caa a22 4500 465754813 CHVBK 20180323111844.0 cr unu---uuuuu 170327e19901201xx s 000 0 eng 10.1007/BF01170018 doi (NATIONALLICENCE)springer-10.1007/BF01170018 Unitary group tensor operator algebras for many-electron systems: I. Clebsch-Gordan and Racah coefficients [Elektronische Daten] [Xiangzhu Li, Josef Paldus] A basis for the Racah-Wigner algebra of irreducible representations of the unitary group U(n) that are pertinent to quantum chemical models of many-electron systems is developed. Standard Clebsch-Gordan coefficients and isoscalar factors (also called coupling factors or reduced Wigner coefficients) for both symmetric (S N ) and unitary [U(n)] groups are extended to transformation coefficients and corresponding isoscalar factors relating canonical Young-Yamanouchi or Gel'fand-Tsetlin bases to simple partitioned bases. All these different types of isoscalar factors are interrelated using the well-known reciprocity between the S N and U(n) tensor representations, and general expressions relating these different factors are given. For the two-column representations characterizing the many-electron theory, detailed explicit expressions are presented for both the above-mentioned relationships and for all relevant U(n) isoscalar factors. Finally, U(n) Racah coefficients are introduced and explicit expressions derived for certain special classes of these coefficients. J.C. Baltzer AG, Scientific Publishing Company, 1990 Li Xiangzhu Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada aut Paldus Josef Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada aut Journal of Mathematical Chemistry Kluwer Academic Publishers 4/1(1990-12-01), 295-353 0259-9791 4:1<295 1990 4 10910 https://doi.org/10.1007/BF01170018 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01170018 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Li Xiangzhu Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada aut NATIONALLICENCE 700 1- Paldus Josef Department of Applied Mathematics, University of Waterloo, N2L 3G1, Waterloo, Ontario, Canada aut NATIONALLICENCE 773 0- Journal of Mathematical Chemistry Kluwer Academic Publishers 4/1(1990-12-01), 295-353 0259-9791 4:1<295 1990 4 10910 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer