Transformations between standard tableaux and HLSP functions

5 Transformations between standard tableaux and HLSP functions 

Since the standard tableaux functions and the HLSP functions span the same vector space, a linear transformation between them is possible. Specifically, it would appear that the task is to determine the a,y s in 

In order to see why this modified problem actually serves our purpose, we digress to discuss some results for non-Hermitian idempotents. 

The perceptive reader may already have observed that the functions we use can take many forms. Consider the non-Hermitian idempotent f/g)VJf. Using the permutations interconverting standard tableaux, one finds that (f/g) PMitj S i = 1./ is a set of linearly independent functions (if S has no double occupancy). Defining a linear variation function in terms of these. 

Consider an operator commonly used to determine the charge density  

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