Collect. Czech. Chem. Commun. 2004, 69, 105-120
https://doi.org/10.1135/cccc20040105

Convergence Enhancement in Perturbation Theory

Peter R. Surján* and Ágnes Szabados

Department of Theoretical Chemistry, Eötvös University, P.O. Box 32, H-1518 Budapest 112, Hungary

References

1. Kato T.: Perturbation Theory for Linear Operators. Springer, Berlin 1966.
2. Surján P. R., Szabados Á.: J. Chem. Phys. 2000, 112, 4438. <https://doi.org/10.1063/1.481006>
3. Helgaker T., Jørgensen P., Olsen J.: Molecular Electronic-Structure Theory. John Wiley & Sons Ltd., Chichester 2000.
4. Kutzelnigg J. W.: Modern Theoretical Chemistry, The Methods of Electronic Structure Theory, Vol. 3, p. 129. Plenum, New York 1977.
5. Paldus J., Čížek J.: Adv. Quantum Chem. 1975, 9, 105. <https://doi.org/10.1016/S0065-3276(08)60040-4>
6. Löwdin P. O. (Ed.): Int. J. Quantum Chem. 1981, 21, 1. <https://doi.org/10.1002/qua.560210102>
7. Surján P. R.: Second Quantized Approach to Quantum Chemistry. Springer, Heidelberg 1989.
8. Surján P. R., Szabados Á.: Int. J. Quantum Chem. 1998, 69, 7123. <https://doi.org/10.1002/(SICI)1097-461X(1998)69:6<713::AID-QUA3>3.0.CO;2-Y>
9. Szabados Á., Surján P. R.: Int. J. Quantum Chem. 2003, 92, 160. <https://doi.org/10.1002/qua.10502>
10. Szabados Á.: Ph.D. Thesis. Eötvös University, Budapest 2001.
11. Wilson S., Jankowski K., Paldus J.: Int. J. Quantum Chem. 1984, 23, 1781. <https://doi.org/10.1002/qua.560230508>
12. Hegarty D., Robb M. A.: Mol. Phys. 1979, 37, 1455. <https://doi.org/10.1080/00268977900101061>
13. Kaldor U.: Int. J. Quantum Chem. 1985, 28, 103. <https://doi.org/10.1002/qua.560280108>
14. Shavitt I., Redmon L. T.: J. Chem. Phys. 1980, 73, 5711. <https://doi.org/10.1063/1.440050>
15. Mášik J., Hubač I., Mach P.: Int. J. Quantum Chem. 1995, 53, 207. <https://doi.org/10.1002/qua.560530207>
16. Alexandrov V. I., Zaitevskii A. V., Dementev A. I.: Chem. Phys. Lett. 1993, 218, 206. <https://doi.org/10.1016/0009-2614(93)E1441-I>
17. Zarrabian S., Paldus J.: Int. J. Quantum Chem. 1990, 38, 761. <https://doi.org/10.1002/qua.560380602>
18. Feenberg E.: Phys. Rev. 1956, 103, 1116. <https://doi.org/10.1103/PhysRev.103.1116>
19. Goldhammer P., Feenberg E.: Phys. Rev. 1955, 101, 1233. <https://doi.org/10.1103/PhysRev.101.1233>
20. Forsberg B., He Z., He Y., Cremer D.: Int. J. Quantum Chem. 2000, 75, 306. <https://doi.org/10.1002/(SICI)1097-461X(2000)76:3<306::AID-QUA2>3.0.CO;2-0>
21. Amos A. T.: J. Chem. Phys. 1970, 52, 603. <https://doi.org/10.1063/1.1673029>
22. Dietz K., Schmidt Ch., Warken M., Hess B. A.: J. Phys. B: At., Mol. Opt. Phys. 1993, 26, 1885. <https://doi.org/10.1088/0953-4075/26/13/012>
23. Dietz K., Schmidt Ch., Warken M., Hess B. A.: J. Phys. B: At., Mol. Opt. Phys. 1993, 26, 1897. <https://doi.org/10.1088/0953-4075/26/13/013>
24. Finley J. P., Chaudhuri R. K., Freed K. F.: J. Chem. Phys. 1995, 103, 4990. <https://doi.org/10.1063/1.470586>
25. Finley J. P., Chaudhuri R. K., Freed K. F.: Phys. Rev. A: At., Mol., Opt. Phys. 1996, 54, 343. <https://doi.org/10.1103/PhysRevA.54.343>
26. Chaudhuri R. K., Finley J. P., Freed K. F.: J. Chem. Phys. 2001, 106, 4067. <https://doi.org/10.1063/1.473188>
27. Szabados Á., Surján P. R.: Chem. Phys. Lett. 1999, 308, 303. <https://doi.org/10.1016/S0009-2614(99)00647-8>
28. Witek H. A., Nakano H., Hirao K.: J. Chem. Phys. 2003, 118, 8187. <https://doi.org/10.1063/1.1563618>
29. Witek H. A., Nakano H., Hirao K.: J. Comput. Chem. 2003, 24, 1390. <https://doi.org/10.1002/jcc.10311>
30. Rolik Z., Szabados Á., Surján P. R.: J. Chem. Phys. 2003, 119, 1922. <https://doi.org/10.1063/1.1584424>
31. Surján P. R., Szabados Á., Szekeres Zs.: Int. J. Quantum Chem. 2002, 90, 1309. <https://doi.org/10.1002/qua.10382>
32. Lindgren I., Morrison J.: Atomic Many-Body Theory. Springer, Berlin 1986.
33. Surján P. R., Köhalmi D., Szabados Á.: Collect. Czech. Chem. Commun. 2003, 68, 331. <https://doi.org/10.1135/cccc20030331>
34. Epstein P. S.: Phys. Rev. 1926, 28, 695. <https://doi.org/10.1103/PhysRev.28.695>
35. Nesbet R. K.: Proc. R. Soc. London, Ser. A 1955, 230, 312. <https://doi.org/10.1098/rspa.1955.0134>
36. Møller C., Plesset M. S.: Phys. Rev. 1934, 46, 618. <https://doi.org/10.1103/PhysRev.46.618>
37. Bender C. M., Wu T. T.: Phys. Rev. 1969, 184, 1231. <https://doi.org/10.1103/PhysRev.184.1231>
38. Simon B.: Ann. Phys. (N. Y.) 1970, 58, 76. <https://doi.org/10.1016/0003-4916(70)90240-X>
39. Shanley P. E.: Phys. Lett. A 1986, 117, 161. <https://doi.org/10.1016/0375-9601(86)90730-9>
40. Čížek J., Vrscay E. R.: Int. J. Quantum Chem. 1982, 21, 27. <https://doi.org/10.1002/qua.560210104>
41. Sergeev A. V., Goodson D. Z.: J. Phys. A: Math. Gen. 1998, 31, 4301. <https://doi.org/10.1088/0305-4470/31/18/018>
42. Bender C. M., Orszag S. A.: Advanced Mathematical Methods for Scientists and Engineers. McGraw–Hill, New York 1978.