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Closed Form Solutions For The Quantum LRS Bianchi IX and VIII Wheeler DeWitt Equations For An Arbitrary Hartle-Hawking Ordering Parameter

2020/01/29 by Daniel Berkowitz, Berkowitz, Daniel
Physics and Astronomy · #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Quantum Electrodynamics and Casimir Effect #Quantum Mechanics and Applications

paper · pdf · doi:10.48550/arxiv.2001.10644

openalex publication_date 2020/01/29 · openalex created_date 2020/02/07 · openalex updated_date 2026/07/28

Abstract

In this paper we present the quantum LRS Bianchi IX models or, as they may be better known, the Taub-NUT models in addition to the quantum LRS Bianchi VIII models, both coupled to a stiff matter source. We solve their Wheeler DeWitt equations for an arbitrary Hartle-Hawking ordering parameter using separation of variables. Afterwards we construct a superposition of their respective wave functions and discuss some of the interesting qualitative properties they possess.

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