Effect of configuration interaction on shift widths and intensity redistribution of transition arrays

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 59, Issue 3, 1999, Pages 3512-3525

  Bar Shalom, A ^a   Oreg, J ^a   Klapisch, M ^a   Lehecka, T ^b  

^a ARTEP INC   (United States)

^b NAVAL RESEARCH LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001623753     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.59.3512     Document Type: Article

References (32)

1. M. Aizenman and E. H. Lieb, J. Stat. Phys. 24, 279 (1981)
2. Y. Chow and F. Y. Wu, Phys. Rev. B 36, 285 (1987).
3. R. B. Potts, Proc. Cambridge Philos. Soc. 48, 106 (1952).
4. F. Y. Wu, Rev. Mod. Phys. 54, 235 (1982)
5. Rev. Mod. Phys.F. Y. Wu55, 315(E) (1983).
6. R. C. Read, J. Comb. Theory, Ser. A 4, 52 (1968)
7. R. C. Read and W. T. Tutte, in Selected Topics in Graph Theory, 3, edited by L. W. Beineke and R. J. Wilson (Academic Press, New York, 1988).
8. The minimum number of colors needed for this coloring of G is called its chromatic number, (Formula presented).
9. At certain special points (Formula presented) [typically (Formula presented)], one has the noncommutativity of limits (Formula presented) and hence it is necessary to specify the order of the limits in the definition of (Formula presented) 7. As in Ref. 7, we shall use the first order of limits here; this has the advantage of removing certain isolated discontinuities in W.
10. R. Shrock and S.-H. Tsai, Phys. Rev. E 55, 5165 (1997).
11. R. J. Baxter, J. Phys. A 20, 5241 (1987).
12. R. Shrock and S.-H. Tsai, Phys. Rev. E 56, 1342 (1997).
13. M. Roček, R. Shrock, and S.-H. Tsai, Physica A 252, 505 (1998)
14. Physica AM. RočekR. ShrockS.-H. Tsai259, 367 (1998).
15. R. Shrock and S.-H. Tsai, Phys. Rev. E 56, 3935 (1997)
16. Phys. Rev. ER. ShrockS.-H. Tsai56, 4111 (1997).
17. R. Shrock and S.-H. Tsai, J. Phys. A 31, 9641 (1998).
18. R. Shrock and S.-H. Tsai, Physica A 259, 315 (1998).
19. R. Shrock and S.-H. Tsai, Phys. Rev. E 58, 4332 (1998)
20. R. ShrockS.-H. Tsaie-print cond-mat/9808057.In the absence of exact solutions, these values of (Formula presented) are determined by Monte Carlo measurements and large-(Formula presented) series.
21. R. Shrock and S.-H. Tsai, Physica A 265, 186 (1999)
22. R. ShrockS.-H. TsaiJ. Phys. A 32, L195 (1999).
23. E. H. Lieb, Phys. Rev. 162, 162 (1967).
24. R. J. Baxter, J. Math. Phys. 11, 784 (1970).
25. R. Shrock and S.-H. Tsai, J. Phys. A 30, 495 (1997).
26. N. L. Biggs, R. M. Damerell, and D. A. Sands, J. Comb. Theory, Ser. B 12, 123 (1972)
27. J. Comb. Theory, Ser. BN. L. Biggs and G. H. Meredith, 20, 5 (1976).
28. S. Beraha, J. Kahane, and N. Weiss, J. Comb. Theory, Ser. B 28, 52 (1980).
29. R. C. Read and G. F. Royle, in Graph Theory, Combinatorics, and Applications (Wiley, New York, 1991), Vol. 2, p. 1009.
30. Some families of graphs that do not have regular lattice directions have noncompact loci (Formula presented) that separate the q plane into different regions 111215.
31. The complete graph on p vertices, denoted (Formula presented) is the graph in which every vertex is adjacent to every other vertex. The “join” of graphs (Formula presented) and (Formula presented), denoted (Formula presented), is defined by adding bonds linking each vertex of (Formula presented) to each vertex in (Formula presented). Graph families with (Formula presented) not including (Formula presented) are given in 9111215.
32. For real (Formula presented), as well as other regions of the q plane that cannot be reached by analytic continuation from the real interval (Formula presented), one can only determine the magnitude (Formula presented) unambiguously 7.