Geometric Phase in Vacuum Instability:APPLICATIONS in Quantum Cosmology
D. P. Datta
Abstract
Three different methods viz. i) a perturbative analysis of the Schrödinger 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
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