noun.
Transmigration of the soul; the passing of the soul of a person after death into another body, either that of a human being or that of an animal: a doctrine held by various ancient peoples and by Pythagoras and his followers, and still maintained by Brahmans and some others: also loosely used of such a transfer of the soul of a living person.
the GNU version of the Collaborative International Dictionary of English
noun.
The passage of the soul, as an immortal essence, at the death of the animal body it had inhabited, into another living body, whether of a brute or a human being; transmigration of souls.
WordNet 3.0 Copyright 2006 by Princeton University. All rights reserved.
noun.
after death the soul begins a new cycle of existence in another human body
Word Usage
"The second doctrine is commonly known as metempsychosis, the transmigration of souls or reincarnation, the last name being the most correct."