Published 2011 | Version v1
Journal article

Noncompact Hopf maps, quantum Hall effect, and twistor theory

  • 1. Depart. of General Education, Kagawa National College of Technology, Takuma-cho, Mitoyo-city, Kagawa (Japan)

Description

Introducing a noncompact version of the Hopf maps, we develop a noncompact formulation of the quantum Hall effect. In particular, we focus on a construction of quantum Hall effect on a 4D hyperboloid. It is pointed that the noncompact 4D quantum Hall effect shares remarkably analogous structures with twistor theory. The contents are based on the recent papers arXiv:0902.2523 and ar Xiv:0905.2792

Availability note (English)

Available online: http://www1.jinr.ru/Pepan_letters/panl_2011_3/07_has.pdf

Additional details

Publishing Information

Journal Title
Pis'ma v Zhurnal 'Fizika Ehlementarnykh Chastits i Atomnogo Yadra'
Journal Volume
8
Journal Issue
3/166
Journal Page Range
p. 385-393
ISSN
1814-5957

Conference

Title
International workshop 'Supersymmetries and Quantum Symmetries
Acronym
SQS'09
Dates
29 Jul - 3 Aug 2009
Place
Dubna (Russian Federation)

INIS

Country of Publication
Joint Institute for Nuclear Research (JINR)
Country of Input or Organization
Joint Institute for Nuclear Research (JINR)
INIS RN
42107453
Subject category
S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; S72: PHYSICS OF ELEMENTARY PARTICLES AND FIELDS;
Resource subtype / Literary indicator
Conference
Descriptors DEI
EIGENVALUES; HALL EFFECT; HAMILTONIANS; LAGRANGIAN FUNCTION; LORENTZ GROUPS; MAPS; SPACE-TIME; TWISTOR THEORY
Descriptors DEC
FUNCTIONS; LIE GROUPS; MATHEMATICAL OPERATORS; POINCARE GROUPS; QUANTUM OPERATORS; SYMMETRY GROUPS

Optional Information

Notes
34 refs.; 2 tabs.