QUANTUM-MECHANICS AND DETERMINISTIC CHAOS

Quantum mechanical equations of motion are obtained for a system consisting of a very large number of two types of interacting bosons subject to a time-dependent external force. Under suitable choice of parameters of the Hamiltonian of the system, the equations of motion are equivalent to those describing an electric circuit consisting of a Josephson junction in series with an external capacitor and a sinusoidal voltage, or alternatively equivalent to an undamped driven pendulum. The system is capable of exhibiting deterministic chaos (extreme sensitivity to initial conditions).