Hierarchical Wave Functions Revisited
arXiv:cond-mat/9711267 · doi:10.1016/S0550-3213(98)00325-3
Abstract
We study the hierarchical wave functions on a sphere and on a torus. We simplify some wave functions on a sphere or a torus using the analytic properties of wave functions. The open question, the construction of the wave function for quasielectron excitations on a torus, is also solved in this paper.
28 pages, Latex
References in corpus (7)
- Observation of the e/3 Fractionally Charged Laughlin Quasiparticles
- The Ground State Structure and Modular Transformations of Fractional Quantum Hall States on a Torus
- Quantum mechanics and quantum Hall effect on Riemann surfaces
- Analytic calculations of trial wave functions of the fractional quantum Hall effect on the sphere
- Intrinsic quasiparticle's spin and fractional quantum Hall effect on Riemann surfaces
- Hierarchical Wave Functions and Fractional Statistics in Fractional Quantum Hall Effect on the Torus
- Hierarchical Wave Functions of Fractional Quantum Hall Effect on the Torus