Example of transformation to HLSP functions

2 Example of transformation to HLSP functions The permutations we use are based upon the particle label tableau 

This result does not quite finish the problem, however, in that it deals with wwnorma-lized fimctions. The coefihcients that we show are given assuming the tableau functions of either sort are individually normalized to 1. We must therefore consider some normalization integrals. 

The normalization and overlap integrals of the two standard tableaux functions may be written as a matrix 

The corresponding normalization and overlap integrals for the HLSP functions are then obtained with the transformation of Eq. (10.22), 

It is seen that the two diagonal elements of are equal, reflecting the symmetrical equivalence of the two Rumer tableaux and diagrams. The coefficients in the wave functions Eqs. (10.15) and (10.16) are all appropriate for each individual tableau function s being normalized to 1. Therefore, (1 / )6J fVJ f2 p lp22p isanor- 

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