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Irreducible Representations of Fundamental Algebra for Quantum Mechanics on S D and Gauge Structures

In: Symmetries in Science VIII

Author

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  • Yoshio Ohnuki

    (Nagoya Women’s University)

Abstract

All possible irreducible representations of fundamental algebra for a particle moving on S D are determined by applying the induced representation technique developed by Wigner. It is shown that the theory is automatically equipped with a monopole-like gauge potential. Some topological properties of the gauge potential are also discussed. Examining a relation of our theory with Dirac’s formulation for a constrained system we determine the irreducible representation of the Dirac algebra for a particle constrained on S D .

Suggested Citation

  • Yoshio Ohnuki, 1995. "Irreducible Representations of Fundamental Algebra for Quantum Mechanics on S D and Gauge Structures," Springer Books, in: Bruno Gruber (ed.), Symmetries in Science VIII, pages 415-431, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-1915-7_30
    DOI: 10.1007/978-1-4615-1915-7_30
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