Induced Gauge Structure of Quantum Mechanics on SD | Zendy

Minoru Hirayama | Zendy; H.-M. Zhang | Zendy; Takeshi Hamada | Zendy

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Induced Gauge Structure of Quantum Mechanics on SD

Author(s) -

Minoru Hirayama,

H.-M. Zhang,

Takeshi Hamada

Publication year - 1997

Publication title -

progress of theoretical physics

Language(s) - English

Resource type - Journals

eISSN - 1347-4081

pISSN - 0033-068X

DOI - 10.1143/ptp.97.679

Subject(s) - physics , covariant transformation , magnetic monopole , gauge (firearms) , gauge theory , scheme (mathematics) , quantum , mathematical physics , term (time) , quantum mechanics , theoretical physics , mathematics , mathematical analysis , archaeology , history

The Ohnuki-Kitakado (O-K) scheme of quantum mechanics on S^D embedded in R^{D+1} is investigated. Generators satisfying the O-K algebra is written down explicitly in term of the induced gauge potential. A direct method is developed to obtain the generators in covariant form. It is seen that the Wu-Yang monopole (D=2) and the zero size instanton (D=3) emerge as the induced gauge potential. The relation of the O-K scheme to extended objects such as 't Hooft-Polyakov monopole is discussed

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