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Γ(2), Non-commuting Winding Numbers and Quantization on Triply Punctured Two-sphere

Hishamuddin Zainuddin, and Ahmed Bouketir, (2003) Γ(2), Non-commuting Winding Numbers and Quantization on Triply Punctured Two-sphere. Jurnal Fizik Malaysia, 24 (3 & 4). pp. 101-106. ISSN 0128-0333

Full text not available from this repository.

Affiliations

Universiti Putra Malaysia. ITMA and Dept. of Physics
Asian Institute of Medicine, Science and Technology, Thailand, Faculty of Engineering and Computer Technology

Abstract

Triply punctured two-sphere being homeomorphic to doubly punctured plane is known to have a non-abelian fundamental group namely the principal congruence subgroup of level 2, $\Gamma(2)$ of the modular group. We construct explicitly the correspondence of the noncommutative winding numbers with parameters of $\Gamma(2)$. Its eventual role in the quantization on triply punctured two-sphere is also discussed.

Item Type:Journal
Subjects:Q Science, Computer Science
T Technology, Engineering
ID Code:3780

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