screened (Yukawa type) Coulomb potential



Dear all,
  I'm formulating the SCF using screened Coulomb potential
 (Yukawa potential). In calculating matrix elements, I must
 evaluate the integral such as:
       int[0-1] t^{2m}*exp(-A*t^{2}-B*t^{-2}) dt
              (A,B are given constants)
 in which only difference between usual Coulomb potential case
 is the factor exp(-B*t^{-2}) (and that the constant A may be complex,
 because I use gaussian and plane-wave as basis sets).
 This factor is due to using screened Coulomb potential
 (Yukawa potential) exp(-lambda * r)/r instead of 1/r
 (lambda is screening constant). It looks like to be calculated by
 N-point quadrature, but I don't know the abscissas and weight
 factors for weight function exp(A*t^{2}-B*t^{-2}) with interval
 [0,1]. Do I have to generate them myself, by the method in ,
 for example, "Numerical Recipes in Fortran", or can I find
 them in some early works or references ?
 Any references are wellcome.
 Thanks in advance,
 Yosinobu
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 Akinaga Yoshinobu
 Department of Applied Chemistry, Graduate School of Engineering,
 University of Tokyo,
 Tokyo 113-8656, Japan
 tel : 03-3812-2111(7252),  E-mail : akinaga "-at-" qcl.t.u-tokyo.ac.jp
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