Scalar field cosmology: its non-linear Schr\"{o}dinger-type formulation

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Gumjudpai, Burin
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Abstract
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Scalar field cosmology is a model for dark energy and inflation. It has been recently found that the standard Friedmann formulation of the scalar field cosmology can be expressed in a non-linear Schr\"{o}dinger-type equation. The new mathematical formulation is hence called non-linear Schr\"{o}dinger (NLS) formulation which is suitable for a FRLW cosmological system with non-negligible barotropic fluid density. Its major features are reviewed here.
Comment: 10 pages, 4 figures, invited review monograph in chapter 4 of book "Dark Energy Current Advances and Ideas" (Research Signpost)
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General Relativity and Quantum Cosmology, Astrophysics - Cosmology and Nongalactic Astrophysics, Quantum Physics
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