Quantum geometric phase with initial state index dependent on space-time curvature

Fuente: arXiv
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Auteur principal: Frugone, Jose Alberto Pereira
Format: Preprint
Publié: 2025
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author Frugone, Jose Alberto Pereira
author_facet Frugone, Jose Alberto Pereira
contents We introduce a new way of generating the quantum geometric phase by making the initial base state index dependent on space-time curvature. We prove that the resulting Schrödinger equation is identical to the trace form of the Einstein gravitational field equations when we are in the adiabatic approximation. This particular initial condition was proposed in a previous work by the author.
format Preprint
id arxiv_https___arxiv_org_abs_2508_13211
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quantum geometric phase with initial state index dependent on space-time curvature
Frugone, Jose Alberto Pereira
Quantum Physics
General Relativity and Quantum Cosmology
We introduce a new way of generating the quantum geometric phase by making the initial base state index dependent on space-time curvature. We prove that the resulting Schrödinger equation is identical to the trace form of the Einstein gravitational field equations when we are in the adiabatic approximation. This particular initial condition was proposed in a previous work by the author.
title Quantum geometric phase with initial state index dependent on space-time curvature
topic Quantum Physics
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2508.13211