When talking about identity we separate between two kinds of identity: qualitative identity and numerical identity. Concerning personal identity we are only considering numerical identity, because this sort of identity is the only type regarding the singularity of a person.
This essay first gives an overview about both the personality view and the body view concerning personal identity in the sense of persistence across time. Afterwards it compares them to each other and defines an own position that across time, it is not possible to change your personal identity.