Bound States in Coulomb Systems - Old Problems and New Solutions

Contributions to Plasma Physics

Volumn 52, Issue 1, 2012, Pages 7-16

  Ebeling, W ^a   Kraeft, W D ^b,c   Ropke G ^c  

^a HUMBOLDT UNIVERSITY   (Germany)

^b UNIVERSITY OF GREIFSWALD   (Germany)

^c UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

Bound states; Dense plasmas; Partition function

Indexed keywords

EQUATIONS OF STATE; HARTREE APPROXIMATION; HYDROGEN; MOLECULAR PHYSICS; QUANTUM THEORY;

BOUND-STATES; CHEMICAL PICTURE; COULOMB SYSTEMS; DENSE PLASMA; DENSITY REGIONS; NEW SOLUTIONS; PARTITION FUNCTIONS; PHYSICAL PICTURES; PROBLEM SOLUTIONS; STATISTICAL TREATMENT;

ISOTHERMS;

EID: 84855988771     PISSN: 08631042     EISSN: 15213986     Source Type: Journal    
DOI: 10.1002/ctpp.201100056     Document Type: Article

References (47)

1. E. Rutherford "The Scattering of α and β Particles by Matter and the Structure of the Atom";, Philos. Mag. 21, 669 (1911).
2. M. Planck, Ann. Physik 75, 673 (1924).
3. L. Brillouin, "Les statistiques quantiques et leurs applications", Presse Universitaires de France, Paris 1930.
4. A. A. Vedenov, A. I. Larkin, Zh. eksp. teor. Fiz. 36, 1133 (1959).
5. A. I. Larkin, Zh. eksp. teor. Fiz. 38, 1896 (1960).
6. W. Ebeling, Ann. Physik 19, 104 (1967); Physica 38, 378 (1968); 40, 290 (1968); 43, 293 (1969).
7. D. Kremp, W. D. Kraeft, Ann. Physik 20, 340 (1968).
8. W. D. Kraeft, W. Ebeling, D. Kremp, Phys. Letters A 29, 466 (1969).
9. W. Ebeling, W. D. Kraeft, D. Kremp, Contr. Plasma Phys. (Beitr. Plasma Phys.) 10, 237 (1970).
10. D. Kremp, W. D. Kraeft, W. Ebeling, Physica 51, 146 (1971).
11. W. Ebeling, W. D. Kraeft, D. Kremp, "Theory of Bound States and Ionization Equilibrium", Akademie-Verlag Berlin 1976.
12. W. Ebeling, W. D. Kraeft, D. Kremp, K. Kilimann, phys. stat sol. (b) 78, 241 (1976).
13. W. D. Kraeft, D. Kremp, W. Ebeling, G. Röpke, "Quantum Statistics of Charged Particle Systems", Akademie-Verlag Berlin and Plenum London/New York 1986.
14. W. Ebeling, W. D. Kraeft, D. Kremp, G. Röpke, Physica A 140, 160-168 (1986).
15. D. Kremp, M. Schlanges, W. D. Kraeft, "Quantum statistics of nonideal plasmas", Springer Berlin, Heidelberg 2005.
16. W. Ebeling, H. Hache, M. Spahn, Eur. Phys. J. D 20, 93 (2002).
17. W. Ebeling et al., in R. Redmer, B. Holst, F. Hensel (eds.), "Metal-to-Nonmetal Transitions", Springer Berlin 2009.
18. W. Ebeling, Physica 73, 573 (1974).
19. W. Ebeling and W. Richert, Phys. Stat. Sol. B 128, 467 (1985); Phys. Lett. A 108, 80 (1985).
20. W. Ebeling, Contr. Plasma Phys. 29, 165 (1989), 30, 553 (1990).
21. D. Saumon, G. Chabrier, Phys. Rev. Lett. 62, 2397 (1989); Phys. Rev A 46, 254 (1992).
22. D. Beule et al., Phys. Rev. B 59, 14 177 (1999); Contr. Plasma Phys. 39, 21 (1999); Phys. Rev. B 63, 06202R (2001).
23. W. Ebeling, H. Hache, H. Juranek, R. Redmer, G. Röpke, Contr. Plasma Phys. 45, 160 (2005).
24. W. Ebeling, S. Hilbert H. Krienke, J. Mol. Liquids 96-97, 409 (2002); Eur. Phys. J. D 20, 93 (2002).
25. W. Ebeling, H. Hache, M. Spahn, Eur. J. Phys. D 23, 265 (2003).
26. A. Alastuey, A. Perez . Europhys. Lett. 20, 19 (1992)
27. A. Alastuey, V. Ballenegger, F. Cornu, and Ph. A. Martin, J. Stat. Phys. 130, 1119-1176 (2008).
28. A. Alastuey, V. Ballenegger, Contr. Plasma Physics 50, 46-53 (2010); "Hydrogen at low densities: atomic ionization and molecular dissociation within the physical picture", Poster contribution to SCCS2011.
29. V. B. Bobrov, S. A. Trigger, W. Ebeling, Euro. Phys. Lett A 95, 25001 (2011).
30. W. Ebeling, Physics of Elementary Particles and Nuclei (Dubna) 39, 33-41 (2008).
31. G. P. Bartsch, W. Ebeling, Contr. Plasma Physics 11, 393 (1971).
32. F. J. Rogers, Phys. Rev. A 19, 375 (1979); F. J. Rogers, A. Nayfonov, Astrophys. J. 576, 164 (2002).
33. W. Däppen, A. Nayfonov, Astrophys. J. Suppl. 135, 44 (2000).
34. H. E. DeWitt, J. Nucl. Energy C 2, 27 (1961); J. Math. Phys. 7, 6116 (1962).
35. H. E. DeWitt, M. Schlanges, A. Y. Sakakura, and W. D. Kraeft, Phys. Letters, A 197, 326 (1995).
36. T. Kahlbaum, J. Phys. IV 10 (P5), 455 (2000)
37. G. Röpke, K. Kilimann, D. Kremp, W. D. Kraeft, Physics Letters A 68, 329 (1978).
38. W. D. Kraeft, W. Stolzmann, Ann. Physik 36, 388 (1979).
39. R. Zimmermann, K. Kilimann, W. D. Kraeft, D. Kremp, and G. Röpke, phys. stat. sol. (b) 88, K59 (1978); 90, 175 (1978).
40. S. Arndt, W. D. Kraeft, J. Seidel, phys. stat. sol. b 194, 61 (1996).
41. W. D. Kraeft, D. Kremp, K. Kilimann, and H. E. DeWitt, Phys. Rev. A 42, 2340 (1990).
42. R. Fehr, and W. D. Kraeft, Phys. Rev. E 40, 463 (1994).
43. J. Seidel, S. Arndt, and W. D. Kraeft, Phys. Rev. E 52, 5387 (1995).
44. T. Bornath, D. Kremp, and M. Schlanges, Phys. Rev. E60, 6382 (1999).
45. W. Ebeling, D. Blaschke R. Redmer, H. Reinholz, and G. Röpke, J. Phys. A, Math. Theor. 42, 214033 (2009).
46. J. Vorberger, D. O. Gericke, W. D. Kraeft, "Equation of state for high density hydrogen"; http://arxiv.org/abs/1108.4826.
47. B. Militzer, D. M. Ceperley, Phys. Rev. E 63, 066404 (2001).