COULOMB "CUT OFF" OR PSEDOPOTENTIALS

[Brian Williams <WILLIAMS \\at// flint.bucknell.edu>]

 I WOULD APPRECIATE SOME HELP/ADVICE ON THE FOLLOWING.  I HAVE FOUND
 WHAT I BELIEVE TO BE AN EXACT ANALYTICAL SOLUTION TO A TYPE OF GENERALIZED
 COULOMB POTENTIAL, WHERE THE DENOMINATOR OF THE COULOMB-LIKE TERM IN THE
 POTENTIAL CONSISTS OF A "R + TAU" TERM, WHERE TAU CAN BE VARIED.
 OTHER
 TERMS IN THIS SOLVABLE QM POTENTIAL INVOLVE REPULSIVE TERMS THAT ARE
 MORE OR LESS RELATED TO AN ANGULAR MOMENTUM LIKE TERM.  AN EARLIER PAPER
 REFERS TO THIS TYPE OF POTENTIAL AS A "CUT OFF" COLOMB POTENTIAL, AND
 SOLVED A LESS GENERAL VERSION OF THE POTENTIAL THAN I THINK I HAVE SOLVED
 HERE.  WHAT I WOULD LIKE TO KNOW IS WHETHER OR NOT A) THIS TYPE OF POTENTIAL
 IS OF USE OR HAS BEEN USED IN MODELING ANY ATOMIC OR MOLECULAR SYSTEMS, AND
 /OR B) WOULD THE WAVEFUNCTIONS SOLVING THIS POTENTIAL HAVE A POSSIBLE USE
 AS A BASIS SET FOR COMPUTATIONAL PROBLEMS. MY BACKGROUND IS NOT IN COMPUTATIONAL
 CHEMISTRY, ALTHOUGH WHAT LITTLE I REMEMBER FROM MY COURSES IN QM SUGGESTS
 TO ME THAT THIS SOLUTION MIGHT BE OF POSSIBLE USE IN MODELLING MULTI-ELECTRON
 ATOMS, WHERE THE VALENCE ELECTRONS ARE VIEWED AS BEING ATTRACTED AND REPELLED
 BY A SCREENED COLOMB-LIKE POTENTIAL. AM I TOTALLY OFF BASE HERE? THE MAIN
 REASON I AM ASKING THE NET FOR HELP IS THAT ALTHOUGH I AM MAINLY CONCERNED
 WITH JUST TRYING TO FIND EXACTLY SOLVABLE QM POTENTIALS, I WOULD LIKE TO
 FIND APPLICATIONS WHEREEVER POSSIBLE. THANKS IN ADVANCE FOR ANY HELP OF
 OR LEADING LITERATURE REFERENCES. BRIAN WILLIAMS, WILLIAMS \\at// BUCKNELL.EDU
 BRIAN WILLIAMS, WILLIAMS \\at// BUCKNELL.EDU