Undergrad System of bosons

[ananonanunes]

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?

 

[PeroK]

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?

The whole wave function must be symmetric. The components may both be antisymmetric.

 

[Paul Colby]

With more than two particles things become more complicated. The space and spin wave functions can have mixed symmetry, neither symmetric nor asymmetric. The net function must be symmetric, though.