Supersymmetric Quantum Mechanics for Bianchi Class A models
J. Socorro, E. R. Medina
TL;DR
This paper develops supersymmetric quantum mechanics solutions for all Bianchi Class A cosmological models, providing a unified expression for the wave function components and advancing the understanding of quantum cosmology.
Contribution
It introduces a general framework for supersymmetric quantum solutions applicable to all Bianchi Class A models, using a novel ansatz for the master equations.
Findings
Derived a general expression for wave function components in Bianchi models
Successfully applied supersymmetric quantum mechanics to cosmological solutions
Enhanced the theoretical understanding of quantum states in anisotropic universes
Abstract
In this work we present cosmological quantum solutions for all Bianchi Class A cosmological models obtained by means of supersymmetric quantum mechanics . We are able to write one general expression for all bosonic components occuring in the Grassmann expansion of the wave function of the Universe for this class of models. These solutions are obtained by means of a more general ansatz for the so-called master equations.
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