Pascal program for generating tables of SU(3) Clebsch-Gordan coefficients
نویسندگان
چکیده
منابع مشابه
Su(3) Clebsch-gordan Coefficients
The purpose of this paper is to find out a set of general recurrence formulas for the calculus of the SU(3) Clebsch-Gordan coefficients. The first six sections are introductory, presenting the notations and general group theoretical methods applied to SU(3). The following eight sections are devoted to a detailed treatment of the carrier spaces of the irreducible representations and their direct...
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Computer codes are developed to calculate Clebsch–Gordan coefficients of SU(3) in both SU(2)and SO(3)-coupled bases. The efficiency of this code derives from the use of vector coherent state theory to evaluate the required coefficients directly without recursion relations. The approach extends to other compact semi-simple Lie groups. The codes are given in subroutine form so that users can inco...
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There appear to be two standard ways of calculation C-G coefficients in quantum mechanics. One method is to combine the “ladder” operator approach with orthogonality conditions. The second method is to use some type of closed form [2] which allows the coefficients to be calculated directly. However, the latter approach is at times considered “tedious” [2] and does not reveal any new information...
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A C-Language program which tabulates the isoscalar factors and ClebschGordan coefficients for products of representations in SU(3) is presented. These are efficiently computed using recursion relations, and the results are presented in exact precision as square roots of rational numbers. Output is in LTEX format.
متن کاملA Calculus for Su(3) Leading to an Algebraic Formula for the Clebsch-gordan Coefficients
ABSTRACT: We develop a simple computational tool for SU(3) analogous to Bargmann’s calculus for SU(2). Crucial new inputs are, (i) explicit representation of the Gelfand-Zetlin basis in terms of polynomials in four variables and positive or negative integral powers of a fifth variable (ii) an auxiliary Gaussian measure with respect to which the Gelfand-Zetlin states are orthogonal but not norma...
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ژورنال
عنوان ژورنال: Computer Physics Communications
سال: 1995
ISSN: 0010-4655
DOI: 10.1016/0010-4655(94)00115-i