منابع مشابه
Asymptotics and 6j-symbols
Recent interest in the Kashaev-Murakami-Murakami hyperbolic volume conjecture has made it seem important to be able to understand the asymptotic behaviour of certain special functions arising from representation theory — for example, of the quantum 6j -symbols for SU(2). In 1998 I worked out the asymptotic behaviour of the classical 6j -symbols, proving a formula involving the geometry of a Euc...
متن کاملGenerating Functions for Multi-j-Symbols
with x ∈ SU(2). The j1, j2, j3 are half integers and m1 = −j1, −j1 + 1, . . . , j1, etc. Obviously Eq. (1) depends on the explicit choice of the representations R(j). As usual we use Euler parameters to parameterize SU(2) and choose representations that are diagonal in the first and the third rotation: R mm′ (α, β, γ) = exp ( imα+ imγ ) djmm′ (β) , (2) DIAS, 10 Burlington Rd., Dubin 4, Ireland ...
متن کاملNew formula for 9-j symbols and their direct calculation
An algebraic expression for 9-j symbols in the form of a summation of the products of binomial coefficients is obtained. An algorithm is also devised to calculate these binomial coefficients recursively. This avoids the evaluation of factorials of integers, which is the main source of overflow in calculation of coupling coefficients for large angular momenta. Thus, the new formula permits accur...
متن کاملThe Vertex - Face Correspondence and the Elliptic 6 j - symbols
A new formula connecting the elliptic 6j-symbols and the fusion of the vertex-face intertwining vectors is given. This is based on the identification of the k fusion intertwining vectors with the change of base matrix elements from Sklyanin's standard base to Rosengren's natural base in the space of even theta functions of order 2k. The new formula allows us to derive various properties of the ...
متن کاملDeciphering the functional role of hypothetical proteins from Chloroflexus aurantiacs J-10-f1 using bioinformatics approach
Chloroflexus aurantiacus J-10-f1 is an anoxygenic, photosynthetic, facultative autotrophic gram negative bacterium found from hot spring at a temperature range of 50-60°C. It can sustain itself in dark only if oxygen is available thereby exhibiting a dark orange color, however display a dark green color when grown in sunlight. Genome of the organism contains total of 3853 proteins out ...
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ژورنال
عنوان ژورنال: Classical and Quantum Gravity
سال: 2002
ISSN: 0264-9381
DOI: 10.1088/0264-9381/19/24/315