773-007-9438-7
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/157620
dc.subjectQuantum Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleBackground Independent Quantum Mechanics, Metric of Quantum States, and Gravity: A Comprehensive Perspective
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