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Pauili Matrixes and Generalized Rotations

Author

Listed:
  • Hüseyin Önal

    (International Black Sea University)

  • Vakhtang Rodonaia

    (International Black Sea University)

  • David Chikovani

    (International Black Sea University)

Abstract

In the article, using spinor representation of orthogonal transformations, the equations, for generalized rotations are received. The rotations are defined as set of all possible rotations, both with zero, and non-zero centers which carry out transformations of initial 3-dimensional point into a final. The expressions between second order complex unitary transformations matrixes and real orthogonal matrixes of rotations in L are received, that allows easily calculating of corresponding Euler's angles.

Suggested Citation

  • Hüseyin Önal & Vakhtang Rodonaia & David Chikovani, 2006. "Pauili Matrixes and Generalized Rotations," IBSU Scientific Journal, International Black Sea University, vol. 1(1), pages 210-217.
    • Handle: RePEc:ibl:journl:v:1:y:2006:i:1:p:210-217
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    File URL: https://journal.ibsu.edu.ge/index.php/ibsusj/article/download/24/24
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    More about this item

    Keywords

    Spinors; Generalized Rotations; Hermitian Transformations; Orthogonal Transformations.;
    All these keywords.

    JEL classification:

    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other

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