Minisuperspace Examples of Quantization Using Canonical Variables of the Ashtekar Type: Structure and Solutions
J. Fernando Barbero, Michael P. Ryan, Jr. (Penn State)
TL;DR
This paper explores how canonical transformations of Ashtekar variables lead to new solutions in quantum cosmology, enhancing understanding of quantum gravity models within the minisuperspace framework.
Contribution
It introduces new solutions in minisuperspace quantum cosmology derived from canonical transformations of Ashtekar variables, clarifying their structure and physical interpretation.
Findings
Several new solutions in minisuperspace quantum cosmology.
Canonical transformations reveal the structure of quantum solutions.
Discussion of the physical meaning of these solutions.
Abstract
The Ashtekar variables have been use to find a number of exact solutions in quantum gravity and quantum cosmology. We investigate the origin of these solutions in the context of a number of canonical transformations (both complex and real) of the basic Hamiltonian variables of general relativity. We are able to present several new solutions in the minisuperspace (quantum cosmology) sector. The meaning of these solutions is then discussed.
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