Approximate and exact nodes of fermionic wavefunctions: Coordinate transformations and topologies

Physical Review B - Condensed Matter and Materials Physics

Volumn 72, Issue 7, 2005, Pages

  Bajdich, Michal ^a   Mitas, Lubos ^a   Drobný, Gabriel ^a   Wagner, Lucas K ^a  

^a NORTH CAROLINA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644966352     PISSN: 10980121     EISSN: 1550235X     Source Type: Journal    
DOI: 10.1103/PhysRevB.72.075131     Document Type: Article

References (33)

1. D. M. Ceperley and M. H. Kalos, in Monte Carlo Methods in Statistical Physics, edited by, K. Binder, (Springer, Berlin, 1979) pp. 145-194
2. K. E. Schmidt and D. M. Ceperley, in Monte Carlo Methods in Statistical Physics II, edited by, K. Binder, (Springer, Berlin, 1984), pp. 279-355.
3. B. L. Hammond, W. A. Lester, Jr., and P. J. Reynolds, Monte Carlo Methods in ab initio Quantum Chemistry (World Scientific, Singapore, 1994).
4. M. W. C. Foulkes, L. Mitas, R. J. Needs, and G. Rajagopal, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.73.33 73, 33-83 (2001).
5. E. A. Hylleraas, Z. Phys. ZEPYAA 0044-3328 54, 347 (1929)
6. E. A. Hylleraas, Z. Phys. ZEPYAA 0044-3328 48, 469 (1928).
7. G. Breit, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.35.569 35, 569 (1930)
8. D. Bressanini (private communication).
9. J. B. Anderson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.431514 63, 1499 (1975)
10. J. B. Anderson, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.432868 65, 4121 (1976).
11. J. B. Anderson, Phys. Rev. A PLRAAN 1050-2947 10.1103/PhysRevA.35.3550 35, 3550 (1987).
12. C. Schwartz, Phys. Rev. PRVAAH 0096-8250 10.1103/PhysRev.134.A1181 134, A1181 (1964).
13. W. A. Glauser, W. R. Brown, W. A. Lester, D. Bressanini, B. L. Hammond, and M. L. Koszykowski, J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.463296 97, 9200 (1992).
14. D. M. Ceperley, J. Stat. Phys. JSTPBS 0022-4715 10.1007/BF01030009 63, 1237 (1991).
15. W. M. C. Foulkes, R. Q. Hood, and R. J. Needs, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.60.4558 60, 4558 (1999).
16. D. Bressanini, D. M. Ceperley, and P. Reynolds, in Recent Advances in Quantum Monte Carlo Methods II, edited by, W. A. Lester,,, S. M. Rothstein,, and, S. Tanaka, (World Scientific, Singapore, 2002).
17. L. Mitas, G. Drobny, M. Bajdich, L. K. Wagner, in Condensed Matter Theories, edited by, J. W. Clark, and, R. Panoff, (Nova Science Publishers, Hauppauge, NY, in press to appear), Vol. 20.
18. D. Bressanini and P. J. Reynolds, Phys. Rev. Lett. PRLTAO 0031-9007 (to be published).
19. Another system with such symmetries is the H2 Σu+ 3 (1sσ2pσ) state, first analyzed by H. M. James, A. S. Coolidge, and R D. Present, J. Chem. Phys. JCPSA6 0021-9606 4, 184 (1936).
20. K. Rektorys, Survey of Applicable Mathematics (Kluwer, Dordrecht, 1994).
21. D. Pedoe, Geometry Comprehensive Course (Dover, New York, 1988).
22. J. G. Semple, G. T. Kneebone, Algebraic Projective Geometry (Oxford University Press, Oxford, UK, 1979).
23. P. Griffiths and J. Harris, Principles of Algebraic Geometry (Wiley, New York, 1978).
24. W. Kutzelnigg, in Explicitly Correlated Wave Functions in Chemistry and Physics, edited by, J. Rychlewski,, (Kluwer, Dordrecht, 2003), pp. 4-82, and references therein.
25. I. Ovcharenko, A. Aspuru-Guzik, W. A. Lester, Jr., J. Chem. Phys. JCPSA6 0021-9606 10.1063/1.1364680 114, 7790 (2001).
26. A. K. Wilson, T. v. Mourik and T. H. Dunning, Jr., J. Mol. Struct.: THEOCHEM THEODJ 0166-1280 10.1016/S0166-1280(96)04689-1 388, 339 (1997).
27. R. P. Feynman and M. Cohen, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.102.1189 102, 1189 (1956).
28. Y. Kwon, D. M. Ceperley and R. M. Martin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.12037 48, 12037 (1993)
29. Y. Kwon, D. M. Ceperley and R. M. Martin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.50.1684 50, 1684 (1994)
30. Y. Kwon, D. M. Ceperley and R. M. Martin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.53.7376 53, 7376 (1996)
31. Y. Kwon, D. M. Ceperley and R. M. Martin, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.58.6800 58, 6800 (1998).
32. M. Holzmann, D. M. Ceperley, C. Pierleoni, and K. Esler, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.046707 68, 046707 (2003).
33. R. M. Panoff and J. Carlson, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.62.1130 62, 1130 (1989).