Published April 30, 1984 | Version v1
Journal article

Tables of one-body CFP for group chains U(mn)containsU(m)xU(n) and U(mp+nq/mq+np)containsU(m/n)xU(p/q)

  • 1. Nanjing Univ. (China). Physics Dept.
  • 2. Academia Sinica, Beijing (China). Inst. of Atomic Energy
  • 3. Drexel Univ., Philadelphia, PA (USA). Dept. of Physics and Atmospheric Science

Description

Tables of the one-body coefficients of fractional parentage are presented for the unitary group chain U(mn)containsU(m)xU(n) and the graded unitary group chain U(mp+nq(mq+np))containsU(m+n)XU(p/q) with arbitrary m, n, p and q for systems having up to six particles. These coefficients are computed by using a program based on the fact that they are the isoscalar factors for the permutation group chain S(f)containsS(f-1), and thus are m and n (or m, n, p and q) independent. The S(f)containsS(f-1) isoscalar factors are calculated by the eigenfunction method. Incidently, the program also provides an efficient way for constructing the Clebsch-Gordan coefficients of the permutation group. (orig.)

Additional details

Publishing Information

Journal Title
Nucl. Phys., A
Journal Volume
419
Journal Issue
1
Series
CODEN: NUPAB.;Nucl. Phys., A.
Journal Page Range
77-100
ISSN
0375-9474

INIS

Country of Publication
Netherlands
Country of Input or Organization
Netherlands
INIS RN
15050625
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
Resource subtype / Literary indicator
Numerical Data
Descriptors DEI
CLEBSCH-GORDAN COEFFICIENTS; EIGENFUNCTIONS; FRACTIONAL-PARENTAGE COEFFICIE; GRADED LIE GROUPS; MULTIPLICITY; THEORETICAL DATA; U GROUPS
Descriptors DEC
DATA; FUNCTIONS; INFORMATION; LIE GROUPS; NUMERICAL DATA; SYMMETRY GROUPS