Commutators of Jastrow Factors and Angular Momentum Operators

• Authors: B. Kuśmierz , A. Wójs
• Languages of publication: EN

Abstracts

EN

We present detailed calculations of commutators of the Jastrow factor and certain differential operators useful in the fractional quantum Hall effect. In particular, we analyze action of the angular momentum operators projected from the Haldane sphere on an arbitrary composite fermions state. Examined L⁺ and L¯ momentum operators and following uniformity condition had proven to be useful in the search for candidates for quantum Hall ground states among many families of polynomials including the Jack polynomials.

Keywords

EN

73.43.-f; 71.10.Pm; 02.10.Ox

Discipline

• 02.10.Ox: Combinatorics; graph theory
• 71.10.Pm: Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.)(for anyon mechanism in superconductors, see 74.20.Mn)
• 73.43.-f: Quantum Hall effects

• Journal: Acta Physica Polonica A
• Year: 2017
• Volume: 132
• Issue: 2
• Pages: 405-407

Dates

published

2017-08

Contributors

author

B. Kuśmierz

• Department of Theoretical Physics, Wrocław University of Science and Technology, Wrocław, Poland

author

A. Wójs

• Department of Theoretical Physics, Wrocław University of Science and Technology, Wrocław, Poland

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Identifiers

DOI

10.12693/APhysPolA.132.405