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

Yoshio Ohnuki
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Yoshio Ohnuki: Nagoya Women’s University

A chapter in Symmetries in Science VIII, 1995, pp 415-431 from Springer

Abstract: 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 .

Keywords: Irreducible Representation; Gauge Potential; Unitary Irreducible Representation; Canonical Commutation Relation; Secondary Constraint (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4615-1915-7_30

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DOI: 10.1007/978-1-4615-1915-7_30

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