Dimensional scaling and renormalization

International Journal of Quantum Chemistry

Volumn 57, Issue 3, 1996, Pages 295-308

  Herschbach, Dudley R ^a  

^a HARVARD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001472525     PISSN: 00207608     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-461X(1996)57:3<295::AID-QUA3>3.0.CO;2-T     Document Type: Article

References (51)

1. L. G. Yaffee, Rev. Mod. Phys. 54, 407 (1982).
2. D. R. Herschbach, J. Avery, and O. Goscinski, Eds., Dimensional Scaling in Chemical Physics (Kluwer, Dordrecht, 1993).
3. J. Rudnick and G. Gaspari, Science 237, 384 (1987).
4. J. G. Loeser, Z. Zheng, S. Kais, and D. R. Herschbach, J. Chem. Phys. 95, 4525 (1991).
5. J. G. Loeser and D. R. Herschbach, J. Chem. Phys. 86, 3512 (1987).
6. D. Z. Goodson and D. R. Herschbach, J. Chem. Phys. 86, 4997 (1987).
7. S. Kais, J. D. Morgan III, and D. R. Herschbach, J. Chem. Phys. 95, 9028 (1991); S. Kais, D. D. Frantz, and D. R. Herschbach, Chem. Phys. 161, 393 (1992).
8. S. Kais, J. D. Morgan III, and D. R. Herschbach, J. Chem. Phys. 95, 9028 (1991); S. Kais, D. D. Frantz, and D. R. Herschbach, Chem. Phys. 161, 393 (1992).
9. A. A. Belov and Yu. E. Lozovik, Sov. Phys. JETP 67, 2413 (1988). First-order 1 / D, bound states for cluster of N identical particles.
10. A. A. Belov and Yu. E. Lozovik, Theor. Math. Phys. 81, 1294 (1989). First-order 1 / D for 3- and 4-particle clusters, dynamical symmetry.
11. A. Holas, P. M. Kozlowski, and N. H. March, J. Phys. A 24, 4249 (1991). Generalize kinetic energy density to D-dimensions.
12. J. M. Rost, S. M. Sung, D. R. Herschbach, and J. S. Briggs, Phys. Rev. A 46, 2410 (1992). Inter-D degeneracies, two-electron doubly excited states.
13. D. Z. Goodson and D. R. Herschbach, Phys. Rev. A 46, 5428 (1992). Approximate 1 / D summation methods.
14. D. Z. Goodson, M. López-Cabrera, D. R. Herschbach, and J. D. Morgan III, J. Chem. Phys. 97, 8481 (1992). High-order 1 / D perturbation expansions for two-electron atoms.
15. Y. Y. Goldschmidt, Nucl. Phys. B. 393, 507 (1993). Path integral form for large-D limit, N-body problem.
16. A. Gonzalez and D. Leal, J. Phys. B 26, 1253 (1993). First-order 1 / D for binding energies of rare gas clusters.
17. S. Kais and G. Beltrame, J. Phys. Chem. 97, 2453 (1993). D-scaling for Regge trajectories.
18. M. Dunn and D. K. Watson, J. Phys. Chem. 97, 2457 (1993). Wrong parity states of doubly excited two-electron atoms.
19. J. M. Rost, J. Phys. Chem. 97, 2461 (1993). Complex D-scaling.
20. C. A. Traynor and D. Z. Goodson, J. Phys. Chem. 97, 2464 (1993). D-scaling without Born-Oppenheimer approximation.
21. M. López-Cabrera, A. L. Tan, and J. G. Loeser, J. Phys. Chem. 97, 2467 (1993). D-scaling and interpolation.
22. S. M. Sung and J. M. Rost, J. Phys. Chem. 97, 2479 (1993). Chemical binding in large-D limit.
23. S. Kais and D. R. Herschbach, J. Chem. Phys. 98, 3990 (1993). D-scaling for quasi-stationary states.
24. 2.
25. S. Kais, D. R. Herschbach, N. C. Handy, C. W. Murray, and G. J. Laming, J. Chem. Phys. 99, 417 (1993). Density functionals and D-renormalization for exactly solvable Hooke's law atom.
26. D. Z. Goodson and D. K. Watson, Phys. Rev. A 48, 2668 (1993). High-order 1 / D expansions for excited two-electron atoms.
27. S. Kais, S. M. Sung, and D. R. Herschbach, J. Chem. Phys 99, 5194 (1993). D-renormalization for many-electron atoms.
28. T. C. Germann and S. Kais, J. Chem. Phys. 99, 7739 (1993). High-order 1 / D expansions for complex eigenvalues.
29. D. R. Herschbach, Proc. Am. Philos. Soc. 137, 532 (1993). Review including D-interpolation of virial coefficients.
30. S. M. Valone, Int. J. Quantum Chem. 49, 591 (1994). D-scaling for constrained search energy density functionals.
31. S. Kais, S. M. Sung, and D. R. Herschbach, Int. J. Quantum Chem. 49, 657 (1994). D-renormalization for large-Z and large-N atoms.
32. S. Kais and D. R. Herschbach, J. Chem. Phys. 100, 4367 (1994). D-renormalization and 1 / Z expansion for many-electron atoms.
33. J. G. Loeser, J. H. Summerfield, A. L. Tan, and Z. Zheng, J. Chem. Phys. 100, 5036 (1994). Correlated models suggested by large-D limit.
34. A. A. Belov, Y. E. Lozovik, and V. A. Mandelshtam, Sov. Phys. JETP 98, 25 (1990).
35. T. C. Germann, D. R. Herschbach, M. Dunn, and D. K. Watson, Phys. Rev. Lett. 74, 658 (1995). D-scale for H atom in magnetic field.
36. M. Dunn, T. C. Germann, D. Z. Goodson, C. A. Traynor, J. D. Morgan III, D. K. Watson, and D. R. Herschbach, J. Chem. Phys. 101, 5987 (1994). Matrix method for 1 / D perturbation expansions.
37. T. C. Germann, D. R. Herschbach, and B. M. Boghosian, Comput. Phys. 8, 712 (1994). Parallel computation for 1 / D expansions.
38. S. Kais, T. C. Germann, and D. R. Herschbach, J. Phys. Chem. 98, 11015 (1994). Corresponding states for D = 3 and large-D potential curves of two-electron molecules.
39. J. Avery, in Structure and Dynamics of Atoms and Molecules: Conceptual Trends, J. L. Calais and E. S. Kryacho, Eds. (Kluwer, Dordrecht, Netherlands, 1995, p. 133). Review, large-D limit for 3-particle systems.
40. D. D. Frantz and D. R. Herschbach, J. Chem. Phys. 92, 6668 (1990).
41. W. H. Miller, J. Chem. Phys. 58, 1664 (1973).
42. M. P. Strand and W. P. Reinharde, J. Chem: Phys. 70, 3812 (1979).
43. J. Avery, D. Z. Goodson, and D. R. Herschbach, Theor. Chem. Acta 81, 1 (1991).
44. D. J. Doren and D. R. Herschbach, J. Chem. Phys. 87, 433 (1987).
45. J. G. Loeser, J. Chem. Phys. 86, 5635 (1987).
46. M. López-Cabrera, D. Z. Goodson, D. R. Herschbach, and J. D. Morgan III, Phys. Rev. Lett. 68, 1992 (1992).
47. S. J. Chakravorty, S. R. Gwaltney, E. R. Davidson, F. A. Parpia, and C. F. Fischer, Phys. Rev. A 47, 3649 (1993).
48. D. Z. Goodson, J. D. Morgan III, and D. R. Herschbach, Phys. Rev. A 43, 4617 (1991).
49. S. Kais, D. R. Herschbach, and R. D. Levine, J. Chem. Phys. 91, 7791 (1989).
50. M. Levy and J. P. Perdew, Int. J. Quantum Chem. 49, 539 (1994).
51. M. Karplus, J. Phys. Chem. 94, 5435 (1990).