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A New Perspective on Path Integral Quantum Mechanics in Curved Space-Time.
- Source :
-
EPJ Web of Conferences . 2013, Issue 58, p1-5. 5p. - Publication Year :
- 2013
-
Abstract
- A new approach to path integral quantum mechanics in curved space-time is presented for scalar particle propagation, expressed in terms of Lie transport and Fermi or Riemann normal co-ordinates to describe local curvature. While the presence of local curvature results in a strictly non-unitary representation of local time translation, the formalism nevertheless correctly recovers the free-particle Lagrangian in curved space-time, along with new terms that predict a simultaneous breakdown of time-reversal symmetry and a quantum violation of the weak equivalence principle at the particle's Compton wavelength scale. Furthermore, the formalism reveals the prediction of a gauge-invariant phase factor interpreted as the gravitational Aharonov-Bohm effect and Berry's phase? [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 21016275
- Issue :
- 58
- Database :
- Academic Search Index
- Journal :
- EPJ Web of Conferences
- Publication Type :
- Conference
- Accession number :
- 90226759
- Full Text :
- https://doi.org/10.1051/epjconf/20135801011