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.

11 pages

References in corpus (3)

• Affine quantization of Black Holes: thermodynamics, singularity removal and displaced horizons
• Solving oscillations problems through affine quantization
• Note on Quantum Newtonian Cosmology

Cited by in corpus (1)

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