Top-level heading

Quadratic Forms for Two-Anyon Systems

Categoria
Seminari di Fisica Matematica
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker

Luca Oddis ("Sapienza" Universitá di Roma)

Abstract: We review the main issues concerning the well-posedness (as suitable self-adjoint operators) of the Hamiltonians of two non interacting anyons, i.e., exotic particles obeying to fractional statistics in two dimensions. We show that such operators can be identified with a one-parameter family of self-adjoint extensions of a suitable symmetric operator with Aharonov-Bohm-like magnetic potential. We also derive the explicit expressions of the corresponding quadratic forms and prove their closure and boundedness from below.
Joint work in progress with M. Correggi.