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Hierarchical wave functions revisited
Institution:1. Haemophilia Centre, University Hospital of Wales, Cardiff, UK;2. Department of Haematology, Oxford University Hospitals NHS Foundation Trust, Oxford, UK;3. Haemophilia and Thrombosis Centre, Guy''s and St Thomas'' NHS Foundation Trust, London, UK;4. Department of Obstetrics, Cambridge University Hospitals NHS Foundation Trust, Cambridge, UK;5. Department of Haematology, University Hospitals Birmingham, Birmingham, UK;6. Department of Haematology, Cambridge University Hospitals NHS Foundation Trust, Cambridge, UK
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.
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