Generalized Slater-Jastrow trial function: Application to the electron gas at high density

Physical Review B - Condensed Matter and Materials Physics

Volumn 80, Issue 20, 2009, Pages

  Porter, James C ^a  

^a EASTERN MICHIGAN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 77954700053     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.80.205102     Document Type: Article

References (31)

1. T. Gaskell, Proc. Phys. Soc. Lond. 77, 1182 (1961). 10.1088/0370-1328/77/ 6/312
2. M. S. Becker, A. A. Broyles, and T. Dunn, Phys. Rev. 175, 224 (1968). 10.1103/PhysRev.175.224
3. D. K. Lee and F. H. Ree, Phys. Rev. A 6, 1218 (1972). 10.1103/PhysRevA.6.1218
4. M. A. Pokrant and F. A. Stevens, Jr., Phys. Rev. A 7, 1630 (1973). 10.1103/PhysRevA.7.1630
5. F. A. Stevens, Jr. and M. A. Pokrant, Phys. Rev. A 8, 990 (1973). 10.1103/PhysRevA.8.990
6. J. D. Talman, Phys. Rev. A 10, 1333 (1974). 10.1103/PhysRevA.10.1333
7. D. Ceperley, Phys. Rev. B 18, 3126 (1978). 10.1103/PhysRevB.18.3126
8. Y. Kwon, D. M. Ceperley, and R. M. Martin, Phys. Rev. B 58, 6800 (1998). 10.1103/PhysRevB.58.6800
9. Talman's result reads ε T = 0.0570 log r s - 0.1324 Ry + ε e x c h where the exchange contribution is estimated by Talman to be 0.040 Ry at densities of physical interest (r s ≈ 5). Here we have used ε e x c h = 0.0484 Ry, the second-order exchange energy from Rayleigh-Schroedinger perturbation theory since this value is known to be accurate for small r s.
10. M. Gell-Mann and K. A. Brueckner, Phys. Rev. 106, 364 (1957). 10.1103/PhysRev.106.364
11. A. L. Fetter and J. D. Walecka, Quantum Theory of Many-Particle Systems (McGraw-Hill, New York, 1971), pp. 21-22 and 94-95.
12. J. C. Slater, Quantum Theory of Atomic Structure, Vol. 2 (McGraw-Hill, New York, 1960), p. 1-30 and Appendix 22.
13. D. F. DuBois, Ann. Phys. (N.Y.) 7, 174 (1959), Appendix C. 10.1016/0003-4916(59)90016-8
14. W. J. Carr, Jr. and A. A. Maradudin, Phys. Rev. 133, A371 (1964). 10.1103/PhysRev.133.A371
15. N. Umezawa and S. Tsuneyuki, J. Chem. Phys. 119, 10015 (2003). 10.1063/1.1617274
16. Naoto Umezawa and Shinji Tsuneyuki, Phys. Rev. B 69, 165102 (2004). 10.1103/PhysRevB.69.165102
17. The slope was obtained by fitting a quadratic to TC data points at r s = 1, 2, and 3.
18. O. Sinanoglu, J. Chem. Phys. 36, 706 (1962). 10.1063/1.1732596
19. G. A. Korn and K. T. M. Korn, Handbook for Scientists and Engineers, 2nd ed. (Courier Dover, Mineola, NY, 2000).
20. J. C. Porter, Phys. Rev. 140, A732 (1965). 10.1103/PhysRev.140.A732
21. J. E. Mayer and M. G. Mayer, Statistical Mechanics of Fluids (Wiley and Sons, New York, 1940).
22. L. Szasz, Phys. Rev. 126, 169 (1962). 10.1103/PhysRev.126.169
23. L. Szasz, Phys. Rev. 132, 936 (1963), see Eq.(3.4). 10.1103/PhysRev.132. 936
24. J. C. Porter, Ph.D. thesis, Purdue University (1965), eqs.5.21 and C.13.
25. G. D. Mahan, Many-Particle Physics, 2nd ed. (Plenum, New York, 1990), pp. 399-384.
26. L. Onsager, L. Mittag, and M. J. Stephen, Ann. Phys. 473, 71 (1966). 10.1002/andp.19664730108
27. K. Sawada, Phys. Rev. 106, 372 (1957). 10.1103/PhysRev.106.372
28. K. Sawada, K. A. Brueckner, N. Fukuda, and R. Brout, Phys. Rev. 108, 507 (1957). 10.1103/PhysRev.108.507
29. P. N. Argyres, Phys. Rev. 154, 410 (1967). 10.1103/PhysRev.154.410
30. W. H. Press, B. P. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes (University of Cambridge, Melbourne, Australia, 1986), pp. 80-94.
31. MATHCAD14, Mathsoft Engineering Inc., 101 Main St., Cambridge, MA, 02142-1521 (2008).