Abstract
In this article we consider the many-body perturbation theory and its formulation within the algebraic approximation, that is using finite sets of analytic basis functions.
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References
K.A. Brueckner, Phys. Rev. 100, 36 (1955)
J. Goldstone, Proc. Roy. Soc. (London) A 239, 267 (1957)
N.M. Hugenholtz, Physica 23, 481 (1957)
N.H. March, W.H. Young and S. Sampanthar, The many body problem inquantum mechanics, Cambridge University Press, 1967
R. Feynman, Phys. Rev. 76, 769 (1949)
F.J. Dyson, Phys. Rev. 75, 1736 (1949)
G.C. Wick, Phys. Rev. 80, 268 (1950)
B.H. Brandow, Rev. Mod. Phys. 39, 771 (1967)
P. Čársky and M. Urban, Ab initio Calculations. Methods and Applications in Chemistry (Springer, Berlin, 1980)
S. Wilson, Specialist Periodical Reports: Theoretical Chemistry 4 1 (1981)
R.J. BartLett., Ann. Rev. Phys. Chem. 32, 359 (1981)
I. Lindgren and J. Morrison, Atomic Many-Body Theory (Springer, Berlin, 1982)
S. Wilson, in: Methods in Computational Molecular Physics, eds. G.H.F. Diercksen and S. Wilson, (Reidel, Dordrecht, 1983)
S. Wilson, Comput. Phys. Reports 2, 389 (1985)
K. Jankowski, Meth. Comput. Chem. 1, 1 (1987)
M. Urban, I. Cernusak, V. Kello and J. Noga, Meth. Comput. Chem 1, 117 (1987)
J.A. Pople, R. Krishnan, H.B. Schlegel and J.S. Binkley, Intern. J. Quantum Chem. 14 545 (1978)
P.J. Knowles, K. Somasundram, N.C. Handy and K. Hirao, Chem. Phys. Lett. 113 8(1985)
S. Wilson and V.R. Saunders, Comput. Phys. Commun. 19, 293 (1980)
M.F. Guest and S. Wilson, in: Supercomputers in Chemistry, ed. P. Lykos and I. Shavitt (American Chemical Society, Washington D.C., 1981) p. l
S. Wilson, in Proceedings of Fifth Seminar on Computational Problems in Quantum Chemistry, Groningen, eds. P.Th. van Duijknen and W.C. Nieuwpoort, 1981
P.A.M. Dirac, The Principles of Quantum Mechanics, Clarendon Press, Oxford, 4th edition, 1958
B. Simon, Ann. Phys. 58, 76 (1970)
C.M. Bender and T.T. Wu, Phys. Rev. 184, 1231 (1969)
U. Kaldor, Phys. Rev. A7, 427 (1973)
S. Wilson and D.M. Silver, Phys. Rev. A14, 1949 (1976)
C. Møller and M.S. Plesset, Phys. Rev. 46, 618 (1934)
S. Huzinaga, Comput. Phys. Repts. 2, 279 (1985)
E.R. Davidson and D. Feller, Chem. Rev. 86, 681 (1986)
S.J. Chakravorty, G. Corongiu, J.R. Flores, V. Sonnad, E. Clementi, V. Carravetta and I. Cacelli, in Modern Techniques in Computational Chemistry, p. 81„ ESCOM, Leiden, (1989)
C. Schwartz, Meth. Comput. Phys. 2, 241 (1963)
C.M. Reeves, J. Chem. Phys. 39, 11 (1963)
K. Ruedenberg, R.C. Raffenetti and R. Bardo, in Energy, Structure and Reactivity, (Proc. 2nd Boulder Res. Conf. Theor. Chem.), Wiley, New York (1973)
R.C. Raffenetti, J. Chem. Phys. 58, 4452, (1973)
R.C. Raffenetti, J. Chem. Phys. 59, 5936, (1973)
R.C Raffenetti and K. Ruedenberg, J. Chem. Phys. 59, 5978, (1973)
R. Bardo and K. Ruedenberg, J. Chem. Phys. 59, 5956 (1973)
R. Bardo and K. Ruedenberg, J. Chem. Phys. 59, 5966 (1973)
R. Bardo and K. Ruedenberg, J Chem. Phys. 60, 918 (1974)
S. Wilson and D.M. Silver, J. Chem. Phys. 66, 5400 (1977)
C.W. Bauschlicher and P.R. Taylor, J. Chem. Phys. 85, 2779 (1986)
D.M. Silver, S. Wilson and W.C. Nieuwpoort, Intern. J. Quantum Chem. 14, 635 (1978)
D.M. Silver and S. Wilson, J. Chem. Phys. 69, 3787 (1978)
D.M. Silver and W.C. Nieuwpoort, Chem. Phys. Lett. 57, 421 (1978)
S. Wilson and D.M. Silver, J. Chem. Phys. 72, 2159 (1980)
S. Wilson and D.M. Silver, J. Chem. Phys. 77, 3674 (1982)
D.F. Feller and K. Ruedenberg, Theoret. chim. Acta. 52, 231 (1979)
M.W. Schmidt and K. Ruedenberg, J. Chem. Phys. 71, 3951 (1979)
S. Wilson, Theoret. chim. Acta. 57, 53 (1980)
S. Wilson, Theoret. chim. Acta. 58, 31 (1980)
E. Clementi, G. Corongiu, M. Gratarola, P. Habitz, C. Lupo, P. Otto and D. Vercauteren, Intern. J. Quantum Chem. Symp. 16, 409 (1982)
E. Clementi, G. Corongiu and S. Chakravorty, in Modern Techniques in Computational Chemistry, p. 343, ESCOM, Leiden, (1990)
S. Wilson, Comput. Phys. Commun. 58, 71 (1990)
S. Wilson, Electron correlation in molecules, Clarendon Press, Oxford, (1984)
S. Wilson, in Methods in Computational Molecular Physics, edited by G.H.F. Diercksen and S. Wilson, Reidel, Dordrecht, (1983)
S. Wilson, Adv. Chem. Phys. 67, 439 (1987)
H.F. Schaefer III, Quantum Chemistry — The development of ab initio methods in molecular electronic structure theory, Clarendon Press, Oxford, (1984)
C.F. Fischer, The Hartree-Fock Method for Atoms, Wiley, New York (1977)
I.P. Grant, Meth. Comput. Chem. 2, 1 (1988)
L. Laaksonen, P. Pyykkö and D. Sundholm, Chem. Phys. Lett. 96, 1 (1983)
L. Laaksonen, P. Pyykkö and D. Sundholm, Intern. J. Quantum Chem. 23, 309 (1983)
L. Laaksonen, P. Pyykkö and D. Sundholm, Intern. J. Quantum Chem. 23, 319 (1983)
L. Laaksonen, P. Pyykkö and D. Sundholm, Comput. Phys. Repts. 4, 313 (1986)
P. Pyykkö, in Numerical Determination of the Electronic Structure of Atoms, Diatomic and Polyatomic Molecules, edited by M. Defranceschi and J. Delhalle, Kluwer, Dordrecht, (1989)
D.L. Cooper and S. Wilson, J. Chem. Phys. 77, 5053 (1982)
D.L. Cooper and S. Wilson, J. Chem. Phys. 77, 4551 (1982)
D.L. Cooper and S. Wilson, J. Chem. Phys. 78, 2456 (1983)
B.H. Wells and S. Wilson, J. Phys. B: At. Mol. Phys. 18, L731 (1985)
B.H. Wells and S. Wilson, J. Phys. B: At. Mol. Phys. 19, 17 (1986)
J.W. Thompson and S. Wilson, J. Phys. B: At. Mol. Phys. 23, 2205 (1990)
H.M. Quiney, I.P. Grant and S. Wilson, in Numerical Determination of the Electronic Structure of Atoms, Diatomic and Polyatomic Molecules, edited by M. Defranceschi and J. Delhalle, Kluwer, Dordrecht, (1989)
H. Muntz, Festschrift H.A. Schwartz, 303 (1914)
O. Szasz, Math. Ann. 77 (1926)
B.J. Klahn, J. Chem. Phys. 83, 5749 (1985)
N.H.F. Beebe and J. Linderberg, Intern. J. Quantum Chem. 12, 683
S. Wilson, Comput. Phys. Comm. 58, 71 (1990)
S. Wilson, in The Effects of Relativity in Atoms, Molecules and the Solid State, edited by S. Wilson, I.P. Grant and B.L. Gyorffy, Plenum Press (1991)
H.M. Quiney, I.P. Grant and S. Wilson, J. Phys. B: At. Mol. Phys. 18, 577 (1985)
A. Dalgarno and J.T. Lewis, Proc. Roy. Soc. A 233, 70 (1955)
P.J. Rossky and M. Karplus, J. Chem. Phys. 67, 5419 (1977)
S. Wilson, Adv. Chem. Phys. 67, 439 (1987)
A.-M. MÃ¥rtensson-Pendrill, S.A. Alexander, L. Adamowicz, N. Oliphant, J. Olsen, P. Oster, H.M. Quiney, S. Salomonson and D. Sundholm, Phys. Rev. A43, 3355 (1991)
A.-M. Mârtensson-Pendrill and S. Wilson (work in progress)
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Wilson, S. (1992). The Perturbation Theory of Electron Correlation: II. Many-Body Perturbation Theory and the Algebraic Approximation. In: Wilson, S., Diercksen, G.H.F. (eds) Methods in Computational Molecular Physics. NATO ASI Series, vol 293. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-7419-4_9
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DOI: https://doi.org/10.1007/978-1-4615-7419-4_9
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