Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1899417 | Reports on Mathematical Physics | 2007 | 9 Pages |
Abstract
Formulae for propagators of the system of N anyons on a plane ℂ, obeying the exoticstatistics v are explicitly derived in terms of v-equivariant anyonic harmonic functions, bihomogeneous with respect to both holomorphic and antiholomorphic positional variables, for the case of free particles and particles in the potential field of a harmonic oscillator. In the latter case, we consider the cases of absence and presence of a homogeneous magnetic field.
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