Geometric Phase in Vacuum Instability:APPLICATIONS in Quantum Cosmology
General Relativity and Quantum Cosmology
2010-11-01 v1
Abstract
Three different methods viz. i) a perturbative analysis of the Schr\"odinger equation ii) abstract differential geometric method and iii) a semiclassical reduction of the Wheeler-Dewitt equation, relating Pancharatnam phase to vacuum instability are discussed. An improved semiclassical reduction is also shown to yield the correct zeroth order semicalssical Einstein equations with backreaction. This constitutes an extension of our earlier discussions on the topic
Cite
@article{arxiv.gr-qc/9306028,
title = {Geometric Phase in Vacuum Instability:APPLICATIONS in Quantum Cosmology},
author = {D. P. Datta},
journal= {arXiv preprint arXiv:gr-qc/9306028},
year = {2010}
}
Comments
12 Pages, Plain TeX, IUCAA-18/93