Stochastic, real-space, imaginary-time evaluation of third-order Feynman-Goldstone diagrams

Journal of Chemical Physics

Volumn 140, Issue 2, 2014, Pages

  Willow, Soohaeng Yoo ^a,b   Hirata, So ^a,c  

^a UNIVERSITY OF ILLINOIS AT URBANA CHAMPAIGN   (United States)

^b Pohang University of Science and Technology (POSTECH)   (South Korea)

^c JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRAIC EXPRESSION; COMPUTATIONAL KERNELS; CONVERGENCE ACCELERATION; MANY BODY PERTURBATION THEORY; MANY-BODY PERTURBATION; METROPOLIS ALGORITHMS; MONTE CARLO INTEGRATION; TWO-ELECTRON INTEGRALS;

GOLD; GRAPHIC METHODS;

MONTE CARLO METHODS;

EID: 84892618637     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.4861561     Document Type: Article

References (30)

1. C. Moller and M. S. Plesset, Phys. Rev. 46, 618 (1934). 10.1103/PhysRev.46.618
2. J. Paldus and J. ČíŽek, Adv. Quantum Chem. 9, 105 (1975). 10.1016/S0065-3276(08)60040-4
3. R. J. Bartlett, Annu. Rev. Phys. Chem. 32, 359 (1981). 10.1146/annurev.pc.32.100181.002043
4. A. Szabo and N. S. Ostlund, Modern Quantum Chemistry (Dover, New York, 1996).
5. I. Shavitt and R. J. Bartlett, Many-Body Methods in Chemistry and Physics (Cambridge University Press, Cambridge, 2009).
6. J. Almlöf, Chem. Phys. Lett. 181, 319 (1991). 10.1016/0009-2614(91) 80078-C
7. S. Y. Willow, K. S. Kim, and S. Hirata, J. Chem. Phys. 137, 204122 (2012). 10.1063/1.4768697
8. M. H. Kalos and P. A. Whitlock, Monte Carlo Methods (Wiley-VCH, Weinheim, 2008).
9. S. Y. Willow, K. S. Kim, and S. Hirata, J. Chem. Phys. 138, 164111 (2013). 10.1063/1.4801862
10. S. Y. Willow, M. R. Hermes, K. S. Kim, and S. Hirata, J. Chem. Theory Comput. 9, 4396 (2013). 10.1021/ct400557z
11. D. M. Ceperley and B. J. Alder, Phys. Rev. Lett. 45, 566 (1980). 10.1103/PhysRevLett.45.566
12. B. L. Hammond, W. A. Lester Jr., and P. J. Reynolds, Monte Carlo Methods in Ab Initio Quantum Chemistry (World Scientific, Singapore, 1994).
13. A. Luchow and J. B. Anderson, Annu. Rev. Phys. Chem. 51, 501 (2000). 10.1146/annurev.physchem.51.1.501
14. J. Kolorenč and L. Mitas, Rep. Prog. Phys. 74, 026502 (2011). 10.1088/0034-4885/74/2/026502
15. S. Zhang and H. Krakauer, Phys. Rev. Lett. 90, 136401 (2003). 10.1103/PhysRevLett.90.136401
16. A. Thom and A. Alavi, Phys. Rev. Lett. 99, 143001 (2007). 10.1103/PhysRevLett.99.143001
17. Y. Ohtsuka and S. Nagase, Chem. Phys. Lett. 463, 431 (2008). 10.1016/j.cplett.2008.08.090
18. G. H. Booth, A. J. W. Thom, and A. Alavi, J. Chem. Phys. 131, 054106 (2009). 10.1063/1.3193710
19. D. Cleland, G. H. Booth, and A. Alavi, J. Chem. Phys. 132, 041103 (2010). 10.1063/1.3302277
20. F. R. Petruzielo, A. A. Holmes, H. J. Changlani, M. P. Nightingale, and C. J. Umrigar, Phys. Rev. Lett. 109, 230201 (2012). 10.1103/PhysRevLett.109. 230201
21. J. J. Shepherd, G. H. Booth, and A. Alavi, J. Chem. Phys. 136, 244101 (2012). 10.1063/1.4720076
22. G. H. Booth and G. K. L. Chan, J. Chem. Phys. 137, 191102 (2012). 10.1063/1.4766327
23. D. Neuhauser, E. Rabani, and R. Baer, J. Chem. Theory Comput. 9, 24 (2013). 10.1021/ct300946j
24. S. Ten-no, J. Chem. Phys. 138, 164126 (2013). 10.1063/1.4802766
25. N. H. March, W. H. Young, and S. Sampanthar, The Many-Body Problem in Quantum Mechanics (Cambridge University Press, London, 1967).
26. R. D. Mattuck, A Guide to Feynman Diagrams in the Many-Body Problem (Dover, New York, 1992).
27. A. S. Kronrod, Nodes and Weights of Quadrature Formulas. Sixteen-place Tables (Consultants Bureau, New York, 1965).
28. S. Obara and A. Saika, J. Chem. Phys. 84, 3963 (1986). 10.1063/1.450106
29. N. Metropolis, A. W. Rosenbluth, M. N. Rosenbluth, A. N. Teller, and E. Teller, J. Chem. Phys. 21, 1087 (1953). 10.1063/1.1699114
30. H. Flyvbjerg and H. G. Petersen, J. Chem. Phys. 91, 461 (1989). 10.1063/1.457480