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Random Aharonov-Bohm vortices and some exact families of integrals: Part II
Stefan Mashkevich, Stéphane Ouvry
At 6th order in perturbation theory, the random magnetic impurity problem at second order in impurity density narrows down to the evaluation of a single Feynman diagram with maxima…
The Nonperiodic Anyon Model and the Fractional Quantum Hall Effect
Stefan Mashkevich, Stéphane Ouvry
The lowest-Landau-level anyon model becomes nonperiodic in the statistics parameter when the finite size of the attached flux tubes is taken into account. The finite-size effects c…
Exact results for the Spectra of Bosons and Fermions with Contact Interaction
Stefan Mashkevich, Sergey Matveenko, Stéphane Ouvry
An N-body bosonic model with delta-contact interactions projected on the lowest Landau level is considered. For a given number of particles in a given angular momentum sector, any…
Dimensional reduction on a sphere
Gunnar Moller, Sergey Matveenko, Stephane Ouvry
The question of the dimensional reduction of two-dimensional (2d) quantum models on a sphere to one-dimensional (1d) models on a circle is adressed. A possible application is to lo…
Random Aharonov-Bohm vortices and some funny families of integrals
Stephane Ouvry
A review of the random magnetic impurity model, introduced in the context of the integer Quantum Hall effect, is presented. It models an electron moving in a plane and coupled to r…
Quantum Mechanics of a Particle with Two Magnetic Impurities
Stefan Mashkevich, Jan Myrheim, Stéphane Ouvry
A two-dimensional quantum mechanical system consisting of a particle coupled to two magnetic impurities of different strengths, in a harmonic potential, is considered. Topological…