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    Noether symmetry of F(T) cosmology with quintessence and phantom scalar fields

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    In this paper, we investigate the Noether symmetries of F(T)F(T) cosmology involving matter and dark energy. In this model, the dark energy is represented by a canonical scalar field with a potential. Two special cases for dark energy are considered including phantom energy and quintessence. We obtain F(T)∼T3/4,F(T)\sim T^{3/4}, and the scalar potential V(ϕ)∼ϕ2V(\phi)\sim\phi^2 for both models of dark energy and discuss quantum picture of this model. Some astrophysical implications are also discussed.Comment: 15 pages,4 figure
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