Di.ssol.ved

en.wikipedia.org/wiki/Reincarnation

“Reincarnation is the philosophical or religious concept that an aspect of a living being starts a new life in a different physical body or form after each biological death. (…)

The word “reincarnation” derives from Latin, literally meaning, “entering the flesh again”.

The Greek equivalent metempsychosis (μετεμψύχωσις) derives from meta (change) and empsykhoun (to put a soul into), a term attributed to Pythagoras.

An alternate term is transmigration implying migration from one life (body) to another. 

Reincarnation refers to the belief that an aspect of every human being (or all living beings in some cultures) continues to exist after death, this aspect may be the soul or mind or consciousness or something transcendent which is reborn in an interconnected cycle of existence; (…)

Later Jung would emphasise the importance of the persistence of memory and ego in psychological study of reincarnation:

“This concept of rebirth necessarily implies the continuity of personality… (that) one is able, at least potentially, to remember that one has lived through previous existences, and that these existences were one’s own…””