Prof. K. L. Sebastian

COUPLED CLUSTER THEORY


We have (long ago !) developed a time dependent version of the coupled cluster theory (CCT).  The paper referred to below  is one of the first applications for CCT to a genuinely time dependent problem.  The problem involves the neutralization of an ion which is scattered from the surface of  a  metal was studied using  a  time  dependent  version   of   the  Newns-Anderson Hamiltonian.  The procedure consists of solving for  the matrix elements of the  time  evolution  operator  explicitly.  Including coulombic repulsions make the problem a  difficult  many body one.  For ions with closed shells one can get time dependent Hartree-Fock solutions.   It  was  shown  that  this  solution  is defective in that it predicts the probability of neutralization to be less than 0.5.  This means that correlation effects have to  be included for a correct description of the process.   In  order  to account for correlation effects, a time dependent version  of  the coupled cluster  theory  was  used.   Using  this,  neutralization probabilities for  Li+  ions scattered from the  surface  of  Ni  was calculated.  Also the spectrum  of  excitations  produced  in  the solid by the reflected ions have been calculated.   This was one of the first development and application of time dependent coupled cluster  to a genuinely time dependent problem.


 
For more information, please see the listed publications below

  1. K. L. Sebastian: Correlation effects in ion neutralization scattering with the use of  a time dependent coupled cluster approach. Physical Review B, 31, 6976 (1985).


back to main page