Abstract
The majority of contemporary ab initio calculations have been performed on light atoms and molecules containing them, with which a large part of chemical research is concerned. However, important physical and chemical processes involve heavy atoms, where relativistic effects cannot be ignored. Because relativistic and correlation effects play an essential role in the electronic structure of heavy-atom systems, relativistic many-body theories have become the subject of active research interest in recent years.1 Since relativistic effects can be large and may not always be treated as a small perturbation, it is often necessary to forfeit the Schrödinger equation in favor of the Dirac equation in order to describe the electronic structure of heavy-atom systems.
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References
See e.g. “The effects of relativity in atoms, molecules, and the solid state,” S. Wilson, I.P. Grant and B.L. Gyorffy, ed., Plenum, New York (1991).
W.R. Johnson and J. Sapirstein, Phys. Rev. Lett. 57:1126(1986); W.R. Johnson, S.A. Blundell, and J. Sapirstein, Phys. Rev. A37:307(1988); ibid. A41:1689(1990).
H.M. Quiney, I.P. Grant and S. Wilson, Phys. Scripta 36:460(1987); in: “Many-Body Methods in Quantum Chemistry,” U. Kaldor, ed., Lecture Notes in Chemistry 52, Springer, Heidelberg (1989) p. 307; J. Phys. B23:L271(1990).
Y. Ishikawa, Phys. Rev. A42:1142(1990); Y. Ishikawa and H.M. Quiney, Phys. Rev. A47:1732(1993).
A. Rutkowski, J. Phys. B19:3443(1986); A. Rutkowski and W.H.E. Schwarz, Theoret. Chim. Acta 76:391(1990).
I. Lindgren, in: “Many-Body Methods in Quantum Chemistry,” U. Kaldor, ed., Lecture Notes in Chemistry 52, Springer, Heidelberg (1989) p. 293; Nucl. Instr. Meth. Phys. Res. B31:102(1988).
S.A. Blundell, W.R. Johnson, Z.W. Liu and J. Sapirstein, Phys. Rev. A39:3768(1989); S.A. Blundell, W.R. Johnson, and J. Sapirstein, Phys. Rev. A43:3407(1991).
E. Ilyabaev and U. Kaldor, Chem. Phys. Lett. 194:95(1992); J. Chem. Phys. 97:8455(1992); Phys. Rev. A47:137(1993).
H. Sekino and R.J. Bartlett, Intern. J. Quantum Chem. Symp. 24:241(1990).
E. Lindroth and S. Salomonson, Phys. Rev. A41:4659(1990); E. Lindroth and J. Hvarfner, ibid. A45:2771(1992); E. Lindroth and A. Ynnerman, ibid. A47:961(1993).
E. Eliav, U. Kaldor, and Y. Ishikawa, Phys. Rev. A49:1724(1994).
E. Eliav, U. Kaldor, and Y. Ishikawa, Chem. Phys. Lett. 222:82(1994).
E. Eliav, U. Kaldor, and Y. Ishikawa, Phys. Rev. A50:1121(1994).
E. Eliav, U. Kaldor, and Y. Ishikawa, Phys. Rev. A, in press.
G.E. Brown and D.G. Ravenhall, Proc. Roy. Soc. (London) A208:552(1951); W. Buchmiiller and K. Dietz, Z. Phys. C5:45(1980); J. Sucher, Phys. Rev. A30:703(1984).
M. Douglas and N.M. KrollAnn. Phys. (NY) 82:89(1974).
G. Jansen and B.A. Heß, Phys. Rev. A39:6016(1989).
B.A. Heß, R.J. Buenker, and P. Chandra, Int. J. Quantum Chem. 29:737(1986); G.J. Jansen and B.A. Heß, Chem. Phys. Lett. 160:507(1989); A. Pizco, G. Jansen, and B.A. Heß, J. Chem. Phys. 98:3945(1993); B.A. Heß, Phys. Rev. A32:756(1985); ibid. A33:3742(1986); R. Samzow and B.A. Heß, Chem. Phys. Lett. 184:491(1991); R. Samzow, B.A. Heß, and G. Jansen, J. Chem. Phys. 96:1227(1992).
M. Mittleman, Phys. Rev. A4:893(1971); ibid. A5:2395(1972); J. Sucher, ibid. A22:348(1980); Phys. Scripta 36:271(1987); J. Phys. B21:L585(1988).
I. Lindgren, Intern. J. Quantum Chem. Symp. 12:33(1978); S. Salomonson, I. Lindgren, and A.-M. Mártensson, Phys. Scripta 21:351(1980); I. Lindgren and J. Morrison, “Atomic Many-Body Theory,” 2nd ed., Springer, Berlin (1986).
D. Mukherjee, Chem. Phys. Lett. 125:207(1986); Int. J. Quantum Chem. Symp. 20:409(1986).
W.C. Martin, R. Zalubas, and L. Hagan, “Atomic energy levels - The Rare-Earth Elements,” U.S. National Bureau of Standards, National Standards Reference Data Series, NBS 60, U.S. GPO, Washington, DC (1978).
J.F. Wyart, V. Kaufman, and J. Sugar, Phys. Scr. 22:389(1980).
Z. Cai, V. Meiser Umar, and C. Froese Fischer, Phys. Rev. Lett. 68:297(1992).
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Kaldor, U. (1995). Relativistic Coupled Cluster Calculations. In: Schachinger, E., Mitter, H., Sormann, H. (eds) Recent Progress in Many-Body Theories. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-1937-9_13
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DOI: https://doi.org/10.1007/978-1-4615-1937-9_13
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