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ABSTRACT
This project was conducted to find the dual Hilbert space of an SU(2) group using various values of l and m. Where "l " represents the angular momentum quantum number, and "m" represents the magnetic quantum number The method used in determining the dual Hilbert space is Spherical harmonics which relates to the quantum mechanics of particles with spin. In spherical harmonics, l represents the spin of the particle and the values of m represent the possible orientations of the particle's spin in the chosen axis direction. If l = 1 2 then the values of m = [ 1 2 , − 1 2 ] and if l = 3 2 then the values of m = [ 3 2 , 1 2 , − 1 2 ,− 3 2 ] The dual Hilbert space which was derived using spherical harmonics was calculated for various values of l and m.
