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Open Quantum Systems Decoherence Quantum Simulation

Power-law expansion cosmology in Schrödinger-type formulation

arXiv
Authors: Burin Gumjudpai

Year

2007

Paper ID

49253

Status

Preprint

Abstract Read

~2 min

Abstract Words

96

Citations

N/A

Abstract

We investigate non-linear Schrödinger-type formulation of cosmology of which our cosmological system is a general relativistic FRLW universe containing canonical scalar field under arbitrary potential and a barotropic fluid with arbitrary spatial curvatures. We extend the formulation to include phantom field case and we have found that Schrödinger wave function in this formulation is generally non-normalizable. Assuming power-law expansion, a sim tq, we obtain scalar field potential as function of time. The corresponding quantities in Schrödinger-type formulation such as Schrödinger total energy, Schrödinger potential and wave function are also presented.

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  • We investigate non-linear Schrödinger-type formulation of cosmology of which our cosmological system is a general relativistic FRLW universe containing canonical scalar field...

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