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chap03-removed.tex
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\section{References}
\begin{enumerate}
\item Unpublished calculations by Wadt, Olafson and Goddard.
\item D. R. Bates, K. Ledsham, and A. L. Stewart, in Phil. Trans. Roy. Soc.,
vol. A246, page 215 (1953).
\item S. K. Luke, G. Hunter, R. P. McFachran, and M. Cohen, in JCP, Vol. 50,
page 1644 (1969).
\item G. Hunter and H. 0. Pritchard, in JCP, Vol. 46, page 2153 (1967).
\item J. C. Slater, in Phys. Rev., vol. 36, page 57 (1930).
\item A. D. McLean, A. Weiss, and M. Yoshimine, in Rev. Mod. Phys., vol. 32,
page 211 (1960).
\item W. Kolos and L. Wolniewicz, in JCP, vol. 41, page 3663 (1964).
\item D. R. Hartree, in Proc. Camb. Phil. Soc., vol. 21, page 625 (1923).
\item D. R. Hartree, in Proc. Camb. Phil. Soc., vol. 24, pages 89 and 111
(1927)
\item J. C. Slater, in Phys. Rev., vol. 35, page 210 (1930).
\item V. Fock, in Z. Physik, vol. 61, page 126 (1930).
\item C. C. J. Roothaan, in Rev. Mod. Phys., vol. 23, page 69 (1951). G. C.
Hall, in Proc. Roy. Soc., vol. A205, page 541 (1951).
\item C. A. Coulson, in Proc. Camb. Phil. Soc., vol. 34, page 204 (1938).
\item T. Koopmans, in Physica, vol. 1, page 104 (1933).
\item J. N. Silverman, 0. Platas, and F. A. Matson, in J. Chem. Phys., vol.
32, page 1402 (1960).
\item W. A. Goddard, in J. Chem. Phys., vol. 48, page 5337 (1968).
\item G. Das and A. C. Wahl, in J. Chem. Phys., vol. 44, page 87 (1966).
\item E. R. Davidson and L. L. Jones, in J. Chem. Phys., vol. 37, page 2966
(1962)
\item P. S. Bagus, T. L. Gilbert, H. D. Cohen, and C. C. J. Roothaan,
unpublished (1966).
\item C. C. J. Roothaan, L. M. Sachs, and A. W. Weiss, in Rev. Mod. vol. 32,
page 186 (1960).
\item C. L. Pekeris, in Phys. Rev., vol. 112, page 1649 (1958).
\item W. A. Goddard III, in Phys. Rev., vol. 172, page 7 (1968).
\item A. W. Weiss, in Phys. Rev., vol. 122, page 1826 (1961).
\item W. A. Goddard III, in J. Chem. Phys., vol. 48, page 1008 (1968).
\item R. J. Blint and W. A. Goddard III, unpublished results.
\item C. L. Pekeris, in Phys. Rev., vol. 115, page 1216 (1950).
\item N. Sabelli and J. Hinze, in J. Chem. Phys., vol. 50, page 684 (1969).
\item S. Fraga and B. J. Ransil, in J. Chem. Phys., vol. 35, page 1967 (1961).
\item P. E. Cade, private communication (1966).
\end{enumerate}
\noindent{{\bf 3.10 Exercises}}
From Section 3.2. (a) Derive the energy expression (17). (b) Consider
$ze^{-\alpha r^2}$ as an approximation to the $2p$ orbital of hydrogen
atom. Find the optimum $\alpha$. (c) How would you proceed to obtain a
corresponding approximation to the $2s$ orbital of hydrogen atom?
\medskip
\parindent=1.0truein
\subsection{Exercises}
\begin{enumerate}
\item From Appendix C. Carry through the analysis of equation
\ref{chap3app-eqno18} for a wavefunction of the form $\varphi(1)
\theta(2)$ where
\begin{equation}
\varphi(1) = Ne^{- \zeta r_1}
\end{equation}
and
\begin{equation}
\theta (2) = N^{\prime} e^{- \eta r_2}
\end{equation}
with $\zeta$ and $\eta$ different.
\item From Appendix D. Expand the $M(\eta)$ expression for the MBS
wavefunction in terms of $P_\ell(\eta)$ and compare with the Bates et
al. wavefunction.
\end{enumerate}