  We demonstrate that the Riemann zeta function zeros define the position and
the widths of the resonances of the quantised Artin dynamical system. The Artin
dynamical system is defined on the fundamental region of the modular group on
the Lobachevsky plane. It has a finite volume and an infinite extension in the
vertical direction that correspond to a cusp. In classical regime the geodesic
flow in the fundamental region represents one of the most chaotic dynamical
systems, has mixing of all orders, Lebesgue spectrum and non-zero Kolmogorov
entropy. In quantum-mechanical regime the system can be associated with the
narrow infinitely long waveguide stretched out to infinity along the vertical
axis and a cavity resonator attached to it at the bottom. That suggests a
physical interpretation of the Maass automorphic wave function in the form of
an incoming plane wave of a given energy entering the resonator, bouncing
inside the resonator and scattering to infinity. As the energy of the incoming
wave comes close to the eigenmodes of the cavity a pronounced resonance
behaviour shows up in the scattering amplitude.
