Computation of Rotation Matrices Making Lined‐Up to the Local Cartesian Coordinates |
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| Authors: | Yusuf Yakar Ayhan Özmen Bekir ÇLakir Hüseyin Yüksel |
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| Institution: | 1. Department of Physics, Faculty of Arts and Sciences, Aksaray University, Aksaray, Turkey;2. Department of Physics, Faculty of Arts and Sciences, Selcuk University, Campus, Konya, Turkey |
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| Abstract: | Rotation matrices were expressed in terms of Gaunt coefficients and complex spherical harmonics. The rotation matrices were calculated using two different ways. In the first, Gaunt coefficients and normalized complex spherical harmonics were directly calculated using binomial coefficients; in the second, Gaunt coefficients and complex spherical harmonics were recursively calculated. The methods were compared with respect to accuracy and computation time (CPU) for low and very high quantum numbers. |
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| Keywords: | Rotation matrices Gaunt coefficients Spherical harmonics Binomial coefficients |
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