Charged particles interaction in both a finite volume and a uniform magnetic field: II. Topological and analytic properties of a magnetic system

In present work, we discuss some topological features of charged particles interacting a uniform magnetic field in finite volume. The edge state solutions are presented, as signature non-trivial systems, the energy spectrum states show up gap between allowed bands. By treating total momentum two-body system continuous distributed parameter complex plane, analytic properties volume is also discussed.