메뉴 건너뛰기




Volumn 41, Issue 11, 2000, Pages 7589-7610

The triple sum formulas for 9j coefficients of SU(2) and uq(2)

Author keywords

[No Author keywords available]

Indexed keywords


EID: 0041110128     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.1312198     Document Type: Article
Times cited : (10)

References (62)
  • 3
    • 85037767876 scopus 로고
    • Vilnius
    • A. P. Jucys, I. B. Levinson, and V. V. Vanagas, Mathematical Apparatus of the Theory of Angular Momentum (Israel Program for Scientific Translations, Jerusalem, 1962) [Russian Original, Gospolitnauchizdat, Vilnius, 1960].
    • (1960) Gospolitnauchizdat
  • 8
    • 0001517315 scopus 로고
    • S. Ališauskas and A. P. Jucys, J. Math. Phys. 12, 594 (1971); 13, 575(E) (1972).
    • (1972) J. Math. Phys.
  • 10
    • 0004276832 scopus 로고
    • Mintis, Vilnius, Russian. Note the misleading reference (concerning the triple sum formula for the 9j coefficients) to this edition in Ref. 4
    • A. P. Jucys and A. A. Bandzaitis, Theory of Angular Momentum in Quantum Mechanics (Mintis, Vilnius, 1965) (in Russian). Note the misleading reference (concerning the triple sum formula for the 9j coefficients) to this edition in Ref. 4.
    • (1965) Theory of Angular Momentum in Quantum Mechanics
    • Jucys, A.P.1    Bandzaitis, A.A.2
  • 20
    • 0242275435 scopus 로고    scopus 로고
    • Special functions and differential equations
    • edited by K. Srinivasa Rao, R. Jagannathan, G. Vanden Berghe, and J. Van der Jeugt Allied, New Delhi
    • K. Srinivasa Rao, in Special Functions and Differential Equations, in Proceedings of the Workshop (WSSF97), Madras, 1997, edited by K. Srinivasa Rao, R. Jagannathan, G. Vanden Berghe, and J. Van der Jeugt (Allied, New Delhi, 1998), p. 165.
    • (1998) Proceedings of the Workshop (WSSF97), Madras, 1997 , pp. 165
    • Srinivasa Rao, K.1
  • 26
    • 25044449986 scopus 로고
    • Litov. Fiz. Sb. Russian
    • S. Ališauskas, Liet. Fiz. Rink. [Litov. Fiz. Sb.] 13, 829 (1973) (in Russian).
    • (1973) Liet. Fiz. Rink. , vol.13 , pp. 829
    • Ališauskas, S.1
  • 28
    • 0003624949 scopus 로고    scopus 로고
    • Multivariable orthogonal polynomials as coupling coefficients for lie and quantum algebra representations
    • Lund University, Doctoral Theses
    • H. Rosengren, "Multivariable Orthogonal Polynomials as Coupling Coefficients for Lie and Quantum Algebra Representations," Lund University, Doctoral Theses in Math. Sc. 1999:2.
    • (1999) Math. Sc. , vol.2
    • Rosengren, H.1
  • 29
    • 0033249113 scopus 로고    scopus 로고
    • remarks on paper 3 (which corresponds to a reprint of Ref. 25) in Ref. 26
    • H. Rosengren, J. Math. Phys. 40, 6689 (1999). See also remarks on paper 3 (which corresponds to a reprint of Ref. 25) in Ref. 26.
    • (1999) J. Math. Phys. , vol.40 , pp. 6689
    • Rosengren, H.1
  • 35
    • 85037770244 scopus 로고
    • Preprint LIYaF No. 1665, Leningrad
    • Yu. F. Smirnov, V. N. Tolstoy, and Yu. I. Kharitonov, Preprint LIYaF No. 1665, Leningrad, 1990; Yad. Fiz. 55, 2863 (1992) [Sov. J. Nucl. Phys. 55, 1599 (1992)].
    • (1990)
    • Smirnov, Y.F.1    Tolstoy, V.N.2    Kharitonov, Y.I.3
  • 36
    • 0000123656 scopus 로고
    • Yu. F. Smirnov, V. N. Tolstoy, and Yu. I. Kharitonov, Preprint LIYaF No. 1665, Leningrad, 1990; Yad. Fiz. 55, 2863 (1992) [Sov. J. Nucl. Phys. 55, 1599 (1992)].
    • (1992) Yad. Fiz. , vol.55 , pp. 2863
  • 37
    • 0040812902 scopus 로고
    • Yu. F. Smirnov, V. N. Tolstoy, and Yu. I. Kharitonov, Preprint LIYaF No. 1665, Leningrad, 1990; Yad. Fiz. 55, 2863 (1992) [Sov. J. Nucl. Phys. 55, 1599 (1992)].
    • (1992) Sov. J. Nucl. Phys. , vol.55 , pp. 1599
  • 38
    • 0040092147 scopus 로고    scopus 로고
    • Note that the degree of q in the r.h.s. of Eq. (4.11) should be changed to opposite
    • S. Ališauskas, J. Phys. A 30, 4615 (1997). Note that the degree of q in the r.h.s. of Eq. (4.11) should be changed to opposite.
    • (1997) J. Phys. A , vol.30 , pp. 4615
    • Ališauskas, S.1
  • 43
    • 0040181580 scopus 로고
    • Yu. F. Smirnov, V. N. Tolstoy, and Yu. I. Kharitonov, Yad. Fiz 53, 1746 (1991) [Sov. J. Nucl. Phys. 53, 1068 (1991)].
    • (1991) Sov. J. Nucl. Phys. , vol.53 , pp. 1068
  • 45
    • 0030511533 scopus 로고    scopus 로고
    • R. M. Asherova, Yu. F. Smirnov, and V. N. Tolstoy, Yad. Fiz. 59, 1859 (1996) [ Phys. Atom. Nucl. 59, 1795 (1996)]; Czech. J. Phys. 46, 127 (1996).
    • (1996) Phys. Atom. Nucl. , vol.59 , pp. 1795
  • 46
    • 0030543877 scopus 로고    scopus 로고
    • R. M. Asherova, Yu. F. Smirnov, and V. N. Tolstoy, Yad. Fiz. 59, 1859 (1996) [ Phys. Atom. Nucl. 59, 1795 (1996)]; Czech. J. Phys. 46, 127 (1996).
    • (1996) Czech. J. Phys. , vol.46 , pp. 127
  • 48
    • 85037782636 scopus 로고    scopus 로고
    • Although the third sum may be nonvanishing in spite of such spoiling of the triangular conditions
    • Although the third sum may be nonvanishing in spite of such spoiling of the triangular conditions.
  • 51
    • 0003344023 scopus 로고
    • Basic hypergeometric series
    • edited by G.-C. Rota Cambridge University Press, Cambridge
    • G. Gasper and M. Rahman, Basic Hypergeometric Series, Vol. 35, in Encyclopedia of Mathematics and Its Applications, edited by G.-C. Rota (Cambridge University Press, Cambridge, 1990).
    • (1990) Encyclopedia of Mathematics and Its Applications , vol.35
    • Gasper, G.1    Rahman, M.2
  • 55
    • 0001049256 scopus 로고
    • Yu. F. Smirnov, V. N. Tolstoy, and Yu. I. Kharitonov, Yad. Fiz. 53, 959 (1991) [Sov. J. Nucl. Phys. 53, 593 (1991)].
    • (1991) Sov. J. Nucl. Phys. , vol.53 , pp. 593
  • 57
    • 0005144366 scopus 로고
    • S. Ališauskas, Liet. Fiz. Rink. 14, 545 (1974) [Sov. Phys. Collect. (Lit. Fiz. Sb.) 14(4), 1 (1974)]
    • (1974) Liet. Fiz. Rink. , vol.14 , pp. 545
    • Ališauskas, S.1
  • 58
    • 0040358552 scopus 로고
    • Lit. Fiz. Sb.
    • S. Ališauskas, Liet. Fiz. Rink. 14, 545 (1974) [Sov. Phys. Collect. (Lit. Fiz. Sb.) 14(4), 1 (1974)]
    • (1974) Sov. Phys. Collect. , vol.14 , Issue.4 , pp. 1
  • 60
    • 0039938982 scopus 로고    scopus 로고
    • k, as well as in the corresponding definitions given in Refs. 34 and 35
    • k, as well as in the corresponding definitions given in Refs. 34 and 35.
    • (1998) J. Phys. A , vol.31 , pp. 7461
    • Ališauskas, S.1    Draayer, J.P.2
  • 62
    • 0033240104 scopus 로고    scopus 로고
    • Note, that the term " + ks″ + " in the denominator of the last row of Eq. (1.8) should be written as " + k + s″ + " and the all terms in the first row of the r.h.s. of Eq. (1.12) should be in exponent of q.
    • S. Ališauskas, J. Math. Phys. 40, 5939 (1999). Note, that the term " + ks″ + " in the denominator of the last row of Eq. (1.8) should be written as " + k + s″ + " and the all terms in the first row of the r.h.s. of Eq. (1.12) should be in exponent of q.
    • (1999) J. Math. Phys. , vol.40 , pp. 5939
    • Ališauskas, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.