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Path-integral quantum cosmology. II. Bianchi type I with volume-dependent source

B. K. Berger

Open publisher page 10 citations

Abstract

The Feynman path-integral formalism is applied to the degrees of freedom of the fluid-filled Kasner (and related) cosmological models. The measure constructed for the vacuum analysis is used to effect the Arnowitt-Deser-Misner reduction to dynamical degrees of freedom within the functional integral. The Hankel transform of the minisuperspace transition amplitude is obtained. A perturbation expansion about the classical vacuum solution is presented.

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What this paper is about

The Feynman path-integral formalism is applied to the degrees of freedom of the fluid-filled Kasner (and related) cosmological models. The measure constructed for the vacuum analysis is used to effect the Arnowitt-Deser-Misner reduction to dynamical degrees of freedom within the functional integral. The Hankel transform of the minisuperspace transition amplitude is obtained. A perturbation expansion about the classical vacuum solution is presented.

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OpenAlex reports 10 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The Feynman path-integral formalism is applied to the degrees of freedom of the fluid-filled Kasner (and related) cosmological models. The measure constructed for the vacuum analysis is used to effect the Arnowitt-Deser-Misner reduction to dynamical degrees of freedom within the functional integral. The Hankel transform of the minisuperspace transition amplitude is obtained. A perturbation expansion about the classical vacuum solution is presented.

Key concepts: Minisuperspace, Path integral formulation, Physics, Mathematical physics, Quantum cosmology, Feynman diagram, Cosmology, Classical mechanics

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