$W_{1+\infty}, Similarity Transformation and Interplay Between Integer and Fractional Quantum Hall Effect
| dc.creator | Eliashvili, M. | |
| dc.date | 1994-04-15 | |
| dc.date | 1994-05-18 | |
| dc.date.accessioned | 2026-07-07T09:01:33Z | |
| dc.date.available | 2026-07-07T09:01:33Z | |
| dc.description | We consider non-unitary similarity transformation, interconnecting the $W_{1+\infty}$ algebra representations for the fractional $ν=\frac{1}{2p+1}$ and integer $ν=1$ filling fractions. This transformation corresponds to the introduction of the complex abelian Chern-Simons gauge potentials, in terms of which the field-theoretic description of FQHE can be developed. The Jain's composite fermion approach and Lopez-Fradkin equivalence assertion are considered from the point of view of unitary and similarity transformations. As an application the second-quantized form of Laughlin function is derived. | |
| dc.description | 10 pages, LaTex. ENSLAPP-A-466/94 (Revised version: some errors are corrected, references added, the assertion of quantum-mechanical equivalence for composite particles is related to the statistical gauge field generating singular unitary and similarity transformations) | |
| dc.identifier | https://arxiv.org/abs/hep-th/9404090 | |
| dc.identifier | http://arxiv.org/abs/hep-th/9404090 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/148357 | |
| dc.subject | High Energy Physics - Theory | |
| dc.title | $W_{1+\infty}, Similarity Transformation and Interplay Between Integer and Fractional Quantum Hall Effect | |
| dc.type | text |