TITLE:
Geometric Phase in General Relativity
AUTHORS:
Yossi Bachar, Lawrence Horwitz
KEYWORDS:
Geometrical Phase, Quantum Theory in General Relativity, Schwarzschild Solution
JOURNAL NAME:
Journal of Modern Physics,
Vol.13 No.9,
September
7,
2022
ABSTRACT: We study the transport of a small wave packet in the embedding of the Stueckelberg-Horwitz-Piron relativistic quantum theory into the manifold of general relativity around the Schwarzschild solution using a semiclassical approximation. We find that the parallel transport of the momentum leads to a geometrical (Berry type) phase.