Quantum Hall effect wavefunctions as cyclic representations of U-q(sl(2))

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Atıf İçin Kopyala

Dayi O.

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, cilt.31, sa.15, ss.3523-3529, 1998 (SCI-Expanded)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 31 Sayı: 15
• Basım Tarihi: 1998
• Doi Numarası: 10.1088/0305-4470/31/15/016
• Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
• Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
• Sayfa Sayıları: ss.3523-3529
• İstanbul Teknik Üniversitesi Adresli: Hayır

Özet

Quantum Hall effect wavefunctions corresponding to the filling factors 1/2p + 1, 2/2p + 1,..., 2p/2p + 1, 1, are shown to form a basis of irreducible cyclic representations of the quantum algebra U-q(sl(2)) at q(2p+1) = 1. Thus, the wavefunctions Psi(P/Q) possessing filling factors P/Q < 1 where Q is odd and P, Q are relatively prime integers are classified in terms of U-q(sl(2)).