Fermi: Please write an e-mail to andrea.malchiodi@sns.it if you are interested in attending
In a pioneering work dating back to 1976, Leinaas and Myrheim foregrounded
the possibility of two-dimensional systems of identical particles obeying
fractional statistics (neither bosonic nor fermionic). This theoretical
construct is nowadays believed to play a key role in the description of
quasi-particles with fractional charges arising in the so-called fractional
quantum Hall effect. In this seminar we discuss the effects of magnetic
perturbations for a system of two anyons moving in a plane.
Via a quadratic form construction, we characterize a one-parameter family
of self-adjoint realizations of the corresponding Schroedinger operator,
yielding admissible reduced Hamiltonians. We also discuss the implications
for the related model describing a quantum particle immersed in a magnetic
field with a local singularity of Aharonov-Bohm type. In this context, we
provide a complete classification of all admissible Hamiltonians for
a specific class of magnetic potentials.Joint work with Michele Correggi (Politecnico di Milano).
http://cvgmt.sns.it/seminar/767/
