Quantum mechanics and quantum Hall effect on Reimann surfaces
| Autor: | D. Li, R. Iengo |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
High Energy Physics - Theory
Physics Nuclear and High Energy Physics Riemann surface Condensed Matter (cond-mat) FOS: Physical sciences Condensed Matter Landau quantization Quantum Hall effect Condensed Matter::Mesoscopic Systems and Quantum Hall Effect Magnetic field symbols.namesake High Energy Physics - Theory (hep-th) Quantum mechanics Metric (mathematics) symbols Mathematical structure Degeneracy (mathematics) Wave function |
| Zdroj: | Nuclear Physics B. 413:735-753 |
| ISSN: | 0550-3213 |
| Popis: | The quantum mechanics of a system of charged particles interacting with a magnetic field on Riemann surfaces is studied. We explicitly construct the wave functions of ground states in the case of a metric proportional to the Chern form of the $\theta$-bundle, and the wave functions of the Landau levels in the case of the the Poincar{\' e} metric. The degeneracy of the the Landau levels is obtained by using the Riemann-Roch theorem. Then we construct the Laughlin wave function on Riemann surfaces and discuss the mathematical structure hidden in the Laughlin wave function. Moreover the degeneracy of the Laughlin states is also discussed. Comment: 24 pages, Latex |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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