M.Sc. Tezi Görüntüleme

Student:	Salih Mustafa KARABIDAK
Supervisor:	Asist. Prof. Dr. Ahmet Hakan YILMAZ
Department:	Physics
Institution:	Graduate School of Natural and Applied Sciences
University:	Karadeniz Technical University, Turkey

Title of the Thesis:	Calculatıons Of Angular Momentum Couplıng Coeffıcıents On A Computer Code
Level:	M.Sc.
Acceptance Date:	25/6/2004
Number of Pages:	180
Registration Number:	i1488

Summary:

In this study, Clebsch-Gordan coefficients, 3j symbols, Racah coefficients, Wigner's 6j and 9j symbols were calculated a prepared computer code of COEFF.

The computer program COEFF is described which calculates angular momentum coupling coefficients and expresses them as quotient of two integers multiplied by the square root of the quotient of two integers. The program includes subroutines to encode an integer into its prime factors, to decode a product of prime factors back into an integer, to perform basic arithmetic operations on prime-coded numbers, as well as subroutines which calculate the coupling coefficients themselves.

The computer code COEFF had been prepared to run on a VAX. In this study we rearranged the code to run on PC and tested it succesfully.

The obtained values in this study, were compared with the values of other computer programs. A pretty good agreement is obtained between our prepared computer code and other computer programs.

Key Words:Angular Momentum Theory, Infinitesimal Rotations, Clebsch-Gordan Coefficients, 3j Symbols, Racah Coefficients, Wigner 6j and 9j Symbols, 12j Symbols, Wigner-Eckart Theory, Graphical Methods