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arxiv: gr-qc/0506041 · v1 · submitted 2005-06-06 · 🌀 gr-qc

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Scalar potentials out of canonical quantum cosmology

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classification 🌀 gr-qc
keywords scalarcanonicalpotentialssolutionsablecalledclassicalcontaining
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Using canonical quantization of a flat FRW cosmological model containing a real scalar field $\phi$ endowed with a scalar potential $V(\phi)$, we are able to obtain exact and semiclassical solutions of the so called Wheeler-DeWitt equation for a particular family of scalar potentials. Some features of the solutions and their classical limit are discussed.

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  1. Simple Analytical Solutions of the Wheeler-DeWitt Equation in the Classical Hamilton-Jacobi Limit

    hep-th 2026-04 unverdicted novelty 5.0

    Imposing |Ψ|=1 on the Wheeler-DeWitt wave function determines the scalar potential form and yields analytical solutions for the scale factor and field in the cosine case with negative cosmological constant.