  We revisit the treatment of identical particles in quantum mechanics. Two
kinds of solutions of Schr\"{o}dinger equation are found and analyzed. First,
the known symmetrized and antisymmetrized eigenfunctions. We examine how the
very concept of particle is blurred whithin this approach. Second, we propose
another kind of solution with no symmetries that we identify with
Maxwell-Boltzmann statistics. In it, particles do preserve their individuality,
as they are provided with individual energy and momenta. However, these
properties cannot be univocally ascribed; moreover, particles do not possess
distinctive positions. Finally, we explore how these results affect the
calculation of canonical partition function, and we show that extensivity
arises as a consequence of identity.
