Abstract
We revisit the treatment of identical particles in quantum mechanics. Two kinds of solutions of the Schrödinger equation are found and analysed. First, are the known symmetrized and antisymmetrized eigenfunctions. We examine how the very concept of particle is blurred within 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.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
