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

In this paper, we investigate the Noether symmetries of 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) similar to T-3/4, and the scalar potential V(phi) similar to phi(2) for both models of dark energy and discuss quantum picture of this model. Some astrophysical implications are also discussed.