A system of bosons is described by a wave function that must be symmetric overall. While the spatial and spin functions can individually be antisymmetric, the combined wave function must maintain symmetry. In systems with more than two particles, the complexity increases, allowing for mixed symmetry in the space and spin wave functions. However, the net wave function remains symmetric regardless of the individual symmetries of its components.
PREREQUISITESPhysicists, quantum mechanics students, and researchers interested in the behavior of bosonic systems and wave function symmetry.
The whole wave function must be symmetric. The components may both be antisymmetric.ananonanunes said:If I have a system of bosons described by a wave function that can be separated into a spatial function and a spin function, do the spatial and spin functions have to be both symetric? Or can they be anti-symetric and symetry be attained only when we consider the whole wave function?