Loop variables and gravitational Berry's quantum phase in the space-time of a rotating massive body

J. G. de Assis; V. B. Bezerra; C. Furtado

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arXiv · gr-qc/0307107

Loop variables and gravitational Berry's quantum phase in the space-time of a rotating massive body

J. G. de Assis·V. B. Bezerra·C. Furtado

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Abstract

In this paper we compute the holonomies along curves in the gravitational field of a slowly rotating massive body. We use our results to study the gravitational analogue of Aharanov-Bohm effect in this space-time. We also investigate the behaviour of a scalar quantum particle in this space-time and determine Berry's quantum phase acquired by this particle when transported along a closed curve surrounding the body.

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J. G. de Assis, V. B. Bezerra, C. Furtado. 2003-07-24. Loop variables and gravitational Berry's quantum phase in the space-time of a rotating massive body. https://arxiv.org/abs/gr-qc/0307107

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