2000/11/06 by John J. Quinn, Arkadiusz Wojs, Jennifer J. Quinn +2
Chemistry · Computer Science · Mathematics · Physics and Astronomy · #Angular momentum #Boson #Chemistry #Fermion #Field (mathematics) #Magnetic field #Magnetic flux #Magnetic flux quantum #Mathematics #Momentum (technical analysis) #Physics #Physics of Superconductivity and Magnetism #Pseudopotential #Quantum Hall effect #Quantum Information and Cryptography #Quantum and electron transport phenomena #Quantum electrodynamics #Quantum mechanics #Quantum number #Spectral line #Total angular momentum quantum number #Transformation (genetics) #cond-mat.mes-hall
paper · pdf · doi:10.1016/s1386-9477(01)00199-0
published as Physica E 11, 182 (2001) · 4 pages, 1 figure, poster at ARW in Queenstown, New Zealand (2001)
arxiv created 2000/11/06 · openalex publication_date 2001/10/01 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/06
A Fermion to Boson transformation is accomplished by attaching to each Fermion a tube carrying a single quantum of flux oriented opposite to the applied magnetic field. When the mean field approximation is made in Haldane's spherical geometry, the Fermion angular momentum lF is replaced by lB=lF-(N-1)/2. The set of allowed total angular momentum multiplets is identical in the two different pictures. The Fermion and Boson energy spectra in the presence of many body interactions are identical only if the pseudopotential V (interaction energy as a function of pair angular momentum L12) increases as L12(L12+1). Similar bands of low energy states occur in the two spectra if V increases more quickly than this.