Quantum Hall effect wavefunctions as cyclic representations of Uq(sl(2))

Ömer F. Dayi

doi:10.1088/0305-4470/31/15/016

Quantum Hall effect wavefunctions as cyclic representations of U_q(sl(2))

Ömer F. Dayi^*

^*Corresponding author for this work

Scientific and Technological Research Council of Turkey

Research output: Contribution to journal › Article › peer-review

5 Citations (Scopus)

Abstract

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 Ψ_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)).

Original language	English
Pages (from-to)	3523-3529
Number of pages	7
Journal	Journal of Physics A: Mathematical and General
Volume	31
Issue number	15
DOIs	https://doi.org/10.1088/0305-4470/31/15/016
Publication status	Published - 17 Apr 1998
Externally published	Yes

Access to Document

10.1088/0305-4470/31/15/016

Cite this

@article{32c7402d6e5541b4981a9c7749085511,

title = "Quantum Hall effect wavefunctions as cyclic representations of Uq(sl(2))",

abstract = "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 Uq(sl(2)) at q2p+1 = 1. Thus, the wavefunctions ΨP/Q possessing filling factors P/Q < 1 where Q is odd and P, Q are relatively prime integers are classified in terms of Uq(sl(2)).",

author = "Dayi, \{{\"O}mer F.\}",

year = "1998",

month = apr,

day = "17",

doi = "10.1088/0305-4470/31/15/016",

language = "English",

volume = "31",

pages = "3523--3529",

journal = "Journal of Physics A: Mathematical and General",

issn = "0305-4470",

publisher = "IOP Publishing Ltd.",

number = "15",

}

TY - JOUR

T1 - Quantum Hall effect wavefunctions as cyclic representations of Uq(sl(2))

AU - Dayi, Ömer F.

PY - 1998/4/17

Y1 - 1998/4/17

N2 - 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 Uq(sl(2)) at q2p+1 = 1. Thus, the wavefunctions ΨP/Q possessing filling factors P/Q < 1 where Q is odd and P, Q are relatively prime integers are classified in terms of Uq(sl(2)).

AB - 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 Uq(sl(2)) at q2p+1 = 1. Thus, the wavefunctions ΨP/Q possessing filling factors P/Q < 1 where Q is odd and P, Q are relatively prime integers are classified in terms of Uq(sl(2)).

UR - https://www.scopus.com/pages/publications/0039242118

U2 - 10.1088/0305-4470/31/15/016

DO - 10.1088/0305-4470/31/15/016

M3 - Article

AN - SCOPUS:0039242118

SN - 0305-4470

VL - 31

SP - 3523

EP - 3529

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 15

ER -

Quantum Hall effect wavefunctions as cyclic representations of U_q(sl(2))

Abstract

Access to Document

Other files and links

Fingerprint

Cite this