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Volumn 108, Issue 4, 1998, Pages 1562-1569

Evaluation of coherent-state path integrals in statistical mechanics by matrix multiplication

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EID: 0000124456     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.475527     Document Type: Article
Times cited : (7)

References (35)
  • 1
    • 0026103026 scopus 로고
    • The following recent reviews may serve as guides to the literature: N. Makri, Comput. Phys. Commun. 63, 389 (1991); J. Math. Phys. 36, 2430 (1995); C. H. Mak and R. Egger, in Adv. in Chem. Phys. XCIII, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996) p. 39; G. A. Voth, in Adv. in Chem. Phys. XCIII, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996), p. 135.
    • (1991) Comput. Phys. Commun. , vol.63 , pp. 389
    • Makri, N.1
  • 2
    • 36449001193 scopus 로고
    • The following recent reviews may serve as guides to the literature: N. Makri, Comput. Phys. Commun. 63, 389 (1991); J. Math. Phys. 36, 2430 (1995); C. H. Mak and R. Egger, in Adv. in Chem. Phys. XCIII, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996) p. 39; G. A. Voth, in Adv. in Chem. Phys. XCIII, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996), p. 135.
    • (1995) J. Math. Phys. , vol.36 , pp. 2430
  • 3
    • 0002704574 scopus 로고    scopus 로고
    • edited by I. Prigogine and S. A. Rice Wiley, New York
    • The following recent reviews may serve as guides to the literature: N. Makri, Comput. Phys. Commun. 63, 389 (1991); J. Math. Phys. 36, 2430 (1995); C. H. Mak and R. Egger, in Adv. in Chem. Phys. XCIII, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996) p. 39; G. A. Voth, in Adv. in Chem. Phys. XCIII, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996), p. 135.
    • (1996) Adv. in Chem. Phys. XCIII , pp. 39
    • Mak, C.H.1    Egger, R.2
  • 4
    • 0642311214 scopus 로고    scopus 로고
    • edited by I. Prigogine and S. A. Rice Wiley, New York
    • The following recent reviews may serve as guides to the literature: N. Makri, Comput. Phys. Commun. 63, 389 (1991); J. Math. Phys. 36, 2430 (1995); C. H. Mak and R. Egger, in Adv. in Chem. Phys. XCIII, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996) p. 39; G. A. Voth, in Adv. in Chem. Phys. XCIII, edited by I. Prigogine and S. A. Rice (Wiley, New York, 1996), p. 135.
    • (1996) Adv. in Chem. Phys. XCIII , pp. 135
    • Voth, G.A.1
  • 21
    • 0002498295 scopus 로고
    • Lecture Notes in Physics Springer, Berlin
    • H. Leschke, in Feynman Path Integrals, Lecture Notes in Physics (Springer, Berlin 1979), Vol. 106, p. 435.
    • (1979) Feynman Path Integrals , vol.106 , pp. 435
    • Leschke, H.1
  • 22
    • 85034302900 scopus 로고    scopus 로고
    • note
    • Many authors (see, for example, Ref. 20) define the normal symbol only for α=α′. In the present context it is important that α may differ from α′.
  • 24
    • 85034303425 scopus 로고    scopus 로고
    • note
    • -(α) is known, for example, for all polynomials in a and a† and for the exponential of a quadratic form in a and a†.
  • 25
    • 0002480113 scopus 로고
    • Leschke (Ref. 18) discussed both NCSPI and ACSPI; M. Ciafaloni and E. Onofri, Nucl. Phys. B 151, 118 (1979) mention the generalized definition (2.15). The NCSPI is discussed by Schulman, Ref. 5 (Chap. 27), the ACSPI by Marchioro, Ref. 6.
    • (1979) Nucl. Phys. B , vol.151 , pp. 118
    • Ciafaloni, M.1    Onofri, E.2
  • 27
    • 85034284908 scopus 로고    scopus 로고
    • note
    • Of course β→∞ at fixed N is not the procedure leading to correct low-temperature results, but in nontrivial cases finite-N data are all that is available.
  • 29
    • 85034299716 scopus 로고    scopus 로고
    • note
    • It would be interesting to study whether classical collapse in the RSPI can be prevented by using Trotter approximations of still higher order.
  • 32
    • 11944260941 scopus 로고
    • D. M. Ceperley, Rev. Mod. Phys. 67, 279 (1995), Sec. IV G, discusses the matrix squaring method as an efficient approach for calculating the partial-wave components of the pair density matrix in numerical RSPI calculations for condensed He.
    • (1995) Rev. Mod. Phys. , vol.67 , pp. 279
    • Ceperley, D.M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.