Affine Coherent States in Quantum Cosmology

TL;DR

This paper explores the use of affine coherent states to improve quantum cosmological models, resolving singularities and enabling consistent semi-classical descriptions across various cosmological scenarios.

Contribution

It introduces a novel application of affine coherent states in quantum cosmology, addressing singularities and self-adjointness issues in quantum models.

Findings

Resolves classical singularities with affine coherent states

Ensures self-adjoint Hamiltonians without boundary conditions

Provides consistent semi-classical descriptions of quantum cosmological models

Abstract

A brief summary of the application of coherent states in the examination of quantum dynamics of cosmological models is given. We discuss quantization maps, phase space probability distributions and semiclassical phase spaces. The implementation of coherent states based on the affine group resolves the hardest singularities, renders self-adjoint Hamiltonians without boundary conditions and provides a completely consistent semi-classical description of the involved quantum dynamics. We consider three examples: the closed Friedmann model, the anisotropic Bianchi Type I model and the deep quantum domain of the Bianchi Type IX model.