Chaotic dynamics of some quantum anharmonic oscillators

Quantum domain behaviour of classically chaotic systems is studied using the quantum theory of motion in the sense of classical interpretation of quantum mechanics as developed by de Broglie and Bohm. Dynamics of quantum Henon-Heiles oscillator, Barbanis oscillator and CTW oscillator are analysed with the help of quantum Lyapunov exponent and Kolmogorov-Sinai entropy defined in terms of the distance between two initially close Bohmian trajectories. Standard diagnostics of quantum chaos like autocorrelation function and the associated power spectrum, nearest-neighbour spacing distribution, phase space volume, spectral rigidity, etc. support these results. Quantum theory of motion provides an alternative route for understanding quantum chaos. Nonlinear dynamics of integrable systems in quantum domain is also properly taken care of within this framework.