Fast convergence of path integrals for many-body systems

Physics Letters, Section A: General, Atomic and Solid State Physics

Volumn 372, Issue 19, 2008, Pages 3341-3349

  Bogojevic A ^a   Vidanovic I ^a   Balaz A ^a   Belic A ^a  

^a UNIVERSITY OF BELGRADE   (Serbia)

Author keywords

Effective action; Energy estimator; Many body system; Path integral

Indexed keywords

MONTE CARLO METHODS;

EFFECTIVE ACTION; ENERGY ESTIMATOR; EXPECTATION VALUES; EXPLICIT SOLUTIONS; LOW-LYING ENERGY LEVELS; MANY-BODY SYSTEMS; MONTE CARLO CALCULATION; PATH INTEGRAL;

QUANTUM THEORY;

EID: 42049091231     PISSN: 03759601     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.physleta.2008.01.079     Document Type: Article

References (36)

1. Feynman R.P. Rev. Mod. Phys. 20 (1948) 367
2. Feynman R.P., and Hibbs A.R. Quantum Mechanics and Path Integrals (1965), McGraw-Hill, New York
3. Itzykson C., and Zuber J.-B. Quantum Field Theory (1980), McGraw-Hill, New York
4. Coleman S. Aspects of Symmetry (1985), Cambridge Univ. Press
5. Parisi G. Statistical Field Theory (1988), Academic Press
6. Itzykson C., and Drouffe J.-M. Statistical Field Theory (1991), Cambridge Univ. Press
7. Baaquie B. Quantum Finance (2004), Cambridge Univ. Press
8. Kleinert H. Physica A 311 (2002) 536
9. Kleinert H. Physica A 312 (2002) 217
10. Steiner F., and Grosche C. A Table of Feynman Path Integrals (1997), Springer, New York
11. Kleinert H. Path Integrals in Quantum Mechanics, Statistics, Polymer Physics, and Financial Markets. third ed. (2004), World Scientific, Singapore
12. Ceperley D.M. Rev. Mod. Phys. 67 (1995) 279
13. Suzuki M. Phys. Lett. A 146 (1990) 319
14. Bogojević A., Balaž A., and Belić A. Phys. Rev. B 72 (2005) 064302
15. Takahashi M., and Imada M. J. Phys. Soc. Jpn. 53 (1984) 3765
16. Li X.P., and Broughton J.Q. J. Chem. Phys. 86 (1987) 5094
17. De Raedt H., and De Raedt B. Phys. Rev. A 28 (1983) 3575
18. Predescu C. Phys. Rev. E 69 (2004) 056701
19. Predescu C. Phys. Rev. E 71 (2005) 045701
20. Predescu C. J. Phys. Chem. B 110 (2006) 667
21. Yamamoto T.M. J. Chem. Phys. 123 (2005) 104101
22. Paulin S., Alastuey A., and Dauxois T. J. Stat. Phys. 128 (2007) 1391
23. Bogojević A., Balaž A., and Belić A. Phys. Rev. E 72 (2005) 036128
24. Bogojević A., Balaž A., and Belić A. Phys. Lett. A 344 (2005) 84
25. Bogojević A., Balaž A., and Belić A. Phys. Rev. Lett. 94 (2005) 180403
26. http://scl.phy.bg.ac.yu/speedup/
27. Feynman R.P., and Kleinert H. Phys. Rev. A 34 (1986) 5080
28. Kleinert H. Phys. Lett. B 280 (1992) 251
29. Kleinert H. Phys. Lett. A 173 (1993) 332
30. Kleinert H., Kürzinger W., and Pelster A. J. Phys. A 31 (1998) 8307
31. Weissbach F., Pelster A., and Hamprecht B. Phys. Rev. E 66 (2002) 036129
32. Pelster A., Kleinert H., and Schanz M. Phys. Rev. E 67 (2003) 016604
33. Brandt S.F., and Pelster A. J. Math. Phys. 46 (2005) 112105
34. Stojiljković D., Bogojević A., and Balaž A. Phys. Lett. A 360 (2006) 217
35. Janke W., and Sauer T. J. Chem. Phys. 107 (1997) 5821
36. Grujić J., Bogojević A., and Balaž A. Phys. Lett. A 360 (2006) 205