Quantum Newtonian cosmology revisited

Abstract

We formulate the Lagrangian of the Newtonian cosmology where the cosmological constant is also introduced. Following the affine quantization procedure, the Hamiltonian operator is derived. The wave functions of the Newtonian universe and the corresponding eigenvalues for the case of matter dominated by a negative cosmological constant are given.

arXiv comment11 pages

References in corpus (6)

• Smooth Big Bounce from Affine Quantization
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• The Utility of Affine Variables and Affine Coherent States
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Cited by in corpus (1)

• Emergent $\Lambda$CDM cosmology from a measure-induced deformation of the Newtonian action