Symmetric properties rotational wave function

The above is a well-understood problem of the BO approximation, and the most accurate calculations of molecular properties takes this into account. A less well understood difference between the physical and chemical pictures is that, in the physical picture, the ground state of any molecule is spherically symmetric. This may be understood in the chemical picture by noting that when all degrees of freedom are taken into account, the total wave function contains the nuclear vibratrional and rotational wave functions as well as the electronic wave function ... 

In addition, it transforms like a two-fermion wave function under rotations in position and spin space and nnder gauge transformations. The transformation properties yield a general classification scheme for the superconducting order parameter which is represented by a 2 x 2-matrix in (psendo-)spin space. It can be decomposed into an antisymmetric (s) and a symmetric (r) contribution according to 2l(k) = 2lj(k) - - f fk) with... 

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