메뉴 건너뛰기




Volumn 108, Issue 7, 1998, Pages 2847-2866

Contracted distributed approximating functions: Derivation of non-oscillatory free particle and harmonic propagators for Feynman path integration in real time

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0042885793     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.475694     Document Type: Article
Times cited : (3)

References (63)
  • 1
    • 34547361024 scopus 로고
    • R. P. Feynman, Rev. Mod. Phys. 20, 367 (1948); R. P. Feynman and A. R. Hibbs, Quantum Mechanics and Path Integrals (McGraw-Hill, New York, 1965).
    • (1948) Rev. Mod. Phys. , vol.20 , pp. 367
    • Feynman, R.P.1
  • 3
    • 0003575440 scopus 로고
    • Benjamin, Reading, Massachusetts
    • (a) R. P. Feynmamn, Statistical Mechanics (Benjamin, Reading, Massachusetts, 1972); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); G. Roepstorff, Path Integral Approach to Quantum Physics (Springer-Verlag, Berlin, 1994); R. D. Coalson, J. Chem. Phys. 83, 688 (1985); R. D. Coalson, D. L. Freeman, and J. D. Doll, ibid. 85, 4567 (1986); H. DeRaedt and B. DeRaedt, Phys. Rev. A 28, 3575 (1983); D. Thirumalai and B. Berne, J. Chem. Phys. 79, 5029 (1983); K. S. Schweizer, R. M. Stratt, D. Chandler, and P. G. Wolynes, ibid. 75, 1347 (1981).
    • (1972) Statistical Mechanics
    • Feynmamn, R.P.1
  • 4
    • 0003644102 scopus 로고
    • Wiley, New York
    • (a) R. P. Feynmamn, Statistical Mechanics (Benjamin, Reading, Massachusetts, 1972); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); G. Roepstorff, Path Integral Approach to Quantum Physics (Springer-Verlag, Berlin, 1994); R. D. Coalson, J. Chem. Phys. 83, 688 (1985); R. D. Coalson, D. L. Freeman, and J. D. Doll, ibid. 85, 4567 (1986); H. DeRaedt and B. DeRaedt, Phys. Rev. A 28, 3575 (1983); D. Thirumalai and B. Berne, J. Chem. Phys. 79, 5029 (1983); K. S. Schweizer, R. M. Stratt, D. Chandler, and P. G. Wolynes, ibid. 75, 1347 (1981).
    • (1981) Techniques and Applications of Path Integration
    • Schulman, L.S.1
  • 5
    • 0004048496 scopus 로고
    • Springer-Verlag, Berlin
    • (a) R. P. Feynmamn, Statistical Mechanics (Benjamin, Reading, Massachusetts, 1972); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); G. Roepstorff, Path Integral Approach to Quantum Physics (Springer-Verlag, Berlin, 1994); R. D. Coalson, J. Chem. Phys. 83, 688 (1985); R. D. Coalson, D. L. Freeman, and J. D. Doll, ibid. 85, 4567 (1986); H. DeRaedt and B. DeRaedt, Phys. Rev. A 28, 3575 (1983); D. Thirumalai and B. Berne, J. Chem. Phys. 79, 5029 (1983); K. S. Schweizer, R. M. Stratt, D. Chandler, and P. G. Wolynes, ibid. 75, 1347 (1981).
    • (1994) Path Integral Approach to Quantum Physics
    • Roepstorff, G.1
  • 6
    • 0038961356 scopus 로고
    • (a) R. P. Feynmamn, Statistical Mechanics (Benjamin, Reading, Massachusetts, 1972); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); G. Roepstorff, Path Integral Approach to Quantum Physics (Springer-Verlag, Berlin, 1994); R. D. Coalson, J. Chem. Phys. 83, 688 (1985); R. D. Coalson, D. L. Freeman, and J. D. Doll, ibid. 85, 4567 (1986); H. DeRaedt and B. DeRaedt, Phys. Rev. A 28, 3575 (1983); D. Thirumalai and B. Berne, J. Chem. Phys. 79, 5029 (1983); K. S. Schweizer, R. M. Stratt, D. Chandler, and P. G. Wolynes, ibid. 75, 1347 (1981).
    • (1985) J. Chem. Phys. , vol.83 , pp. 688
    • Coalson, R.D.1
  • 7
    • 36549092967 scopus 로고
    • (a) R. P. Feynmamn, Statistical Mechanics (Benjamin, Reading, Massachusetts, 1972); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); G. Roepstorff, Path Integral Approach to Quantum Physics (Springer-Verlag, Berlin, 1994); R. D. Coalson, J. Chem. Phys. 83, 688 (1985); R. D. Coalson, D. L. Freeman, and J. D. Doll, ibid. 85, 4567 (1986); H. DeRaedt and B. DeRaedt, Phys. Rev. A 28, 3575 (1983); D. Thirumalai and B. Berne, J. Chem. Phys. 79, 5029 (1983); K. S. Schweizer, R. M. Stratt, D. Chandler, and P. G. Wolynes, ibid. 75, 1347 (1981).
    • (1986) J. Chem. Phys. , vol.85 , pp. 4567
    • Coalson, R.D.1    Freeman, D.L.2    Doll, J.D.3
  • 8
    • 0000661110 scopus 로고
    • (a) R. P. Feynmamn, Statistical Mechanics (Benjamin, Reading, Massachusetts, 1972); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); G. Roepstorff, Path Integral Approach to Quantum Physics (Springer-Verlag, Berlin, 1994); R. D. Coalson, J. Chem. Phys. 83, 688 (1985); R. D. Coalson, D. L. Freeman, and J. D. Doll, ibid. 85, 4567 (1986); H. DeRaedt and B. DeRaedt, Phys. Rev. A 28, 3575 (1983); D. Thirumalai and B. Berne, J. Chem. Phys. 79, 5029 (1983); K. S. Schweizer, R. M. Stratt, D. Chandler, and P. G. Wolynes, ibid. 75, 1347 (1981).
    • (1983) Phys. Rev. A , vol.28 , pp. 3575
    • DeRaedt, H.1    DeRaedt, B.2
  • 9
    • 36749115777 scopus 로고
    • (a) R. P. Feynmamn, Statistical Mechanics (Benjamin, Reading, Massachusetts, 1972); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); G. Roepstorff, Path Integral Approach to Quantum Physics (Springer-Verlag, Berlin, 1994); R. D. Coalson, J. Chem. Phys. 83, 688 (1985); R. D. Coalson, D. L. Freeman, and J. D. Doll, ibid. 85, 4567 (1986); H. DeRaedt and B. DeRaedt, Phys. Rev. A 28, 3575 (1983); D. Thirumalai and B. Berne, J. Chem. Phys. 79, 5029 (1983); K. S. Schweizer, R. M. Stratt, D. Chandler, and P. G. Wolynes, ibid. 75, 1347 (1981).
    • (1983) J. Chem. Phys. , vol.79 , pp. 5029
    • Thirumalai, D.1    Berne, B.2
  • 10
    • 0001414035 scopus 로고
    • (a) R. P. Feynmamn, Statistical Mechanics (Benjamin, Reading, Massachusetts, 1972); L. S. Schulman, Techniques and Applications of Path Integration (Wiley, New York, 1981); G. Roepstorff, Path Integral Approach to Quantum Physics (Springer-Verlag, Berlin, 1994); R. D. Coalson, J. Chem. Phys. 83, 688 (1985); R. D. Coalson, D. L. Freeman, and J. D. Doll, ibid. 85, 4567 (1986); H. DeRaedt and B. DeRaedt, Phys. Rev. A 28, 3575 (1983); D. Thirumalai and B. Berne, J. Chem. Phys. 79, 5029 (1983); K. S. Schweizer, R. M. Stratt, D. Chandler, and P. G. Wolynes, ibid. 75, 1347 (1981).
    • (1981) J. Chem. Phys. , vol.75 , pp. 1347
    • Schweizer, K.S.1    Stratt, R.M.2    Chandler, D.3    Wolynes, P.G.4
  • 11
    • 36749104477 scopus 로고
    • M. D. Feit and J. A. Fleck, J. Chem. Phys. 78, 301 (1982); 79, 301 (1983); 80, 2578 (1984); M. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959); E. J. Nelson, J. Math. Phys. 5, 332 (1964).
    • (1982) J. Chem. Phys. , vol.78 , pp. 301
    • Feit, M.D.1    Fleck, J.A.2
  • 12
    • 36749104477 scopus 로고
    • M. D. Feit and J. A. Fleck, J. Chem. Phys. 78, 301 (1982); 79, 301 (1983); 80, 2578 (1984); M. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959); E. J. Nelson, J. Math. Phys. 5, 332 (1964).
    • (1983) J. Chem. Phys. , vol.79 , pp. 301
  • 13
    • 36549090927 scopus 로고
    • M. D. Feit and J. A. Fleck, J. Chem. Phys. 78, 301 (1982); 79, 301 (1983); 80, 2578 (1984); M. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959); E. J. Nelson, J. Math. Phys. 5, 332 (1964).
    • (1984) J. Chem. Phys. , vol.80 , pp. 2578
  • 14
    • 84968520470 scopus 로고
    • M. D. Feit and J. A. Fleck, J. Chem. Phys. 78, 301 (1982); 79, 301 (1983); 80, 2578 (1984); M. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959); E. J. Nelson, J. Math. Phys. 5, 332 (1964).
    • (1959) Proc. Am. Math. Soc. , vol.10 , pp. 545
    • Trotter, M.F.1
  • 15
    • 0000431067 scopus 로고
    • M. D. Feit and J. A. Fleck, J. Chem. Phys. 78, 301 (1982); 79, 301 (1983); 80, 2578 (1984); M. F. Trotter, Proc. Am. Math. Soc. 10, 545 (1959); E. J. Nelson, J. Math. Phys. 5, 332 (1964).
    • (1964) J. Math. Phys. , vol.5 , pp. 332
    • Nelson, E.J.1
  • 21
    • 0346606524 scopus 로고
    • J. D. Doll and D. L. Freeman, Adv. Chem. Phys. 73, 120 (1988); J. D. Doll, D. L. Freeman, and M. J. Gillan, Chem. Phys. Lett. 143, 277 (1988); J. D. Doll, T. L. Beck, and D. L. Freeman, J. Chem. Phys. 89, 5753 (1988); J. D. Doll, R. D. Coalson, and R. L. Freeman ibid. 87, 1641 (1987); J. D. Doll and D. L. Freeman, Science 234, 1356 (1986).
    • (1988) Adv. Chem. Phys. , vol.73 , pp. 120
    • Doll, J.D.1    Freeman, D.L.2
  • 22
    • 0001525980 scopus 로고
    • J. D. Doll and D. L. Freeman, Adv. Chem. Phys. 73, 120 (1988); J. D. Doll, D. L. Freeman, and M. J. Gillan, Chem. Phys. Lett. 143, 277 (1988); J. D. Doll, T. L. Beck, and D. L. Freeman, J. Chem. Phys. 89, 5753 (1988); J. D. Doll, R. D. Coalson, and R. L. Freeman ibid. 87, 1641 (1987); J. D. Doll and D. L. Freeman, Science 234, 1356 (1986).
    • (1988) Chem. Phys. Lett. , vol.143 , pp. 277
    • Doll, J.D.1    Freeman, D.L.2    Gillan, M.J.3
  • 23
    • 0001509221 scopus 로고
    • J. D. Doll and D. L. Freeman, Adv. Chem. Phys. 73, 120 (1988); J. D. Doll, D. L. Freeman, and M. J. Gillan, Chem. Phys. Lett. 143, 277 (1988); J. D. Doll, T. L. Beck, and D. L. Freeman, J. Chem. Phys. 89, 5753 (1988); J. D. Doll, R. D. Coalson, and R. L. Freeman ibid. 87, 1641 (1987); J. D. Doll and D. L. Freeman, Science 234, 1356 (1986).
    • (1988) J. Chem. Phys. , vol.89 , pp. 5753
    • Doll, J.D.1    Beck, T.L.2    Freeman, D.L.3
  • 24
    • 0000813843 scopus 로고
    • J. D. Doll and D. L. Freeman, Adv. Chem. Phys. 73, 120 (1988); J. D. Doll, D. L. Freeman, and M. J. Gillan, Chem. Phys. Lett. 143, 277 (1988); J. D. Doll, T. L. Beck, and D. L. Freeman, J. Chem. Phys. 89, 5753 (1988); J. D. Doll, R. D. Coalson, and R. L. Freeman ibid. 87, 1641 (1987); J. D. Doll and D. L. Freeman, Science 234, 1356 (1986).
    • (1987) J. Chem. Phys. , vol.87 , pp. 1641
    • Doll, J.D.1    Coalson, R.D.2    Freeman, R.L.3
  • 25
    • 0022865472 scopus 로고
    • J. D. Doll and D. L. Freeman, Adv. Chem. Phys. 73, 120 (1988); J. D. Doll, D. L. Freeman, and M. J. Gillan, Chem. Phys. Lett. 143, 277 (1988); J. D. Doll, T. L. Beck, and D. L. Freeman, J. Chem. Phys. 89, 5753 (1988); J. D. Doll, R. D. Coalson, and R. L. Freeman ibid. 87, 1641 (1987); J. D. Doll and D. L. Freeman, Science 234, 1356 (1986).
    • (1986) Science , vol.234 , pp. 1356
    • Doll, J.D.1    Freeman, D.L.2
  • 29
    • 0040666907 scopus 로고
    • N. Makri, Chem. Phys. Lett. 159, 489 (1989); Comput. Phys. Commun. 63, 389 (1991).
    • (1989) Chem. Phys. Lett. , vol.159 , pp. 489
    • Makri, N.1
  • 30
    • 0026103026 scopus 로고
    • N. Makri, Chem. Phys. Lett. 159, 489 (1989); Comput. Phys. Commun. 63, 389 (1991).
    • (1991) Comput. Phys. Commun. , vol.63 , pp. 389
  • 37
    • 0002665753 scopus 로고
    • T. Marchioro, J. Math. Phys. 31, 2935 (1990); T. L. Marchioro and T. L. Beck, J. Chem. Phys. 96, 2966 (1992).
    • (1990) J. Math. Phys. , vol.31 , pp. 2935
    • Marchioro, T.1
  • 40
    • 0007825870 scopus 로고
    • N. Nayar, D. K. Hoffman, X. Ma, and D. J. Kouri, J. Phys. Chem. 96, 9637 (1992); Y. Huang, D. J. Kouri, and D. K. Hoffman, Chem. Phys. Lett. 238, 387 (1995); D. J. Kouri, M. Arnold, and D. K. Hoffman, ibid. 203, 166 (1993).
    • (1992) J. Phys. Chem. , vol.96 , pp. 9637
    • Nayar, N.1    Hoffman, D.K.2    Ma, X.3    Kouri, D.J.4
  • 41
    • 4244209729 scopus 로고
    • N. Nayar, D. K. Hoffman, X. Ma, and D. J. Kouri, J. Phys. Chem. 96, 9637 (1992); Y. Huang, D. J. Kouri, and D. K. Hoffman, Chem. Phys. Lett. 238, 387 (1995); D. J. Kouri, M. Arnold, and D. K. Hoffman, ibid. 203, 166 (1993).
    • (1995) Chem. Phys. Lett. , vol.238 , pp. 387
    • Huang, Y.1    Kouri, D.J.2    Hoffman, D.K.3
  • 42
    • 11744387273 scopus 로고
    • N. Nayar, D. K. Hoffman, X. Ma, and D. J. Kouri, J. Phys. Chem. 96, 9637 (1992); Y. Huang, D. J. Kouri, and D. K. Hoffman, Chem. Phys. Lett. 238, 387 (1995); D. J. Kouri, M. Arnold, and D. K. Hoffman, ibid. 203, 166 (1993).
    • (1993) Chem. Phys. Lett. , vol.203 , pp. 166
    • Kouri, D.J.1    Arnold, M.2    Hoffman, D.K.3
  • 46
    • 85034274608 scopus 로고    scopus 로고
    • unpublished
    • V. Szalay (unpublished).
    • Szalay, V.1
  • 47
    • 0039754383 scopus 로고
    • J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 89, 483 (1982); J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985); V. Szalay, ibid. 105, 6940 (1996).
    • (1982) Chem. Phys. Lett. , vol.89 , pp. 483
    • Lill, J.V.1    Parker, G.A.2    Light, J.C.3
  • 48
    • 0000450531 scopus 로고
    • J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 89, 483 (1982); J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985); V. Szalay, ibid. 105, 6940 (1996).
    • (1985) J. Chem. Phys. , vol.82 , pp. 1400
    • Light, J.C.1    Hamilton, I.P.2    Lill, J.V.3
  • 49
    • 0000760901 scopus 로고    scopus 로고
    • J. V. Lill, G. A. Parker, and J. C. Light, Chem. Phys. Lett. 89, 483 (1982); J. C. Light, I. P. Hamilton, and J. V. Lill, J. Chem. Phys. 82, 1400 (1985); V. Szalay, ibid. 105, 6940 (1996).
    • (1996) J. Chem. Phys. , vol.105 , pp. 6940
    • Szalay, V.1
  • 54
    • 11744345047 scopus 로고
    • North-Holland, Amsterdam
    • A. Messiah, Quantum Mechanics, Vol. I (North-Holland, Amsterdam, 1961).
    • (1961) Quantum Mechanics , vol.1
    • Messiah, A.1
  • 55
    • 0003644199 scopus 로고    scopus 로고
    • Muszaki Könyvkiadó, (in Hungarian)
    • G. A. Korn and T. M. Korn, Matematikai Kézikönyv Muszakiaknak, Muszaki Könyvkiadó, 1975 (in Hungarian). (Translated from: G. A. Korn and T. M. Korn, Mathematical Handbook for Scientists and Engineers, Definitions, Theorems and Formulas for Reference and Review, Second, Enlarged and Revised Edition, McGraw-Hill Book Company).
    • (1975) Matematikai Kézikönyv Muszakiaknak
    • Korn, G.A.1    Korn, T.M.2
  • 60
    • 0000767347 scopus 로고
    • J. D. Doll, J. Chem. Phys. 81, 3536 (1984); J. D. Doll and L. E. Myers, ibid. 71, 2880 (1979).
    • (1984) J. Chem. Phys. , vol.81 , pp. 3536
    • Doll, J.D.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.