Numerical implementation of some reweighted path integral methods

Journal of Chemical Physics

Volumn 119, Issue 9, 2003, Pages 4641-4654

  Predescu, Cristian ^a   Sabo, Dubravko ^a   Doll, J D ^a  

^a BROWN UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; CONVERGENCE OF NUMERICAL METHODS; INTEGRAL EQUATIONS; PROBABILITY DENSITY FUNCTION;

ASYMPTOTIC CONVERGENCE; QUANTUM DENSITY MATRIX; REWEIGHTED RANDOM SERIES TECHNIQUES;

QUANTUM THEORY;

EID: 0141788036     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1595640     Document Type: Article

References (19)

1. C. Predescu and J. D. Doll, J. Chem. Phys. 117, 7448 (2002).
2. R. P. Feynmann and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw Hill, New York, 1965).
3. B. Simon, Functional Integration and Quantum Physics (Academic, London, 1979).
4. D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995).
5. H. Trotter, Proc. Am. Math. Soc. 10, 545 (1959).
6. H. De Raedt and B. De Raedt, Phys. Rev. A 28, 3575 (1983).
7. M. Suzuki, J. Math. Phys. 32, 400 (1991).
8. M. Suzuki, J. Math. Phys. 26, 601 (1985)
9. M. Suzuki, J. Stat. Phys. 43, 883 (1986).
10. n.
11. C. Predescu and J. D. Doll, Phys. Rev. E 67, 026124 (2003).
12. C. Predescu, Reweighted Methods: Definition and Asymptotic Convergence, e-print http://arXiv.org/abs/cond-mat/0302171.
13. C. Predescu, J. D. Doll, and D. L. Freeman, Asymptotic Convergence of the Partial Averaging Technique, e-print http://arXiav.org/abs/cond-mat/0301525.
14. A. D. Klemm and R. G. Storer, Aust. J. Phys. 26, 43 (1973).
15. D. Thirumalai, E. J. Bruskin, and B. J. Berne, J. Chem. Phys. 79, 5063 (1983).
16. W. H. Press, S. A. Teukolsky, W. T. Vetterling, and B. P. Flannery, Numerical Recipes (Cambridge University Press, Cambridge, 1992), Chap. 4.5.
17. Mathcad User's Guide: Mathcad 8 Professional (MathSoft Inc., Cambridge, MA, 1998).
18. D. L. Freeman, R. D. Coalson, and J. D. Doll, J. Stat. Phys. 43, 931 (1986).
19. C. Predescu, J. Math. Phys. 44, 1226 (2003).