American Journal of Physics
The fraction of “all different” combinations: Justifying the semiclassical partition function
Ralph F. Baierlein
Abstract
Modern statistical mechanics directly acknowledges the indistinguishability of identical particles, a characteristically quantum property. Under laboratory conditions such that classical physics ought to suffice for most purposes, the indistinguishability is often incorporated by a judicious division by N!. This paper explores a common justification for that procedure—and finds it wanting. Nonetheless, the procedure is valid, but for a different reason.