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Quantum Algorithms

Aharonov-Bohm effects on the GUP framework

arXiv
Authors: Baoyu Tan

Year

2024

Paper ID

38190

Status

Preprint

Abstract Read

~2 min

Abstract Words

78

Citations

N/A

Abstract

Modifying the fundamental commutation relation of quantum mechanics to reflect the influence of gravity is an important approach to reconcile the contradiction between quantum field theory and general relativity. In the past two decades, researchers have conducted extensive research on geometric phase problems in non-commutative spaces, but few have mentioned the correction of geometric phase problems using the Generalized Uncertainty Principle (GUP). This paper is the first to study the phase correction of Aharonov-Bohm (AB) effect by GUP.

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  • Modifying the fundamental commutation relation of quantum mechanics to reflect the influence of gravity is an important approach to reconcile the contradiction between quantum...

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