R. Iasnogorodski

Restricted three particle quantum walk on ${\bf Z_{\bf +}}$: explicit solution

We consider 3 particles on ${\bf Z}{}_{+}$. One of them has infinite mass and stands still at $0$. The particles interact only if all of them are at the point $0$. We give a full description of essential, point and discrete spectra of the corresponding hamiltonian.