Wavefunctions of systems containing many identical particles are symmetric or anti-symmetric under interchange of the labels on any two particles is determined by the nature of the particles themselve...Wavefunctions of systems containing many identical particles are symmetric or anti-symmetric under interchange of the labels on any two particles is determined by the nature of the particles themselves . Wavefunctions that are symmetric under label interchange are said to obey Bose-Einstein statistics , and are called bosons. For instance, photons are bosons. Wavefunctions that are anti-symmetric under label interchange are said to obey Fermi-Dirac statistics , and are called fermions.
The indistinguishability of identical particles means that we have to adjust our quantum mechanical description of these objects. There are two ways of doing this, namely via a modification of the all...The indistinguishability of identical particles means that we have to adjust our quantum mechanical description of these objects. There are two ways of doing this, namely via a modification of the allowed states and via a restructuring of the observables. In this section we consider the restricted state space, and in the next we will be considering the new observables.